Number Theory III : Diophantine Geometry - neues Buch

EAN (ISBN-13): 9783642582271
Erscheinungsjahr: 2013
Herausgeber: Springer Berlin Heidelberg

Buch in der Datenbank seit 2016-11-25T02:51:07+01:00 (Berlin)
Detailseite zuletzt geändert am 2024-02-26T12:03:50+01:00 (Berlin)
ISBN/EAN: 9783642582271

ISBN - alternative Schreibweisen:
978-3-642-58227-1
Alternative Schreibweisen und verwandte Suchbegriffe:
Autor des Buches: serge lang
Titel des Buches: number theory, iii, diophantine geometry

---

Daten vom Verlag:

Autor/in: Serge Lang
Titel: Encyclopaedia of Mathematical Sciences; Number Theory III - Diophantine Geometry
Verlag: Springer; Springer Berlin
296 Seiten
Erscheinungsjahr: 2013-12-01
Berlin; Heidelberg; DE
Sprache: Englisch
99,00 € (DE)

EA; E107; eBook; Nonbooks, PBS / Mathematik/Arithmetik, Algebra; Zahlentheorie; Verstehen; Abelian varieties; Abelian variety; Dimension; Diophantine approximation; Divisor; elliptic curve; Isogenie; number theory; sheaves; C; Number Theory; Algebraic Geometry; Mathematics and Statistics; Algebraische Geometrie; BB

... It is fascinating to see how geometry, arithmetic and complex analysis grow together!..." Monatshefte für Mathematik, 1993 a:3:{s:4:"NAME";s:7:"Product";s:5:"ATTRS";a:1:{s:9:"datestamp";s:8:"20240322";}s:5:"CHILD";a:14:{i:0;a:2:{s:4:"NAME";s:15:"RecordReference";s:5:"CDATA";s:32:"b478cd96aa1f439681453ed8cbed3350";}i:1;a:2:{s:4:"NAME";s:16:"NotificationType";s:5:"CDATA";s:2:"03";}i:2;a:2:{s:4:"NAME";s:17:"ProductIdentifier";s:5:"CHILD";a:3:{i:0;a:2:{s:4:"NAME";s:13:"ProductIDType";s:5:"CDATA";s:2:"01";}i:1;a:2:{s:4:"NAME";s:10:"IDTypeName";s:5:"CDATA";s:10:"VLB_ID_old";}i:2;a:2:{s:4:"NAME";s:7:"IDValue";s:5:"CDATA";s:7:"4981406";}}}i:3;a:2:{s:4:"NAME";s:17:"ProductIdentifier";s:5:"CHILD";a:3:{i:0;a:2:{s:4:"NAME";s:13:"ProductIDType";s:5:"CDATA";s:2:"01";}i:1;a:2:{s:4:"NAME";s:10:"IDTypeName";s:5:"CDATA";s:19:"Publishers Order No";}i:2;a:2:{s:4:"NAME";s:7:"IDValue";s:5:"CDATA";s:17:"978-3-642-58227-1";}}}i:4;a:2:{s:4:"NAME";s:17:"ProductIdentifier";s:5:"CHILD";a:3:{i:0;a:2:{s:4:"NAME";s:13:"ProductIDType";s:5:"CDATA";s:2:"01";}i:1;a:2:{s:4:"NAME";s:10:"IDTypeName";s:5:"CDATA";s:19:"Publishers Order No";}i:2;a:2:{s:4:"NAME";s:7:"IDValue";s:5:"CDATA";s:8:"80051358";}}}i:5;a:2:{s:4:"NAME";s:17:"ProductIdentifier";s:5:"CHILD";a:2:{i:0;a:2:{s:4:"NAME";s:13:"ProductIDType";s:5:"CDATA";s:2:"02";}i:1;a:2:{s:4:"NAME";s:7:"IDValue";s:5:"CDATA";s:10:"3642582273";}}}i:6;a:2:{s:4:"NAME";s:17:"ProductIdentifier";s:5:"CHILD";a:2:{i:0;a:2:{s:4:"NAME";s:13:"ProductIDType";s:5:"CDATA";s:2:"03";}i:1;a:2:{s:4:"NAME";s:7:"IDValue";s:5:"CDATA";s:13:"9783642582271";}}}i:7;a:2:{s:4:"NAME";s:17:"ProductIdentifier";s:5:"CHILD";a:2:{i:0;a:2:{s:4:"NAME";s:13:"ProductIDType";s:5:"CDATA";s:2:"06";}i:1;a:2:{s:4:"NAME";s:7:"IDValue";s:5:"CDATA";s:25:"10.1007/978-3-642-58227-1";}}}i:8;a:2:{s:4:"NAME";s:17:"ProductIdentifier";s:5:"CHILD";a:2:{i:0;a:2:{s:4:"NAME";s:13:"ProductIDType";s:5:"CDATA";s:2:"15";}i:1;a:2:{s:4:"NAME";s:7:"IDValue";s:5:"CDATA";s:13:"9783642582271";}}}i:9;a:2:{s:4:"NAME";s:17:"DescriptiveDetail";s:5:"CHILD";a:41:{i:0;a:2:{s:4:"NAME";s:18:"ProductComposition";s:5:"CDATA";s:2:"00";}i:1;a:2:{s:4:"NAME";s:11:"ProductForm";s:5:"CDATA";s:2:"EA";}i:2;a:2:{s:4:"NAME";s:17:"ProductFormDetail";s:5:"CDATA";s:4:"E107";}i:3;a:2:{s:4:"NAME";s:18:"ProductFormFeature";s:5:"CHILD";a:3:{i:0;a:2:{s:4:"NAME";s:22:"ProductFormFeatureType";s:5:"CDATA";s:2:"01";}i:1;a:2:{s:4:"NAME";s:23:"ProductFormFeatureValue";s:5:"CDATA";s:3:"BLU";}i:2;a:2:{s:4:"NAME";s:29:"ProductFormFeatureDescription";s:5:"CDATA";s:3:"11%";}}}i:4;a:2:{s:4:"NAME";s:18:"ProductFormFeature";s:5:"CHILD";a:3:{i:0;a:2:{s:4:"NAME";s:22:"ProductFormFeatureType";s:5:"CDATA";s:2:"01";}i:1;a:2:{s:4:"NAME";s:23:"ProductFormFeatureValue";s:5:"CDATA";s:3:"BRN";}i:2;a:2:{s:4:"NAME";s:29:"ProductFormFeatureDescription";s:5:"CDATA";s:2:"1%";}}}i:5;a:2:{s:4:"NAME";s:18:"ProductFormFeature";s:5:"CHILD";a:3:{i:0;a:2:{s:4:"NAME";s:22:"ProductFormFeatureType";s:5:"CDATA";s:2:"01";}i:1;a:2:{s:4:"NAME";s:23:"ProductFormFeatureValue";s:5:"CDATA";s:3:"YEL";}i:2;a:2:{s:4:"NAME";s:29:"ProductFormFeatureDescription";s:5:"CDATA";s:3:"87%";}}}i:6;a:2:{s:4:"NAME";s:22:"ProductFormDescription";s:5:"CDATA";s:5:"eBook";}i:7;a:2:{s:4:"NAME";s:18:"PrimaryContentType";s:5:"CDATA";s:2:"10";}i:8;a:2:{s:4:"NAME";s:10:"Collection";s:5:"CHILD";a:3:{i:0;a:2:{s:4:"NAME";s:14:"CollectionType";s:5:"CDATA";s:2:"10";}i:1;a:2:{s:4:"NAME";s:20:"CollectionIdentifier";s:5:"CHILD";a:2:{i:0;a:2:{s:4:"NAME";s:16:"CollectionIDType";s:5:"CDATA";s:2:"04";}i:1;a:2:{s:4:"NAME";s:7:"IDValue";s:5:"CDATA";s:5:"RW865";}}}i:2;a:2:{s:4:"NAME";s:11:"TitleDetail";s:5:"CHILD";a:3:{i:0;a:2:{s:4:"NAME";s:9:"TitleType";s:5:"CDATA";s:2:"01";}i:1;a:2:{s:4:"NAME";s:12:"TitleElement";s:5:"CHILD";a:2:{i:0;a:2:{s:4:"NAME";s:17:"TitleElementLevel";s:5:"CDATA";s:2:"02";}i:1;a:2:{s:4:"NAME";s:9:"TitleText";s:5:"CDATA";s:38:"Encyclopaedia of Mathematical Sciences";}}}i:2;a:2:{s:4:"NAME";s:12:"TitleElement";s:5:"CHILD";a:2:{i:0;a:2:{s:4:"NAME";s:17:"TitleElementLevel";s:5:"CDATA";s:2:"01";}i:1;a:2:{s:4:"NAME";s:10:"PartNumber";s:5:"CDATA";s:2:"60";}}}}}}}i:9;a:2:{s:4:"NAME";s:11:"TitleDetail";s:5:"CHILD";a:2:{i:0;a:2:{s:4:"NAME";s:9:"TitleType";s:5:"CDATA";s:2:"01";}i:1;a:2:{s:4:"NAME";s:12:"TitleElement";s:5:"CHILD";a:3:{i:0;a:2:{s:4:"NAME";s:17:"TitleElementLevel";s:5:"CDATA";s:2:"01";}i:1;a:2:{s:4:"NAME";s:9:"TitleText";s:5:"CDATA";s:17:"Number Theory III";}i:2;a:2:{s:4:"NAME";s:8:"Subtitle";s:5:"CDATA";s:20:"Diophantine Geometry";}}}}}i:10;a:2:{s:4:"NAME";s:11:"Contributor";s:5:"CHILD";a:6:{i:0;a:2:{s:4:"NAME";s:14:"SequenceNumber";s:5:"CDATA";s:1:"1";}i:1;a:2:{s:4:"NAME";s:15:"ContributorRole";s:5:"CDATA";s:3:"A01";}i:2;a:2:{s:4:"NAME";s:10:"PersonName";s:5:"CDATA";s:10:"Serge Lang";}i:3;a:2:{s:4:"NAME";s:18:"PersonNameInverted";s:5:"CDATA";s:11:"Lang, Serge";}i:4;a:2:{s:4:"NAME";s:14:"NamesBeforeKey";s:5:"CDATA";s:5:"Serge";}i:5;a:2:{s:4:"NAME";s:8:"KeyNames";s:5:"CDATA";s:4:"Lang";}}}i:11;a:2:{s:4:"NAME";s:11:"Contributor";s:5:"CHILD";a:6:{i:0;a:2:{s:4:"NAME";s:14:"SequenceNumber";s:5:"CDATA";s:1:"2";}i:1;a:2:{s:4:"NAME";s:15:"ContributorRole";s:5:"CDATA";s:3:"B01";}i:2;a:2:{s:4:"NAME";s:10:"PersonName";s:5:"CDATA";s:10:"Serge Lang";}i:3;a:2:{s:4:"NAME";s:18:"PersonNameInverted";s:5:"CDATA";s:11:"Lang, Serge";}i:4;a:2:{s:4:"NAME";s:14:"NamesBeforeKey";s:5:"CDATA";s:5:"Serge";}i:5;a:2:{s:4:"NAME";s:8:"KeyNames";s:5:"CDATA";s:4:"Lang";}}}i:12;a:2:{s:4:"NAME";s:16:"EditionStatement";s:5:"CDATA";s:4:"1991";}i:13;a:2:{s:4:"NAME";s:8:"Language";s:5:"CHILD";a:2:{i:0;a:2:{s:4:"NAME";s:12:"LanguageRole";s:5:"CDATA";s:2:"01";}i:1;a:2:{s:4:"NAME";s:12:"LanguageCode";s:5:"CDATA";s:3:"eng";}}}i:14;a:2:{s:4:"NAME";s:6:"Extent";s:5:"CHILD";a:3:{i:0;a:2:{s:4:"NAME";s:10:"ExtentType";s:5:"CDATA";s:2:"00";}i:1;a:2:{s:4:"NAME";s:11:"ExtentValue";s:5:"CDATA";s:3:"296";}i:2;a:2:{s:4:"NAME";s:10:"ExtentUnit";s:5:"CDATA";s:2:"03";}}}i:15;a:2:{s:4:"NAME";s:6:"Extent";s:5:"CHILD";a:4:{i:0;a:2:{s:4:"NAME";s:10:"ExtentType";s:5:"CDATA";s:2:"03";}i:1;a:2:{s:4:"NAME";s:11:"ExtentValue";s:5:"CDATA";s:2:"13";}i:2;a:2:{s:4:"NAME";s:16:"ExtentValueRoman";s:5:"CDATA";s:4:"XIII";}i:3;a:2:{s:4:"NAME";s:10:"ExtentUnit";s:5:"CDATA";s:2:"03";}}}i:16;a:2:{s:4:"NAME";s:17:"IllustrationsNote";s:5:"CDATA";s:12:"XIII, 296 p.";}i:17;a:2:{s:4:"NAME";s:16:"AncillaryContent";s:5:"CHILD";a:2:{i:0;a:2:{s:4:"NAME";s:20:"AncillaryContentType";s:5:"CDATA";s:2:"26";}i:1;a:2:{s:4:"NAME";s:27:"AncillaryContentDescription";s:5:"CDATA";s:12:"XIII, 296 p.";}}}i:18;a:2:{s:4:"NAME";s:7:"Subject";s:5:"CHILD";a:3:{i:0;a:1:{s:4:"NAME";s:11:"MainSubject";}i:1;a:2:{s:4:"NAME";s:23:"SubjectSchemeIdentifier";s:5:"CDATA";s:2:"10";}i:2;a:2:{s:4:"NAME";s:11:"SubjectCode";s:5:"CDATA";s:9:"MAT022000";}}}i:19;a:2:{s:4:"NAME";s:7:"Subject";s:5:"CHILD";a:3:{i:0;a:1:{s:4:"NAME";s:11:"MainSubject";}i:1;a:2:{s:4:"NAME";s:23:"SubjectSchemeIdentifier";s:5:"CDATA";s:2:"12";}i:2;a:2:{s:4:"NAME";s:11:"SubjectCode";s:5:"CDATA";s:3:"PBH";}}}i:20;a:2:{s:4:"NAME";s:7:"Subject";s:5:"CHILD";a:5:{i:0;a:1:{s:4:"NAME";s:11:"MainSubject";}i:1;a:2:{s:4:"NAME";s:23:"SubjectSchemeIdentifier";s:5:"CDATA";s:2:"26";}i:2;a:2:{s:4:"NAME";s:20:"SubjectSchemeVersion";s:5:"CDATA";s:3:"2.0";}i:3;a:2:{s:4:"NAME";s:11:"SubjectCode";s:5:"CDATA";s:4:"9623";}i:4;a:2:{s:4:"NAME";s:18:"SubjectHeadingText";s:5:"CDATA";s:46:"Nonbooks, PBS / Mathematik/Arithmetik, Algebra";}}}i:21;a:3:{s:4:"NAME";s:7:"Subject";s:5:"ATTRS";a:1:{s:10:"sourcename";s:9:"Publisher";}s:5:"CHILD";a:5:{i:0;a:1:{s:4:"NAME";s:11:"MainSubject";}i:1;a:2:{s:4:"NAME";s:23:"SubjectSchemeIdentifier";s:5:"CDATA";s:2:"93";}i:2;a:2:{s:4:"NAME";s:20:"SubjectSchemeVersion";s:5:"CDATA";s:3:"1.5";}i:3;a:2:{s:4:"NAME";s:11:"SubjectCode";s:5:"CDATA";s:3:"PBH";}i:4;a:2:{s:4:"NAME";s:18:"SubjectHeadingText";s:5:"CDATA";s:13:"Zahlentheorie";}}}i:22;a:3:{s:4:"NAME";s:7:"Subject";s:5:"ATTRS";a:1:{s:10:"sourcename";s:3:"MVB";}s:5:"CHILD";a:4:{i:0;a:1:{s:4:"NAME";s:11:"MainSubject";}i:1;a:2:{s:4:"NAME";s:23:"SubjectSchemeIdentifier";s:5:"CDATA";s:2:"B8";}i:2;a:2:{s:4:"NAME";s:11:"SubjectCode";s:5:"CDATA";s:2:"10";}i:3;a:2:{s:4:"NAME";s:18:"SubjectHeadingText";s:5:"CDATA";s:9:"Verstehen";}}}i:23;a:2:{s:4:"NAME";s:7:"Subject";s:5:"CHILD";a:2:{i:0;a:2:{s:4:"NAME";s:23:"SubjectSchemeIdentifier";s:5:"CDATA";s:2:"10";}i:1;a:2:{s:4:"NAME";s:11:"SubjectCode";s:5:"CDATA";s:9:"MAT012010";}}}i:24;a:2:{s:4:"NAME";s:7:"Subject";s:5:"CHILD";a:2:{i:0;a:2:{s:4:"NAME";s:23:"SubjectSchemeIdentifier";s:5:"CDATA";s:2:"12";}i:1;a:2:{s:4:"NAME";s:11:"SubjectCode";s:5:"CDATA";s:4:"PBMW";}}}i:25;a:3:{s:4:"NAME";s:7:"Subject";s:5:"ATTRS";a:1:{s:10:"sourcename";s:3:"DNB";}s:5:"CHILD";a:2:{i:0;a:2:{s:4:"NAME";s:23:"SubjectSchemeIdentifier";s:5:"CDATA";s:2:"18";}i:1;a:2:{s:4:"NAME";s:11:"SubjectCode";s:5:"CDATA";s:3:"510";}}}i:26;a:2:{s:4:"NAME";s:7:"Subject";s:5:"CHILD";a:2:{i:0;a:2:{s:4:"NAME";s:23:"SubjectSchemeIdentifier";s:5:"CDATA";s:2:"20";}i:1;a:2:{s:4:"NAME";s:18:"SubjectHeadingText";s:5:"CDATA";s:17:"Abelian varieties";}}}i:27;a:2:{s:4:"NAME";s:7:"Subject";s:5:"CHILD";a:2:{i:0;a:2:{s:4:"NAME";s:23:"SubjectSchemeIdentifier";s:5:"CDATA";s:2:"20";}i:1;a:2:{s:4:"NAME";s:18:"SubjectHeadingText";s:5:"CDATA";s:15:"Abelian variety";}}}i:28;a:2:{s:4:"NAME";s:7:"Subject";s:5:"CHILD";a:2:{i:0;a:2:{s:4:"NAME";s:23:"SubjectSchemeIdentifier";s:5:"CDATA";s:2:"20";}i:1;a:2:{s:4:"NAME";s:18:"SubjectHeadingText";s:5:"CDATA";s:9:"Dimension";}}}i:29;a:2:{s:4:"NAME";s:7:"Subject";s:5:"CHILD";a:2:{i:0;a:2:{s:4:"NAME";s:23:"SubjectSchemeIdentifier";s:5:"CDATA";s:2:"20";}i:1;a:2:{s:4:"NAME";s:18:"SubjectHeadingText";s:5:"CDATA";s:25:"Diophantine approximation";}}}i:30;a:2:{s:4:"NAME";s:7:"Subject";s:5:"CHILD";a:2:{i:0;a:2:{s:4:"NAME";s:23:"SubjectSchemeIdentifier";s:5:"CDATA";s:2:"20";}i:1;a:2:{s:4:"NAME";s:18:"SubjectHeadingText";s:5:"CDATA";s:7:"Divisor";}}}i:31;a:2:{s:4:"NAME";s:7:"Subject";s:5:"CHILD";a:2:{i:0;a:2:{s:4:"NAME";s:23:"SubjectSchemeIdentifier";s:5:"CDATA";s:2:"20";}i:1;a:2:{s:4:"NAME";s:18:"SubjectHeadingText";s:5:"CDATA";s:14:"elliptic curve";}}}i:32;a:2:{s:4:"NAME";s:7:"Subject";s:5:"CHILD";a:2:{i:0;a:2:{s:4:"NAME";s:23:"SubjectSchemeIdentifier";s:5:"CDATA";s:2:"20";}i:1;a:2:{s:4:"NAME";s:18:"SubjectHeadingText";s:5:"CDATA";s:8:"Isogenie";}}}i:33;a:2:{s:4:"NAME";s:7:"Subject";s:5:"CHILD";a:2:{i:0;a:2:{s:4:"NAME";s:23:"SubjectSchemeIdentifier";s:5:"CDATA";s:2:"20";}i:1;a:2:{s:4:"NAME";s:18:"SubjectHeadingText";s:5:"CDATA";s:13:"number theory";}}}i:34;a:2:{s:4:"NAME";s:7:"Subject";s:5:"CHILD";a:2:{i:0;a:2:{s:4:"NAME";s:23:"SubjectSchemeIdentifier";s:5:"CDATA";s:2:"20";}i:1;a:2:{s:4:"NAME";s:18:"SubjectHeadingText";s:5:"CDATA";s:7:"sheaves";}}}i:35;a:2:{s:4:"NAME";s:7:"Subject";s:5:"CHILD";a:3:{i:0;a:2:{s:4:"NAME";s:23:"SubjectSchemeIdentifier";s:5:"CDATA";s:2:"24";}i:1;a:2:{s:4:"NAME";s:17:"SubjectSchemeName";s:5:"CDATA";s:40:"Springer Nature Marketing Classification";}i:2;a:2:{s:4:"NAME";s:18:"SubjectHeadingText";s:5:"CDATA";s:1:"C";}}}i:36;a:2:{s:4:"NAME";s:7:"Subject";s:5:"CHILD";a:4:{i:0;a:2:{s:4:"NAME";s:23:"SubjectSchemeIdentifier";s:5:"CDATA";s:2:"24";}i:1;a:2:{s:4:"NAME";s:17:"SubjectSchemeName";s:5:"CDATA";s:24:"Springer Nature Taxonomy";}i:2;a:2:{s:4:"NAME";s:11:"SubjectCode";s:5:"CDATA";s:4:"4799";}i:3;a:2:{s:4:"NAME";s:18:"SubjectHeadingText";s:5:"CDATA";s:13:"Number Theory";}}}i:37;a:2:{s:4:"NAME";s:7:"Subject";s:5:"CHILD";a:4:{i:0;a:2:{s:4:"NAME";s:23:"SubjectSchemeIdentifier";s:5:"CDATA";s:2:"24";}i:1;a:2:{s:4:"NAME";s:17:"SubjectSchemeName";s:5:"CDATA";s:24:"Springer Nature Taxonomy";}i:2;a:2:{s:4:"NAME";s:11:"SubjectCode";s:5:"CDATA";s:4:"6291";}i:3;a:2:{s:4:"NAME";s:18:"SubjectHeadingText";s:5:"CDATA";s:18:"Algebraic Geometry";}}}i:38;a:2:{s:4:"NAME";s:7:"Subject";s:5:"CHILD";a:4:{i:0;a:2:{s:4:"NAME";s:23:"SubjectSchemeIdentifier";s:5:"CDATA";s:2:"24";}i:1;a:2:{s:4:"NAME";s:17:"SubjectSchemeName";s:5:"CDATA";s:34:"Springer Nature Subject Collection";}i:2;a:2:{s:4:"NAME";s:11:"SubjectCode";s:5:"CDATA";s:9:"SUCO11649";}i:3;a:2:{s:4:"NAME";s:18:"SubjectHeadingText";s:5:"CDATA";s:26:"Mathematics and Statistics";}}}i:39;a:3:{s:4:"NAME";s:7:"Subject";s:5:"ATTRS";a:1:{s:10:"sourcename";s:9:"Publisher";}s:5:"CHILD";a:4:{i:0;a:2:{s:4:"NAME";s:23:"SubjectSchemeIdentifier";s:5:"CDATA";s:2:"93";}i:1;a:2:{s:4:"NAME";s:20:"SubjectSchemeVersion";s:5:"CDATA";s:3:"1.5";}i:2;a:2:{s:4:"NAME";s:11:"SubjectCode";s:5:"CDATA";s:4:"PBMW";}i:3;a:2:{s:4:"NAME";s:18:"SubjectHeadingText";s:5:"CDATA";s:22:"Algebraische Geometrie";}}}i:40;a:2:{s:4:"NAME";s:8:"Audience";s:5:"CHILD";a:3:{i:0;a:2:{s:4:"NAME";s:16:"AudienceCodeType";s:5:"CDATA";s:2:"02";}i:1;a:2:{s:4:"NAME";s:20:"AudienceCodeTypeName";s:5:"CDATA";s:29:"Springer Nature Content Level";}i:2;a:2:{s:4:"NAME";s:17:"AudienceCodeValue";s:5:"CDATA";s:8:"Research";}}}}}i:10;a:2:{s:4:"NAME";s:16:"CollateralDetail";s:5:"CHILD";a:6:{i:0;a:2:{s:4:"NAME";s:11:"TextContent";s:5:"CHILD";a:3:{i:0;a:2:{s:4:"NAME";s:8:"TextType";s:5:"CDATA";s:2:"03";}i:1;a:2:{s:4:"NAME";s:15:"ContentAudience";s:5:"CDATA";s:2:"00";}i:2;a:3:{s:4:"NAME";s:4:"Text";s:5:"ATTRS";a:1:{s:10:"textformat";s:2:"06";}s:5:"CDATA";s:1462:"In 1988 Shafarevich asked me to write a volume for the Encyclopaedia of Mathematical Sciences on Diophantine Geometry. I said yes, and here is the volume. By definition, diophantine problems concern the solutions of equations in integers, or rational numbers, or various generalizations, such as finitely generated rings over Z or finitely generated fields over Q. The word Geometry is tacked on to suggest geometric methods. This means that the present volume is not elementary. For a survey of some basic problems with a much more elementary approach, see [La 9Oc]. The field of diophantine geometry is now moving quite rapidly. Out standing conjectures ranging from decades back are being proved. I have tried to give the book some sort of coherence and permanence by em phasizing structural conjectures as much as results, so that one has a clear picture of the field. On the whole, I omit proofs, according to the boundary conditions of the encyclopedia. On some occasions I do give some ideasfor the proofs when these are especially important. In any case, a lengthy bibliography refers to papers and books where proofs may be found. I have also followed Shafarevich's suggestion to give examples, and I have especially chosen these examples which show how some classical problems do or do not get solved by contemporary in sights. Fermat's last theorem occupies an intermediate position. Al though it is not proved, it is not an isolated problem any more.";}}}i:1;a:2:{s:4:"NAME";s:11:"TextContent";s:5:"CHILD";a:3:{i:0;a:2:{s:4:"NAME";s:8:"TextType";s:5:"CDATA";s:2:"04";}i:1;a:2:{s:4:"NAME";s:15:"ContentAudience";s:5:"CDATA";s:2:"00";}i:2;a:3:{s:4:"NAME";s:4:"Text";s:5:"ATTRS";a:1:{s:10:"textformat";s:2:"06";}s:5:"CDATA";s:2726:"I Some Qualitative Diophantine Statements.- §1. Basic Geometric Notions.- §2. The Canonical Class and the Genus.- §3. The Special Set.- §4. Abelian Varieties.- §5. Algebraic Equivalence and the Néron-Severi Group.- §6. Subvarieties of Abelian and Semiabelian Varieties.- §7. Hilbert Irreducibility.- II Heights and Rational Points.- §1. The Height for Rational Numbers and Rational Functions.- §2. The Height in Finite Extensions.- §3. The Height on Varieties and Divisor Classes.- §4. Bound for the Height of Algebraic Points.- III Abelian Varieties.- §0. Basic Facts About Algebraic Families and Néron Models.- §1, The Height as a Quadratic Function.- §2. Algebraic Families of Heights.- §3. Torsion Points and the l-Adic Representations.- §4. Principal Homogeneous Spaces and Infinite Descents.- §5. The Birch-Swinnerton-Dyer Conjecture.- §6. The Case of Elliptic Curves Over Q.- IV Faltings’ Finiteness Theorems on Abelian Varieties and Curves.- §1. Torelli’s Theorem.- §2. The Shafarevich Conjecture.- §3. The l-Adic Representations and Semisimplicity.- §4. The Finiteness of Certain l-Adic Representations. Finiteness I Implies Finiteness II.- §5. The Faltings Height and Isogenies: Finiteness I.- §6. The Masser-Wustholz Approach to Finiteness I.- V Modular Curves Over Q.- §1. Basic Definitions.- §2. Mazur’s Theorems.- §3. Modular Elliptic Curves and Fermat’s Last Theorem.- §4. Application to Pythagorean Triples.- §5. Modular Elliptic Curves of Rank 1.- VI The Geometric Case of Mordell’s Conjecture.- §0. Basic Geometric Facts.- §1. The Function Field Case and Its Canonical Sheaf.- §2. Grauert’s Construction and Vojta’s Inequality.- §3. Parshin’s Method with (?;2x/y).- §4. Manin’s Method with Connections.- §5. Characteristic p and Voloch’s Theorem.- VII Arakelov Theory.- §1. Admissible Metrics Over C.- §2. Arakelov Intersections.- §3. Higher Dimensional Arakelov Theory.- VIII Diophantine Problems and Complex Geometry.- §1. Definitions of Hyperbolicity.- §2. Chern Form and Curvature.- §3. Parshin’s Hyperbolic Method.- §4. Hyperbolic Imbeddings and Noguchi’s Theorems.- §5. Nevanlinna Theory.- IX Weil Functions. Integral Points and Diophantine Approximations.- §1. Weil Functions and Heights.- §2. The Theorems of Roth and Schmidt.- §3. Integral Points.- §4. Vojta’s Conjectures.- §5. Connection with Hyperbolicity.- §6. From Thue-Siegel to Vojta and Faltings.- §7. Diophantine Approximation on Toruses.- X Existence of (Many) Rational Points.- §1. Forms in Many Variables.- §2. The Brauer Group of a Variety and Manin’s Obstruction.- §3. Local Specialization Principle.- §4. Anti-Canonical Varieties and Rational Points.";}}}i:2;a:2:{s:4:"NAME";s:11:"TextContent";s:5:"CHILD";a:3:{i:0;a:2:{s:4:"NAME";s:8:"TextType";s:5:"CDATA";s:2:"06";}i:1;a:2:{s:4:"NAME";s:15:"ContentAudience";s:5:"CDATA";s:2:"00";}i:2;a:3:{s:4:"NAME";s:4:"Text";s:5:"ATTRS";a:1:{s:10:"textformat";s:2:"06";}s:5:"CDATA";s:894:"From the reviews: "Between number theory and geometry there have been several stimulating influences, and this book records these enterprises. This author, who has been at the centre of such research for many years, is one of the best guides a reader can hope for. The book is full of beautiful results, open questions, stimulating conjectures and suggestions where to look for future developments. This volume bears witness of the broad scope of knowledge of the author, and the influence of several people who have commented on the manuscript before publication... Although in the series of number theory, this volume is on diophantine geometry, the reader will notice that algebraic geometry is present in every chapter. ...The style of the book is clear. Ideas are well explained, and the author helps the reader to pass by several technicalities. Mededelingen van het wiskundig genootschap";}}}i:3;a:2:{s:4:"NAME";s:11:"TextContent";s:5:"CHILD";a:3:{i:0;a:2:{s:4:"NAME";s:8:"TextType";s:5:"CDATA";s:2:"05";}i:1;a:2:{s:4:"NAME";s:15:"ContentAudience";s:5:"CDATA";s:2:"00";}i:2;a:4:{s:4:"NAME";s:4:"Text";s:5:"ATTRS";a:1:{s:10:"textformat";s:2:"05";}s:5:"CHILD";a:3:{i:0;a:1:{s:4:"NAME";s:2:"br";}i:1;a:1:{s:4:"NAME";s:2:"br";}i:2;a:1:{s:4:"NAME";s:2:"br";}}s:5:"CDATA";s:129:"... It is fascinating to see how geometry, arithmetic and complex analysis grow together!..." Monatshefte für Mathematik, 1993";}}}i:4;a:2:{s:4:"NAME";s:11:"TextContent";s:5:"CHILD";a:3:{i:0;a:2:{s:4:"NAME";s:8:"TextType";s:5:"CDATA";s:2:"11";}i:1;a:2:{s:4:"NAME";s:15:"ContentAudience";s:5:"CDATA";s:2:"02";}i:2;a:3:{s:4:"NAME";s:4:"Text";s:5:"ATTRS";a:1:{s:10:"textformat";s:2:"06";}s:5:"CDATA";s:324:"Serge Lang is well-known as a mathematician and as an author of mathematical books, some of which have become standard texts. The current volume is the first to appear of the volumes covering number theory. The book gives an accessible presentation of an area of number theory that has recently had very important successes.";}}}i:5;a:2:{s:4:"NAME";s:18:"SupportingResource";s:5:"CHILD";a:4:{i:0;a:2:{s:4:"NAME";s:19:"ResourceContentType";s:5:"CDATA";s:2:"01";}i:1;a:2:{s:4:"NAME";s:15:"ContentAudience";s:5:"CDATA";s:2:"00";}i:2;a:2:{s:4:"NAME";s:12:"ResourceMode";s:5:"CDATA";s:2:"03";}i:3;a:2:{s:4:"NAME";s:15:"ResourceVersion";s:5:"CHILD";a:10:{i:0;a:2:{s:4:"NAME";s:12:"ResourceForm";s:5:"CDATA";s:2:"02";}i:1;a:2:{s:4:"NAME";s:22:"ResourceVersionFeature";s:5:"CHILD";a:2:{i:0;a:2:{s:4:"NAME";s:26:"ResourceVersionFeatureType";s:5:"CDATA";s:2:"01";}i:1;a:2:{s:4:"NAME";s:12:"FeatureValue";s:5:"CDATA";s:4:"D502";}}}i:2;a:2:{s:4:"NAME";s:22:"ResourceVersionFeature";s:5:"CHILD";a:2:{i:0;a:2:{s:4:"NAME";s:26:"ResourceVersionFeatureType";s:5:"CDATA";s:2:"02";}i:1;a:2:{s:4:"NAME";s:12:"FeatureValue";s:5:"CDATA";s:4:"1264";}}}i:3;a:2:{s:4:"NAME";s:22:"ResourceVersionFeature";s:5:"CHILD";a:2:{i:0;a:2:{s:4:"NAME";s:26:"ResourceVersionFeatureType";s:5:"CDATA";s:2:"03";}i:1;a:2:{s:4:"NAME";s:12:"FeatureValue";s:5:"CDATA";s:3:"827";}}}i:4;a:2:{s:4:"NAME";s:22:"ResourceVersionFeature";s:5:"CHILD";a:2:{i:0;a:2:{s:4:"NAME";s:26:"ResourceVersionFeatureType";s:5:"CDATA";s:2:"04";}i:1;a:2:{s:4:"NAME";s:12:"FeatureValue";s:5:"CDATA";s:17:"9783642582271.jpg";}}}i:5;a:2:{s:4:"NAME";s:22:"ResourceVersionFeature";s:5:"CHILD";a:2:{i:0;a:2:{s:4:"NAME";s:26:"ResourceVersionFeatureType";s:5:"CDATA";s:2:"06";}i:1;a:2:{s:4:"NAME";s:12:"FeatureValue";s:5:"CDATA";s:32:"a362ed72197b67a91af597da81387a7a";}}}i:6;a:2:{s:4:"NAME";s:22:"ResourceVersionFeature";s:5:"CHILD";a:2:{i:0;a:2:{s:4:"NAME";s:26:"ResourceVersionFeatureType";s:5:"CDATA";s:2:"07";}i:1;a:2:{s:4:"NAME";s:12:"FeatureValue";s:5:"CDATA";s:6:"295499";}}}i:7;a:2:{s:4:"NAME";s:22:"ResourceVersionFeature";s:5:"CHILD";a:2:{i:0;a:2:{s:4:"NAME";s:26:"ResourceVersionFeatureType";s:5:"CDATA";s:2:"08";}i:1;a:2:{s:4:"NAME";s:12:"FeatureValue";s:5:"CDATA";s:64:"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855";}}}i:8;a:2:{s:4:"NAME";s:12:"ResourceLink";s:5:"CDATA";s:47:"https://api.vlb.de/api/v1/cover/9783642582271/m";}i:9;a:2:{s:4:"NAME";s:11:"ContentDate";s:5:"CHILD";a:2:{i:0;a:2:{s:4:"NAME";s:15:"ContentDateRole";s:5:"CDATA";s:2:"17";}i:1;a:3:{s:4:"NAME";s:4:"Date";s:5:"ATTRS";a:1:{s:10:"dateformat";s:2:"00";}s:5:"CDATA";s:8:"20231124";}}}}}}}}}i:11;a:2:{s:4:"NAME";s:16:"PublishingDetail";s:5:"CHILD";a:8:{i:0;a:2:{s:4:"NAME";s:7:"Imprint";s:5:"CHILD";a:2:{i:0;a:2:{s:4:"NAME";s:17:"ImprintIdentifier";s:5:"CHILD";a:2:{i:0;a:2:{s:4:"NAME";s:13:"ImprintIDType";s:5:"CDATA";s:2:"01";}i:1;a:2:{s:4:"NAME";s:7:"IDValue";s:5:"CDATA";s:3:"SPR";}}}i:1;a:2:{s:4:"NAME";s:11:"ImprintName";s:5:"CDATA";s:8:"Springer";}}}i:1;a:2:{s:4:"NAME";s:9:"Publisher";s:5:"CHILD";a:3:{i:0;a:2:{s:4:"NAME";s:14:"PublishingRole";s:5:"CDATA";s:2:"01";}i:1;a:2:{s:4:"NAME";s:19:"PublisherIdentifier";s:5:"CHILD";a:2:{i:0;a:2:{s:4:"NAME";s:15:"PublisherIDType";s:5:"CDATA";s:2:"05";}i:1;a:2:{s:4:"NAME";s:7:"IDValue";s:5:"CDATA";s:7:"5108985";}}}i:2;a:2:{s:4:"NAME";s:13:"PublisherName";s:5:"CDATA";s:15:"Springer Berlin";}}}i:2;a:2:{s:4:"NAME";s:17:"CityOfPublication";s:5:"CDATA";s:6:"Berlin";}i:3;a:2:{s:4:"NAME";s:17:"CityOfPublication";s:5:"CDATA";s:10:"Heidelberg";}i:4;a:2:{s:4:"NAME";s:20:"CountryOfPublication";s:5:"CDATA";s:2:"DE";}i:5;a:2:{s:4:"NAME";s:16:"PublishingStatus";s:5:"CDATA";s:2:"04";}i:6;a:2:{s:4:"NAME";s:14:"PublishingDate";s:5:"CHILD";a:2:{i:0;a:2:{s:4:"NAME";s:18:"PublishingDateRole";s:5:"CDATA";s:2:"01";}i:1;a:3:{s:4:"NAME";s:4:"Date";s:5:"ATTRS";a:1:{s:10:"dateformat";s:2:"00";}s:5:"CDATA";s:8:"20131201";}}}i:7;a:2:{s:4:"NAME";s:11:"SalesRights";s:5:"CHILD";a:2:{i:0;a:2:{s:4:"NAME";s:15:"SalesRightsType";s:5:"CDATA";s:2:"01";}i:1;a:2:{s:4:"NAME";s:9:"Territory";s:5:"CHILD";a:1:{i:0;a:2:{s:4:"NAME";s:15:"RegionsIncluded";s:5:"CDATA";s:5:"WORLD";}}}}}}}i:12;a:2:{s:4:"NAME";s:15:"RelatedMaterial";s:5:"CHILD";a:1:{i:0;a:2:{s:4:"NAME";s:14:"RelatedProduct";s:5:"CHILD";a:3:{i:0;a:2:{s:4:"NAME";s:19:"ProductRelationCode";s:5:"CDATA";s:2:"13";}i:1;a:2:{s:4:"NAME";s:17:"ProductIdentifier";s:5:"CHILD";a:2:{i:0;a:2:{s:4:"NAME";s:13:"ProductIDType";s:5:"CDATA";s:2:"15";}i:1;a:2:{s:4:"NAME";s:7:"IDValue";s:5:"CDATA";s:13:"9783540530046";}}}i:2;a:2:{s:4:"NAME";s:11:"ProductForm";s:5:"CDATA";s:2:"BB";}}}}}i:13;a:2:{s:4:"NAME";s:13:"ProductSupply";s:5:"CHILD";a:1:{i:0;a:2:{s:4:"NAME";s:12:"SupplyDetail";s:5:"CHILD";a:13:{i:0;a:2:{s:4:"NAME";s:8:"Supplier";s:5:"CHILD";a:3:{i:0;a:2:{s:4:"NAME";s:12:"SupplierRole";s:5:"CDATA";s:2:"01";}i:1;a:2:{s:4:"NAME";s:18:"SupplierIdentifier";s:5:"CHILD";a:2:{i:0;a:2:{s:4:"NAME";s:14:"SupplierIDType";s:5:"CDATA";s:2:"05";}i:1;a:2:{s:4:"NAME";s:7:"IDValue";s:5:"CDATA";s:7:"5108985";}}}i:2;a:2:{s:4:"NAME";s:12:"SupplierName";s:5:"CDATA";s:15:"Springer Berlin";}}}i:1;a:2:{s:4:"NAME";s:19:"ProductAvailability";s:5:"CDATA";s:2:"20";}i:2;a:2:{s:4:"NAME";s:5:"Price";s:5:"CHILD";a:7:{i:0;a:2:{s:4:"NAME";s:9:"PriceType";s:5:"CDATA";s:2:"01";}i:1;a:2:{s:4:"NAME";s:20:"PriceTypeDescription";s:5:"CDATA";s:24:"Recommended Retail Price";}i:2;a:2:{s:4:"NAME";s:11:"PriceStatus";s:5:"CDATA";s:2:"02";}i:3;a:2:{s:4:"NAME";s:11:"PriceAmount";s:5:"CDATA";s:5:"89.99";}i:4;a:2:{s:4:"NAME";s:12:"CurrencyCode";s:5:"CDATA";s:3:"EUR";}i:5;a:2:{s:4:"NAME";s:9:"Territory";s:5:"CHILD";a:1:{i:0;a:2:{s:4:"NAME";s:15:"RegionsIncluded";s:5:"CDATA";s:3:"ROW";}}}i:6;a:2:{s:4:"NAME";s:9:"PriceDate";s:5:"CHILD";a:2:{i:0;a:2:{s:4:"NAME";s:13:"PriceDateRole";s:5:"CDATA";s:2:"14";}i:1;a:2:{s:4:"NAME";s:4:"Date";s:5:"CDATA";s:8:"20240101";}}}}}i:3;a:2:{s:4:"NAME";s:5:"Price";s:5:"CHILD";a:7:{i:0;a:2:{s:4:"NAME";s:9:"PriceType";s:5:"CDATA";s:2:"02";}i:1;a:2:{s:4:"NAME";s:20:"PriceTypeDescription";s:5:"CDATA";s:24:"Recommended Retail Price";}i:2;a:2:{s:4:"NAME";s:11:"PriceStatus";s:5:"CDATA";s:2:"02";}i:3;a:2:{s:4:"NAME";s:11:"PriceAmount";s:5:"CDATA";s:5:"99.00";}i:4;a:2:{s:4:"NAME";s:3:"Tax";s:5:"CHILD";a:3:{i:0;a:2:{s:4:"NAME";s:7:"TaxType";s:5:"CDATA";s:2:"01";}i:1;a:2:{s:4:"NAME";s:11:"TaxRateCode";s:5:"CDATA";s:1:"R";}i:2;a:2:{s:4:"NAME";s:14:"TaxRatePercent";s:5:"CDATA";s:2:"10";}}}i:5;a:2:{s:4:"NAME";s:12:"CurrencyCode";s:5:"CDATA";s:3:"EUR";}i:6;a:2:{s:4:"NAME";s:9:"Territory";s:5:"CHILD";a:1:{i:0;a:2:{s:4:"NAME";s:17:"CountriesIncluded";s:5:"CDATA";s:2:"AT";}}}}}i:4;a:2:{s:4:"NAME";s:5:"Price";s:5:"CHILD";a:7:{i:0;a:2:{s:4:"NAME";s:9:"PriceType";s:5:"CDATA";s:2:"01";}i:1;a:2:{s:4:"NAME";s:20:"PriceTypeDescription";s:5:"CDATA";s:24:"Recommended Retail Price";}i:2;a:2:{s:4:"NAME";s:11:"PriceStatus";s:5:"CDATA";s:2:"02";}i:3;a:2:{s:4:"NAME";s:11:"PriceAmount";s:5:"CDATA";s:6:"144.55";}i:4;a:2:{s:4:"NAME";s:12:"CurrencyCode";s:5:"CDATA";s:3:"AUD";}i:5;a:2:{s:4:"NAME";s:9:"Territory";s:5:"CHILD";a:1:{i:0;a:2:{s:4:"NAME";s:17:"CountriesIncluded";s:5:"CDATA";s:2:"AU";}}}i:6;a:2:{s:4:"NAME";s:9:"PriceDate";s:5:"CHILD";a:2:{i:0;a:2:{s:4:"NAME";s:13:"PriceDateRole";s:5:"CDATA";s:2:"14";}i:1;a:2:{s:4:"NAME";s:4:"Date";s:5:"CDATA";s:8:"20240101";}}}}}i:5;a:2:{s:4:"NAME";s:5:"Price";s:5:"CHILD";a:6:{i:0;a:2:{s:4:"NAME";s:9:"PriceType";s:5:"CDATA";s:2:"02";}i:1;a:2:{s:4:"NAME";s:20:"PriceTypeDescription";s:5:"CDATA";s:24:"Recommended Retail Price";}i:2;a:2:{s:4:"NAME";s:11:"PriceStatus";s:5:"CDATA";s:2:"02";}i:3;a:2:{s:4:"NAME";s:11:"PriceAmount";s:5:"CDATA";s:6:"159.00";}i:4;a:2:{s:4:"NAME";s:12:"CurrencyCode";s:5:"CDATA";s:3:"AUD";}i:5;a:2:{s:4:"NAME";s:9:"Territory";s:5:"CHILD";a:1:{i:0;a:2:{s:4:"NAME";s:17:"CountriesIncluded";s:5:"CDATA";s:2:"AU";}}}}}i:6;a:2:{s:4:"NAME";s:5:"Price";s:5:"CHILD";a:7:{i:0;a:2:{s:4:"NAME";s:9:"PriceType";s:5:"CDATA";s:2:"02";}i:1;a:2:{s:4:"NAME";s:20:"PriceTypeDescription";s:5:"CDATA";s:24:"Recommended Retail Price";}i:2;a:2:{s:4:"NAME";s:11:"PriceStatus";s:5:"CDATA";s:2:"02";}i:3;a:2:{s:4:"NAME";s:11:"PriceAmount";s:5:"CDATA";s:6:"118.00";}i:4;a:2:{s:4:"NAME";s:3:"Tax";s:5:"CHILD";a:3:{i:0;a:2:{s:4:"NAME";s:7:"TaxType";s:5:"CDATA";s:2:"01";}i:1;a:2:{s:4:"NAME";s:11:"TaxRateCode";s:5:"CDATA";s:1:"R";}i:2;a:2:{s:4:"NAME";s:14:"TaxRatePercent";s:5:"CDATA";s:3:"2.6";}}}i:5;a:2:{s:4:"NAME";s:12:"CurrencyCode";s:5:"CDATA";s:3:"CHF";}i:6;a:2:{s:4:"NAME";s:9:"Territory";s:5:"CHILD";a:1:{i:0;a:2:{s:4:"NAME";s:17:"CountriesIncluded";s:5:"CDATA";s:2:"CH";}}}}}i:7;a:2:{s:4:"NAME";s:5:"Price";s:5:"CHILD";a:7:{i:0;a:2:{s:4:"NAME";s:9:"PriceType";s:5:"CDATA";s:2:"02";}i:1;a:2:{s:4:"NAME";s:20:"PriceTypeDescription";s:5:"CDATA";s:24:"Recommended Retail Price";}i:2;a:2:{s:4:"NAME";s:11:"PriceStatus";s:5:"CDATA";s:2:"02";}i:3;a:2:{s:4:"NAME";s:11:"PriceAmount";s:5:"CDATA";s:5:"96.29";}i:4;a:2:{s:4:"NAME";s:3:"Tax";s:5:"CHILD";a:3:{i:0;a:2:{s:4:"NAME";s:7:"TaxType";s:5:"CDATA";s:2:"01";}i:1;a:2:{s:4:"NAME";s:11:"TaxRateCode";s:5:"CDATA";s:1:"R";}i:2;a:2:{s:4:"NAME";s:14:"TaxRatePercent";s:5:"CDATA";s:1:"7";}}}i:5;a:2:{s:4:"NAME";s:12:"CurrencyCode";s:5:"CDATA";s:3:"EUR";}i:6;a:2:{s:4:"NAME";s:9:"Territory";s:5:"CHILD";a:1:{i:0;a:2:{s:4:"NAME";s:17:"CountriesIncluded";s:5:"CDATA";s:2:"DE";}}}}}i:8;a:2:{s:4:"NAME";s:5:"Price";s:5:"CHILD";a:7:{i:0;a:2:{s:4:"NAME";s:9:"PriceType";s:5:"CDATA";s:2:"01";}i:1;a:2:{s:4:"NAME";s:20:"PriceTypeDescription";s:5:"CDATA";s:24:"Recommended Retail Price";}i:2;a:2:{s:4:"NAME";s:11:"PriceStatus";s:5:"CDATA";s:2:"02";}i:3;a:2:{s:4:"NAME";s:11:"PriceAmount";s:5:"CDATA";s:5:"89.50";}i:4;a:2:{s:4:"NAME";s:12:"CurrencyCode";s:5:"CDATA";s:3:"GBP";}i:5;a:2:{s:4:"NAME";s:9:"Territory";s:5:"CHILD";a:1:{i:0;a:2:{s:4:"NAME";s:17:"CountriesIncluded";s:5:"CDATA";s:2:"GB";}}}i:6;a:2:{s:4:"NAME";s:9:"PriceDate";s:5:"CHILD";a:2:{i:0;a:2:{s:4:"NAME";s:13:"PriceDateRole";s:5:"CDATA";s:2:"14";}i:1;a:2:{s:4:"NAME";s:4:"Date";s:5:"CDATA";s:8:"20240101";}}}}}i:9;a:2:{s:4:"NAME";s:5:"Price";s:5:"CHILD";a:6:{i:0;a:2:{s:4:"NAME";s:9:"PriceType";s:5:"CDATA";s:2:"02";}i:1;a:2:{s:4:"NAME";s:20:"PriceTypeDescription";s:5:"CDATA";s:24:"Recommended Retail Price";}i:2;a:2:{s:4:"NAME";s:11:"PriceStatus";s:5:"CDATA";s:2:"02";}i:3;a:2:{s:4:"NAME";s:11:"PriceAmount";s:5:"CDATA";s:5:"89.50";}i:4;a:2:{s:4:"NAME";s:12:"CurrencyCode";s:5:"CDATA";s:3:"GBP";}i:5;a:2:{s:4:"NAME";s:9:"Territory";s:5:"CHILD";a:1:{i:0;a:2:{s:4:"NAME";s:17:"CountriesIncluded";s:5:"CDATA";s:2:"GB";}}}}}i:10;a:2:{s:4:"NAME";s:5:"Price";s:5:"CHILD";a:7:{i:0;a:2:{s:4:"NAME";s:9:"PriceType";s:5:"CDATA";s:2:"01";}i:1;a:2:{s:4:"NAME";s:20:"PriceTypeDescription";s:5:"CDATA";s:24:"Recommended Retail Price";}i:2;a:2:{s:4:"NAME";s:11:"PriceStatus";s:5:"CDATA";s:2:"02";}i:3;a:2:{s:4:"NAME";s:11:"PriceAmount";s:5:"CDATA";s:7:"7120.00";}i:4;a:2:{s:4:"NAME";s:12:"CurrencyCode";s:5:"CDATA";s:3:"INR";}i:5;a:2:{s:4:"NAME";s:9:"Territory";s:5:"CHILD";a:1:{i:0;a:2:{s:4:"NAME";s:17:"CountriesIncluded";s:5:"CDATA";s:2:"IN";}}}i:6;a:2:{s:4:"NAME";s:9:"PriceDate";s:5:"CHILD";a:2:{i:0;a:2:{s:4:"NAME";s:13:"PriceDateRole";s:5:"CDATA";s:2:"14";}i:1;a:2:{s:4:"NAME";s:4:"Date";s:5:"CDATA";s:8:"20240101";}}}}}i:11;a:2:{s:4:"NAME";s:5:"Price";s:5:"CHILD";a:6:{i:0;a:2:{s:4:"NAME";s:9:"PriceType";s:5:"CDATA";s:2:"02";}i:1;a:2:{s:4:"NAME";s:20:"PriceTypeDescription";s:5:"CDATA";s:24:"Recommended Retail Price";}i:2;a:2:{s:4:"NAME";s:11:"PriceStatus";s:5:"CDATA";s:2:"02";}i:3;a:2:{s:4:"NAME";s:11:"PriceAmount";s:5:"CDATA";s:8:"14299.00";}i:4;a:2:{s:4:"NAME";s:12:"CurrencyCode";s:5:"CDATA";s:3:"JPY";}i:5;a:2:{s:4:"NAME";s:9:"Territory";s:5:"CHILD";a:1:{i:0;a:2:{s:4:"NAME";s:17:"CountriesIncluded";s:5:"CDATA";s:2:"JP";}}}}}i:12;a:2:{s:4:"NAME";s:5:"Price";s:5:"CHILD";a:6:{i:0;a:2:{s:4:"NAME";s:9:"PriceType";s:5:"CDATA";s:2:"01";}i:1;a:2:{s:4:"NAME";s:20:"PriceTypeDescription";s:5:"CDATA";s:24:"Recommended Retail Price";}i:2;a:2:{s:4:"NAME";s:11:"PriceStatus";s:5:"CDATA";s:2:"02";}i:3;a:2:{s:4:"NAME";s:11:"PriceAmount";s:5:"CDATA";s:5:"99.00";}i:4;a:2:{s:4:"NAME";s:12:"CurrencyCode";s:5:"CDATA";s:3:"USD";}i:5;a:2:{s:4:"NAME";s:9:"Territory";s:5:"CHILD";a:1:{i:0;a:2:{s:4:"NAME";s:17:"CountriesIncluded";s:5:"CDATA";s:2:"US";}}}}}}}}}}} 9783662041925 Sergei V. Ketov Theoretical and Mathematical Physics; Quantum Non-linear Sigma-Models From Quantum Field Theory to Supersymmetry, Conformal Field Theory, Black Holes and Strings Springer; Springer Berlin 420 2013-03-09 Berlin; Heidelberg; DE EA; E107; eBook; Nonbooks, PBS / Physik, Astronomie/Theoretische Physik; Mathematische Physik; Verstehen; Gauge theory; Non-linear; Quantum; Relativity; Sigma-Models; general relativity; B; Mathematical Methods in Physics; Elementary Particles, Quantum Field Theory; Physics and Astronomy; Teilchen- und Hochenergiephysik; BC eng 132.00 EUR The book is considered a systematic presentation of the modern quantum field theory of non-linear sigma-models. The content is based on original papers. Geometric properties and renormalization of a generic non-linear sigma-model are considered in detail, and illustrated by explicit multi-loop calculations in perturbation theory. Some non-perturbative results are derived for the conformally invariant non-linear sigma-models. Supersymmetric extensions are given for most constructions, with emphasis on their relation to complex geometry. Applications of non-linear sigma-models in conformal theory, gauge theory, string theory, and general relativity are given. The book addresses graduate students and researchers in physics and mathematics. a:3:{s:4:"NAME";s:7:"Product";s:5:"ATTRS";a:1:{s:9:"datestamp";s:8:"20240322";}s:5:"CHILD";a:14:{i:0;a:2:{s:4:"NAME";s:15:"RecordReference";s:5:"CDATA";s:32:"b479a58cf2874407958f8897a5ada7c7";}i:1;a:2:{s:4:"NAME";s:16:"NotificationType";s:5:"CDATA";s:2:"03";}i:2;a:2:{s:4:"NAME";s:17:"ProductIdentifier";s:5:"CHILD";a:3:{i:0;a:2:{s:4:"NAME";s:13:"ProductIDType";s:5:"CDATA";s:2:"01";}i:1;a:2:{s:4:"NAME";s:10:"IDTypeName";s:5:"CDATA";s:10:"VLB_ID_old";}i:2;a:2:{s:4:"NAME";s:7:"IDValue";s:5:"CDATA";s:7:"5036699";}}}i:3;a:2:{s:4:"NAME";s:17:"ProductIdentifier";s:5:"CHILD";a:3:{i:0;a:2:{s:4:"NAME";s:13:"ProductIDType";s:5:"CDATA";s:2:"01";}i:1;a:2:{s:4:"NAME";s:10:"IDTypeName";s:5:"CDATA";s:19:"Publishers Order No";}i:2;a:2:{s:4:"NAME";s:7:"IDValue";s:5:"CDATA";s:17:"978-3-662-04192-5";}}}i:4;a:2:{s:4:"NAME";s:17:"ProductIdentifier";s:5:"CHILD";a:3:{i:0;a:2:{s:4:"NAME";s:13:"ProductIDType";s:5:"CDATA";s:2:"01";}i:1;a:2:{s:4:"NAME";s:10:"IDTypeName";s:5:"CDATA";s:19:"Publishers Order No";}i:2;a:2:{s:4:"NAME";s:7:"IDValue";s:5:"CDATA";s:8:"86172519";}}}i:5;a:2:{s:4:"NAME";s:17:"ProductIdentifier";s:5:"CHILD";a:2:{i:0;a:2:{s:4:"NAME";s:13:"ProductIDType";s:5:"CDATA";s:2:"02";}i:1;a:2:{s:4:"NAME";s:7:"IDValue";s:5:"CDATA";s:10:"3662041928";}}}i:6;a:2:{s:4:"NAME";s:17:"ProductIdentifier";s:5:"CHILD";a:2:{i:0;a:2:{s:4:"NAME";s:13:"ProductIDType";s:5:"CDATA";s:2:"03";}i:1;a:2:{s:4:"NAME";s:7:"IDValue";s:5:"CDATA";s:13:"9783662041925";}}}i:7;a:2:{s:4:"NAME";s:17:"ProductIdentifier";s:5:"CHILD";a:2:{i:0;a:2:{s:4:"NAME";s:13:"ProductIDType";s:5:"CDATA";s:2:"06";}i:1;a:2:{s:4:"NAME";s:7:"IDValue";s:5:"CDATA";s:25:"10.1007/978-3-662-04192-5";}}}i:8;a:2:{s:4:"NAME";s:17:"ProductIdentifier";s:5:"CHILD";a:2:{i:0;a:2:{s:4:"NAME";s:13:"ProductIDType";s:5:"CDATA";s:2:"15";}i:1;a:2:{s:4:"NAME";s:7:"IDValue";s:5:"CDATA";s:13:"9783662041925";}}}i:9;a:2:{s:4:"NAME";s:17:"DescriptiveDetail";s:5:"CHILD";a:38:{i:0;a:2:{s:4:"NAME";s:18:"ProductComposition";s:5:"CDATA";s:2:"00";}i:1;a:2:{s:4:"NAME";s:11:"ProductForm";s:5:"CDATA";s:2:"EA";}i:2;a:2:{s:4:"NAME";s:17:"ProductFormDetail";s:5:"CDATA";s:4:"E107";}i:3;a:2:{s:4:"NAME";s:18:"ProductFormFeature";s:5:"CHILD";a:3:{i:0;a:2:{s:4:"NAME";s:22:"ProductFormFeatureType";s:5:"CDATA";s:2:"01";}i:1;a:2:{s:4:"NAME";s:23:"ProductFormFeatureValue";s:5:"CDATA";s:3:"BRN";}i:2;a:2:{s:4:"NAME";s:29:"ProductFormFeatureDescription";s:5:"CDATA";s:2:"1%";}}}i:4;a:2:{s:4:"NAME";s:18:"ProductFormFeature";s:5:"CHILD";a:3:{i:0;a:2:{s:4:"NAME";s:22:"ProductFormFeatureType";s:5:"CDATA";s:2:"01";}i:1;a:2:{s:4:"NAME";s:23:"ProductFormFeatureValue";s:5:"CDATA";s:3:"GRY";}i:2;a:2:{s:4:"NAME";s:29:"ProductFormFeatureDescription";s:5:"CDATA";s:3:"30%";}}}i:5;a:2:{s:4:"NAME";s:18:"ProductFormFeature";s:5:"CHILD";a:3:{i:0;a:2:{s:4:"NAME";s:22:"ProductFormFeatureType";s:5:"CDATA";s:2:"01";}i:1;a:2:{s:4:"NAME";s:23:"ProductFormFeatureValue";s:5:"CDATA";s:3:"ORG";}i:2;a:2:{s:4:"NAME";s:29:"ProductFormFeatureDescription";s:5:"CDATA";s:2:"1%";}}}i:6;a:2:{s:4:"NAME";s:18:"ProductFormFeature";s:5:"CHILD";a:3:{i:0;a:2:{s:4:"NAME";s:22:"ProductFormFeatureType";s:5:"CDATA";s:2:"01";}i:1;a:2:{s:4:"NAME";s:23:"ProductFormFeatureValue";s:5:"CDATA";s:3:"YEL";}i:2;a:2:{s:4:"NAME";s:29:"ProductFormFeatureDescription";s:5:"CDATA";s:3:"68%";}}}i:7;a:2:{s:4:"NAME";s:22:"ProductFormDescription";s:5:"CDATA";s:5:"eBook";}i:8;a:2:{s:4:"NAME";s:18:"PrimaryContentType";s:5:"CDATA";s:2:"10";}i:9;a:2:{s:4:"NAME";s:10:"Collection";s:5:"CHILD";a:3:{i:0;a:2:{s:4:"NAME";s:14:"CollectionType";s:5:"CDATA";s:2:"10";}i:1;a:2:{s:4:"NAME";s:20:"CollectionIdentifier";s:5:"CHILD";a:2:{i:0;a:2:{s:4:"NAME";s:16:"CollectionIDType";s:5:"CDATA";s:2:"04";}i:1;a:2:{s:4:"NAME";s:7:"IDValue";s:5:"CDATA";s:5:"RA528";}}}i:2;a:2:{s:4:"NAME";s:11:"TitleDetail";s:5:"CHILD";a:2:{i:0;a:2:{s:4:"NAME";s:9:"TitleType";s:5:"CDATA";s:2:"01";}i:1;a:2:{s:4:"NAME";s:12:"TitleElement";s:5:"CHILD";a:2:{i:0;a:2:{s:4:"NAME";s:17:"TitleElementLevel";s:5:"CDATA";s:2:"02";}i:1;a:2:{s:4:"NAME";s:9:"TitleText";s:5:"CDATA";s:36:"Theoretical and Mathematical Physics";}}}}}}}i:10;a:2:{s:4:"NAME";s:11:"TitleDetail";s:5:"CHILD";a:2:{i:0;a:2:{s:4:"NAME";s:9:"TitleType";s:5:"CDATA";s:2:"01";}i:1;a:2:{s:4:"NAME";s:12:"TitleElement";s:5:"CHILD";a:3:{i:0;a:2:{s:4:"NAME";s:17:"TitleElementLevel";s:5:"CDATA";s:2:"01";}i:1;a:2:{s:4:"NAME";s:9:"TitleText";s:5:"CDATA";s:31:"Quantum Non-linear Sigma-Models";}i:2;a:2:{s:4:"NAME";s:8:"Subtitle";s:5:"CDATA";s:91:"From Quantum Field Theory to Supersymmetry, Conformal Field Theory, Black Holes and Strings";}}}}}i:11;a:2:{s:4:"NAME";s:11:"Contributor";s:5:"CHILD";a:6:{i:0;a:2:{s:4:"NAME";s:14:"SequenceNumber";s:5:"CDATA";s:1:"1";}i:1;a:2:{s:4:"NAME";s:15:"ContributorRole";s:5:"CDATA";s:3:"A01";}i:2;a:2:{s:4:"NAME";s:10:"PersonName";s:5:"CDATA";s:15:"Sergei V. Ketov";}i:3;a:2:{s:4:"NAME";s:18:"PersonNameInverted";s:5:"CDATA";s:16:"Ketov, Sergei V.";}i:4;a:2:{s:4:"NAME";s:14:"NamesBeforeKey";s:5:"CDATA";s:9:"Sergei V.";}i:5;a:2:{s:4:"NAME";s:8:"KeyNames";s:5:"CDATA";s:5:"Ketov";}}}i:12;a:2:{s:4:"NAME";s:16:"EditionStatement";s:5:"CDATA";s:4:"2000";}i:13;a:2:{s:4:"NAME";s:8:"Language";s:5:"CHILD";a:2:{i:0;a:2:{s:4:"NAME";s:12:"LanguageRole";s:5:"CDATA";s:2:"01";}i:1;a:2:{s:4:"NAME";s:12:"LanguageCode";s:5:"CDATA";s:3:"eng";}}}i:14;a:2:{s:4:"NAME";s:6:"Extent";s:5:"CHILD";a:3:{i:0;a:2:{s:4:"NAME";s:10:"ExtentType";s:5:"CDATA";s:2:"00";}i:1;a:2:{s:4:"NAME";s:11:"ExtentValue";s:5:"CDATA";s:3:"420";}i:2;a:2:{s:4:"NAME";s:10:"ExtentUnit";s:5:"CDATA";s:2:"03";}}}i:15;a:2:{s:4:"NAME";s:6:"Extent";s:5:"CHILD";a:4:{i:0;a:2:{s:4:"NAME";s:10:"ExtentType";s:5:"CDATA";s:2:"03";}i:1;a:2:{s:4:"NAME";s:11:"ExtentValue";s:5:"CDATA";s:2:"12";}i:2;a:2:{s:4:"NAME";s:16:"ExtentValueRoman";s:5:"CDATA";s:3:"XII";}i:3;a:2:{s:4:"NAME";s:10:"ExtentUnit";s:5:"CDATA";s:2:"03";}}}i:16;a:2:{s:4:"NAME";s:17:"IllustrationsNote";s:5:"CDATA";s:11:"XII, 420 p.";}i:17;a:2:{s:4:"NAME";s:16:"AncillaryContent";s:5:"CHILD";a:2:{i:0;a:2:{s:4:"NAME";s:20:"AncillaryContentType";s:5:"CDATA";s:2:"26";}i:1;a:2:{s:4:"NAME";s:27:"AncillaryContentDescription";s:5:"CDATA";s:11:"XII, 420 p.";}}}i:18;a:2:{s:4:"NAME";s:7:"Subject";s:5:"CHILD";a:3:{i:0;a:1:{s:4:"NAME";s:11:"MainSubject";}i:1;a:2:{s:4:"NAME";s:23:"SubjectSchemeIdentifier";s:5:"CDATA";s:2:"10";}i:2;a:2:{s:4:"NAME";s:11:"SubjectCode";s:5:"CDATA";s:9:"SCI040000";}}}i:19;a:2:{s:4:"NAME";s:7:"Subject";s:5:"CHILD";a:3:{i:0;a:1:{s:4:"NAME";s:11:"MainSubject";}i:1;a:2:{s:4:"NAME";s:23:"SubjectSchemeIdentifier";s:5:"CDATA";s:2:"12";}i:2;a:2:{s:4:"NAME";s:11:"SubjectCode";s:5:"CDATA";s:3:"PHU";}}}i:20;a:2:{s:4:"NAME";s:7:"Subject";s:5:"CHILD";a:5:{i:0;a:1:{s:4:"NAME";s:11:"MainSubject";}i:1;a:2:{s:4:"NAME";s:23:"SubjectSchemeIdentifier";s:5:"CDATA";s:2:"26";}i:2;a:2:{s:4:"NAME";s:20:"SubjectSchemeVersion";s:5:"CDATA";s:3:"2.0";}i:3;a:2:{s:4:"NAME";s:11:"SubjectCode";s:5:"CDATA";s:4:"9646";}i:4;a:2:{s:4:"NAME";s:18:"SubjectHeadingText";s:5:"CDATA";s:54:"Nonbooks, PBS / Physik, Astronomie/Theoretische Physik";}}}i:21;a:3:{s:4:"NAME";s:7:"Subject";s:5:"ATTRS";a:1:{s:10:"sourcename";s:9:"Publisher";}s:5:"CHILD";a:5:{i:0;a:1:{s:4:"NAME";s:11:"MainSubject";}i:1;a:2:{s:4:"NAME";s:23:"SubjectSchemeIdentifier";s:5:"CDATA";s:2:"93";}i:2;a:2:{s:4:"NAME";s:20:"SubjectSchemeVersion";s:5:"CDATA";s:3:"1.5";}i:3;a:2:{s:4:"NAME";s:11:"SubjectCode";s:5:"CDATA";s:3:"PHU";}i:4;a:2:{s:4:"NAME";s:18:"SubjectHeadingText";s:5:"CDATA";s:20:"Mathematische Physik";}}}i:22;a:3:{s:4:"NAME";s:7:"Subject";s:5:"ATTRS";a:1:{s:10:"sourcename";s:3:"MVB";}s:5:"CHILD";a:4:{i:0;a:1:{s:4:"NAME";s:11:"MainSubject";}i:1;a:2:{s:4:"NAME";s:23:"SubjectSchemeIdentifier";s:5:"CDATA";s:2:"B8";}i:2;a:2:{s:4:"NAME";s:11:"SubjectCode";s:5:"CDATA";s:2:"10";}i:3;a:2:{s:4:"NAME";s:18:"SubjectHeadingText";s:5:"CDATA";s:9:"Verstehen";}}}i:23;a:2:{s:4:"NAME";s:7:"Subject";s:5:"CHILD";a:2:{i:0;a:2:{s:4:"NAME";s:23:"SubjectSchemeIdentifier";s:5:"CDATA";s:2:"10";}i:1;a:2:{s:4:"NAME";s:11:"SubjectCode";s:5:"CDATA";s:9:"SCI057000";}}}i:24;a:2:{s:4:"NAME";s:7:"Subject";s:5:"CHILD";a:2:{i:0;a:2:{s:4:"NAME";s:23:"SubjectSchemeIdentifier";s:5:"CDATA";s:2:"12";}i:1;a:2:{s:4:"NAME";s:11:"SubjectCode";s:5:"CDATA";s:3:"PHP";}}}i:25;a:3:{s:4:"NAME";s:7:"Subject";s:5:"ATTRS";a:1:{s:10:"sourcename";s:3:"DNB";}s:5:"CHILD";a:2:{i:0;a:2:{s:4:"NAME";s:23:"SubjectSchemeIdentifier";s:5:"CDATA";s:2:"18";}i:1;a:2:{s:4:"NAME";s:11:"SubjectCode";s:5:"CDATA";s:3:"530";}}}i:26;a:2:{s:4:"NAME";s:7:"Subject";s:5:"CHILD";a:2:{i:0;a:2:{s:4:"NAME";s:23:"SubjectSchemeIdentifier";s:5:"CDATA";s:2:"20";}i:1;a:2:{s:4:"NAME";s:18:"SubjectHeadingText";s:5:"CDATA";s:12:"Gauge theory";}}}i:27;a:2:{s:4:"NAME";s:7:"Subject";s:5:"CHILD";a:2:{i:0;a:2:{s:4:"NAME";s:23:"SubjectSchemeIdentifier";s:5:"CDATA";s:2:"20";}i:1;a:2:{s:4:"NAME";s:18:"SubjectHeadingText";s:5:"CDATA";s:10:"Non-linear";}}}i:28;a:2:{s:4:"NAME";s:7:"Subject";s:5:"CHILD";a:2:{i:0;a:2:{s:4:"NAME";s:23:"SubjectSchemeIdentifier";s:5:"CDATA";s:2:"20";}i:1;a:2:{s:4:"NAME";s:18:"SubjectHeadingText";s:5:"CDATA";s:7:"Quantum";}}}i:29;a:2:{s:4:"NAME";s:7:"Subject";s:5:"CHILD";a:2:{i:0;a:2:{s:4:"NAME";s:23:"SubjectSchemeIdentifier";s:5:"CDATA";s:2:"20";}i:1;a:2:{s:4:"NAME";s:18:"SubjectHeadingText";s:5:"CDATA";s:10:"Relativity";}}}i:30;a:2:{s:4:"NAME";s:7:"Subject";s:5:"CHILD";a:2:{i:0;a:2:{s:4:"NAME";s:23:"SubjectSchemeIdentifier";s:5:"CDATA";s:2:"20";}i:1;a:2:{s:4:"NAME";s:18:"SubjectHeadingText";s:5:"CDATA";s:12:"Sigma-Models";}}}i:31;a:2:{s:4:"NAME";s:7:"Subject";s:5:"CHILD";a:2:{i:0;a:2:{s:4:"NAME";s:23:"SubjectSchemeIdentifier";s:5:"CDATA";s:2:"20";}i:1;a:2:{s:4:"NAME";s:18:"SubjectHeadingText";s:5:"CDATA";s:18:"general relativity";}}}i:32;a:2:{s:4:"NAME";s:7:"Subject";s:5:"CHILD";a:3:{i:0;a:2:{s:4:"NAME";s:23:"SubjectSchemeIdentifier";s:5:"CDATA";s:2:"24";}i:1;a:2:{s:4:"NAME";s:17:"SubjectSchemeName";s:5:"CDATA";s:40:"Springer Nature Marketing Classification";}i:2;a:2:{s:4:"NAME";s:18:"SubjectHeadingText";s:5:"CDATA";s:1:"B";}}}i:33;a:2:{s:4:"NAME";s:7:"Subject";s:5:"CHILD";a:4:{i:0;a:2:{s:4:"NAME";s:23:"SubjectSchemeIdentifier";s:5:"CDATA";s:2:"24";}i:1;a:2:{s:4:"NAME";s:17:"SubjectSchemeName";s:5:"CDATA";s:24:"Springer Nature Taxonomy";}i:2;a:2:{s:4:"NAME";s:11:"SubjectCode";s:5:"CDATA";s:4:"5270";}i:3;a:2:{s:4:"NAME";s:18:"SubjectHeadingText";s:5:"CDATA";s:31:"Mathematical Methods in Physics";}}}i:34;a:2:{s:4:"NAME";s:7:"Subject";s:5:"CHILD";a:4:{i:0;a:2:{s:4:"NAME";s:23:"SubjectSchemeIdentifier";s:5:"CDATA";s:2:"24";}i:1;a:2:{s:4:"NAME";s:17:"SubjectSchemeName";s:5:"CDATA";s:24:"Springer Nature Taxonomy";}i:2;a:2:{s:4:"NAME";s:11:"SubjectCode";s:5:"CDATA";s:4:"3850";}i:3;a:2:{s:4:"NAME";s:18:"SubjectHeadingText";s:5:"CDATA";s:42:"Elementary Particles, Quantum Field Theory";}}}i:35;a:2:{s:4:"NAME";s:7:"Subject";s:5:"CHILD";a:4:{i:0;a:2:{s:4:"NAME";s:23:"SubjectSchemeIdentifier";s:5:"CDATA";s:2:"24";}i:1;a:2:{s:4:"NAME";s:17:"SubjectSchemeName";s:5:"CDATA";s:34:"Springer Nature Subject Collection";}i:2;a:2:{s:4:"NAME";s:11:"SubjectCode";s:5:"CDATA";s:9:"SUCO11651";}i:3;a:2:{s:4:"NAME";s:18:"SubjectHeadingText";s:5:"CDATA";s:21:"Physics and Astronomy";}}}i:36;a:3:{s:4:"NAME";s:7:"Subject";s:5:"ATTRS";a:1:{s:10:"sourcename";s:9:"Publisher";}s:5:"CHILD";a:4:{i:0;a:2:{s:4:"NAME";s:23:"SubjectSchemeIdentifier";s:5:"CDATA";s:2:"93";}i:1;a:2:{s:4:"NAME";s:20:"SubjectSchemeVersion";s:5:"CDATA";s:3:"1.5";}i:2;a:2:{s:4:"NAME";s:11:"SubjectCode";s:5:"CDATA";s:3:"PHP";}i:3;a:2:{s:4:"NAME";s:18:"SubjectHeadingText";s:5:"CDATA";s:31:"Teilchen- und Hochenergiephysik";}}}i:37;a:2:{s:4:"NAME";s:8:"Audience";s:5:"CHILD";a:3:{i:0;a:2:{s:4:"NAME";s:16:"AudienceCodeType";s:5:"CDATA";s:2:"02";}i:1;a:2:{s:4:"NAME";s:20:"AudienceCodeTypeName";s:5:"CDATA";s:29:"Springer Nature Content Level";}i:2;a:2:{s:4:"NAME";s:17:"AudienceCodeValue";s:5:"CDATA";s:8:"Research";}}}}}i:10;a:2:{s:4:"NAME";s:16:"CollateralDetail";s:5:"CHILD";a:5:{i:0;a:2:{s:4:"NAME";s:11:"TextContent";s:5:"CHILD";a:3:{i:0;a:2:{s:4:"NAME";s:8:"TextType";s:5:"CDATA";s:2:"04";}i:1;a:2:{s:4:"NAME";s:15:"ContentAudience";s:5:"CDATA";s:2:"00";}i:2;a:3:{s:4:"NAME";s:4:"Text";s:5:"ATTRS";a:1:{s:10:"textformat";s:2:"06";}s:5:"CDATA";s:325:"1 Introduction.- 2 Classical Structure and Renormalization.- 3 Supersymmetric NLSM.- 4 NLSM and Extended Superspace.- 5 NLSM and 2d Conformai Field Theory.- 6 NLSM and Strings.- 7 Chiral (1,0) NLSM and Heterotic Strings.- 8 LEEA in 4d, N = 2 Gauge Field Theories.- 9 Generalizations of NLSM.- References.- Text Abbreviations.";}}}i:1;a:2:{s:4:"NAME";s:11:"TextContent";s:5:"CHILD";a:3:{i:0;a:2:{s:4:"NAME";s:8:"TextType";s:5:"CDATA";s:2:"06";}i:1;a:2:{s:4:"NAME";s:15:"ContentAudience";s:5:"CDATA";s:2:"00";}i:2;a:3:{s:4:"NAME";s:4:"Text";s:5:"ATTRS";a:1:{s:10:"textformat";s:2:"05";}s:5:"CHILD";a:1:{i:0;a:2:{s:4:"NAME";s:1:"p";s:5:"CDATA";s:429:"This is a very useful book describing many aspects and applications of nonlinear sigma-models. [...] One of the useful features of the book is that several chapters and sections can essentially be read independently, making this a practical reference book. However, the introductory chapters should also make it accessible to anyone with a basic knowledge of quantum field theory and supersymmetry." (Mathematical Reviews 2002b)";}}}}}i:2;a:2:{s:4:"NAME";s:11:"TextContent";s:5:"CHILD";a:3:{i:0;a:2:{s:4:"NAME";s:8:"TextType";s:5:"CDATA";s:2:"05";}i:1;a:2:{s:4:"NAME";s:15:"ContentAudience";s:5:"CDATA";s:2:"00";}i:2;a:3:{s:4:"NAME";s:4:"Text";s:5:"ATTRS";a:1:{s:10:"textformat";s:2:"06";}s:5:"CDATA";s:746:"The book is considered a systematic presentation of the modern quantum field theory of non-linear sigma-models. The content is based on original papers. Geometric properties and renormalization of a generic non-linear sigma-model are considered in detail, and illustrated by explicit multi-loop calculations in perturbation theory. Some non-perturbative results are derived for the conformally invariant non-linear sigma-models. Supersymmetric extensions are given for most constructions, with emphasis on their relation to complex geometry. Applications of non-linear sigma-models in conformal theory, gauge theory, string theory, and general relativity are given. The book addresses graduate students and researchers in physics and mathematics.";}}}i:3;a:2:{s:4:"NAME";s:11:"TextContent";s:5:"CHILD";a:3:{i:0;a:2:{s:4:"NAME";s:8:"TextType";s:5:"CDATA";s:2:"11";}i:1;a:2:{s:4:"NAME";s:15:"ContentAudience";s:5:"CDATA";s:2:"00";}i:2;a:3:{s:4:"NAME";s:4:"Text";s:5:"ATTRS";a:1:{s:10:"textformat";s:2:"06";}s:5:"CDATA";s:122:"The first comprehensive presentation of the quantum non-linear sigma-models Includes supplementary material: sn.pub/extras";}}}i:4;a:2:{s:4:"NAME";s:18:"SupportingResource";s:5:"CHILD";a:4:{i:0;a:2:{s:4:"NAME";s:19:"ResourceContentType";s:5:"CDATA";s:2:"01";}i:1;a:2:{s:4:"NAME";s:15:"ContentAudience";s:5:"CDATA";s:2:"00";}i:2;a:2:{s:4:"NAME";s:12:"ResourceMode";s:5:"CDATA";s:2:"03";}i:3;a:2:{s:4:"NAME";s:15:"ResourceVersion";s:5:"CHILD";a:10:{i:0;a:2:{s:4:"NAME";s:12:"ResourceForm";s:5:"CDATA";s:2:"02";}i:1;a:2:{s:4:"NAME";s:22:"ResourceVersionFeature";s:5:"CHILD";a:2:{i:0;a:2:{s:4:"NAME";s:26:"ResourceVersionFeatureType";s:5:"CDATA";s:2:"01";}i:1;a:2:{s:4:"NAME";s:12:"FeatureValue";s:5:"CDATA";s:4:"D502";}}}i:2;a:2:{s:4:"NAME";s:22:"ResourceVersionFeature";s:5:"CHILD";a:2:{i:0;a:2:{s:4:"NAME";s:26:"ResourceVersionFeatureType";s:5:"CDATA";s:2:"02";}i:1;a:2:{s:4:"NAME";s:12:"FeatureValue";s:5:"CDATA";s:4:"1254";}}}i:3;a:2:{s:4:"NAME";s:22:"ResourceVersionFeature";s:5:"CHILD";a:2:{i:0;a:2:{s:4:"NAME";s:26:"ResourceVersionFeatureType";s:5:"CDATA";s:2:"03";}i:1;a:2:{s:4:"NAME";s:12:"FeatureValue";s:5:"CDATA";s:3:"827";}}}i:4;a:2:{s:4:"NAME";s:22:"ResourceVersionFeature";s:5:"CHILD";a:2:{i:0;a:2:{s:4:"NAME";s:26:"ResourceVersionFeatureType";s:5:"CDATA";s:2:"04";}i:1;a:2:{s:4:"NAME";s:12:"FeatureValue";s:5:"CDATA";s:17:"9783662041925.jpg";}}}i:5;a:2:{s:4:"NAME";s:22:"ResourceVersionFeature";s:5:"CHILD";a:2:{i:0;a:2:{s:4:"NAME";s:26:"ResourceVersionFeatureType";s:5:"CDATA";s:2:"06";}i:1;a:2:{s:4:"NAME";s:12:"FeatureValue";s:5:"CDATA";s:32:"a136f896307c4f198a189ebe8780e8f4";}}}i:6;a:2:{s:4:"NAME";s:22:"ResourceVersionFeature";s:5:"CHILD";a:2:{i:0;a:2:{s:4:"NAME";s:26:"ResourceVersionFeatureType";s:5:"CDATA";s:2:"07";}i:1;a:2:{s:4:"NAME";s:12:"FeatureValue";s:5:"CDATA";s:5:"67292";}}}i:7;a:2:{s:4:"NAME";s:22:"ResourceVersionFeature";s:5:"CHILD";a:2:{i:0;a:2:{s:4:"NAME";s:26:"ResourceVersionFeatureType";s:5:"CDATA";s:2:"08";}i:1;a:2:{s:4:"NAME";s:12:"FeatureValue";s:5:"CDATA";s:64:"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855";}}}i:8;a:2:{s:4:"NAME";s:12:"ResourceLink";s:5:"CDATA";s:47:"https://api.vlb.de/api/v1/cover/9783662041925/m";}i:9;a:2:{s:4:"NAME";s:11:"ContentDate";s:5:"CHILD";a:2:{i:0;a:2:{s:4:"NAME";s:15:"ContentDateRole";s:5:"CDATA";s:2:"17";}i:1;a:3:{s:4:"NAME";s:4:"Date";s:5:"ATTRS";a:1:{s:10:"dateformat";s:2:"00";}s:5:"CDATA";s:8:"20240113";}}}}}}}}}i:11;a:2:{s:4:"NAME";s:16:"PublishingDetail";s:5:"CHILD";a:8:{i:0;a:2:{s:4:"NAME";s:7:"Imprint";s:5:"CHILD";a:2:{i:0;a:2:{s:4:"NAME";s:17:"ImprintIdentifier";s:5:"CHILD";a:2:{i:0;a:2:{s:4:"NAME";s:13:"ImprintIDType";s:5:"CDATA";s:2:"01";}i:1;a:2:{s:4:"NAME";s:7:"IDValue";s:5:"CDATA";s:3:"SPR";}}}i:1;a:2:{s:4:"NAME";s:11:"ImprintName";s:5:"CDATA";s:8:"Springer";}}}i:1;a:2:{s:4:"NAME";s:9:"Publisher";s:5:"CHILD";a:3:{i:0;a:2:{s:4:"NAME";s:14:"PublishingRole";s:5:"CDATA";s:2:"01";}i:1;a:2:{s:4:"NAME";s:19:"PublisherIdentifier";s:5:"CHILD";a:2:{i:0;a:2:{s:4:"NAME";s:15:"PublisherIDType";s:5:"CDATA";s:2:"05";}i:1;a:2:{s:4:"NAME";s:7:"IDValue";s:5:"CDATA";s:7:"5108985";}}}i:2;a:2:{s:4:"NAME";s:13:"PublisherName";s:5:"CDATA";s:15:"Springer Berlin";}}}i:2;a:2:{s:4:"NAME";s:17:"CityOfPublication";s:5:"CDATA";s:6:"Berlin";}i:3;a:2:{s:4:"NAME";s:17:"CityOfPublication";s:5:"CDATA";s:10:"Heidelberg";}i:4;a:2:{s:4:"NAME";s:20:"CountryOfPublication";s:5:"CDATA";s:2:"DE";}i:5;a:2:{s:4:"NAME";s:16:"PublishingStatus";s:5:"CDATA";s:2:"04";}i:6;a:2:{s:4:"NAME";s:14:"PublishingDate";s:5:"CHILD";a:2:{i:0;a:2:{s:4:"NAME";s:18:"PublishingDateRole";s:5:"CDATA";s:2:"01";}i:1;a:3:{s:4:"NAME";s:4:"Date";s:5:"ATTRS";a:1:{s:10:"dateformat";s:2:"00";}s:5:"CDATA";s:8:"20130309";}}}i:7;a:2:{s:4:"NAME";s:11:"SalesRights";s:5:"CHILD";a:2:{i:0;a:2:{s:4:"NAME";s:15:"SalesRightsType";s:5:"CDATA";s:2:"01";}i:1;a:2:{s:4:"NAME";s:9:"Territory";s:5:"CHILD";a:1:{i:0;a:2:{s:4:"NAME";s:15:"RegionsIncluded";s:5:"CDATA";s:5:"WORLD";}}}}}}}i:12;a:2:{s:4:"NAME";s:15:"RelatedMaterial";s:5:"CHILD";a:1:{i:0;a:2:{s:4:"NAME";s:14:"RelatedProduct";s:5:"CHILD";a:3:{i:0;a:2:{s:4:"NAME";s:19:"ProductRelationCode";s:5:"CDATA";s:2:"13";}i:1;a:2:{s:4:"NAME";s:17:"ProductIdentifier";s:5:"CHILD";a:2:{i:0;a:2:{s:4:"NAME";s:13:"ProductIDType";s:5:"CDATA";s:2:"15";}i:1;a:2:{s:4:"NAME";s:7:"IDValue";s:5:"CDATA";s:13:"9783642086885";}}}i:2;a:2:{s:4:"NAME";s:11:"ProductForm";s:5:"CDATA";s:2:"BC";}}}}}i:13;a:2:{s:4:"NAME";s:13:"ProductSupply";s:5:"CHILD";a:1:{i:0;a:2:{s:4:"NAME";s:12:"SupplyDetail";s:5:"CHILD";a:13:{i:0;a:2:{s:4:"NAME";s:8:"Supplier";s:5:"CHILD";a:3:{i:0;a:2:{s:4:"NAME";s:12:"SupplierRole";s:5:"CDATA";s:2:"01";}i:1;a:2:{s:4:"NAME";s:18:"SupplierIdentifier";s:5:"CHILD";a:2:{i:0;a:2:{s:4:"NAME";s:14:"SupplierIDType";s:5:"CDATA";s:2:"05";}i:1;a:2:{s:4:"NAME";s:7:"IDValue";s:5:"CDATA";s:7:"5108985";}}}i:2;a:2:{s:4:"NAME";s:12:"SupplierName";s:5:"CDATA";s:15:"Springer Berlin";}}}i:1;a:2:{s:4:"NAME";s:19:"ProductAvailability";s:5:"CDATA";s:2:"20";}i:2;a:2:{s:4:"NAME";s:5:"Price";s:5:"CHILD";a:7:{i:0;a:2:{s:4:"NAME";s:9:"PriceType";s:5:"CDATA";s:2:"01";}i:1;a:2:{s:4:"NAME";s:20:"PriceTypeDescription";s:5:"CDATA";s:24:"Recommended Retail Price";}i:2;a:2:{s:4:"NAME";s:11:"PriceStatus";s:5:"CDATA";s:2:"02";}i:3;a:2:{s:4:"NAME";s:11:"PriceAmount";s:5:"CDATA";s:6:"119.99";}i:4;a:2:{s:4:"NAME";s:12:"CurrencyCode";s:5:"CDATA";s:3:"EUR";}i:5;a:2:{s:4:"NAME";s:9:"Territory";s:5:"CHILD";a:1:{i:0;a:2:{s:4:"NAME";s:15:"RegionsIncluded";s:5:"CDATA";s:3:"ROW";}}}i:6;a:2:{s:4:"NAME";s:9:"PriceDate";s:5:"CHILD";a:2:{i:0;a:2:{s:4:"NAME";s:13:"PriceDateRole";s:5:"CDATA";s:2:"14";}i:1;a:2:{s:4:"NAME";s:4:"Date";s:5:"CDATA";s:8:"20240101";}}}}}i:3;a:2:{s:4:"NAME";s:5:"Price";s:5:"CHILD";a:7:{i:0;a:2:{s:4:"NAME";s:9:"PriceType";s:5:"CDATA";s:2:"02";}i:1;a:2:{s:4:"NAME";s:20:"PriceTypeDescription";s:5:"CDATA";s:24:"Recommended Retail Price";}i:2;a:2:{s:4:"NAME";s:11:"PriceStatus";s:5:"CDATA";s:2:"02";}i:3;a:2:{s:4:"NAME";s:11:"PriceAmount";s:5:"CDATA";s:6:"132.00";}i:4;a:2:{s:4:"NAME";s:3:"Tax";s:5:"CHILD";a:3:{i:0;a:2:{s:4:"NAME";s:7:"TaxType";s:5:"CDATA";s:2:"01";}i:1;a:2:{s:4:"NAME";s:11:"TaxRateCode";s:5:"CDATA";s:1:"R";}i:2;a:2:{s:4:"NAME";s:14:"TaxRatePercent";s:5:"CDATA";s:2:"10";}}}i:5;a:2:{s:4:"NAME";s:12:"CurrencyCode";s:5:"CDATA";s:3:"EUR";}i:6;a:2:{s:4:"NAME";s:9:"Territory";s:5:"CHILD";a:1:{i:0;a:2:{s:4:"NAME";s:17:"CountriesIncluded";s:5:"CDATA";s:2:"AT";}}}}}i:4;a:2:{s:4:"NAME";s:5:"Price";s:5:"CHILD";a:7:{i:0;a:2:{s:4:"NAME";s:9:"PriceType";s:5:"CDATA";s:2:"01";}i:1;a:2:{s:4:"NAME";s:20:"PriceTypeDescription";s:5:"CDATA";s:24:"Recommended Retail Price";}i:2;a:2:{s:4:"NAME";s:11:"PriceStatus";s:5:"CDATA";s:2:"02";}i:3;a:2:{s:4:"NAME";s:11:"PriceAmount";s:5:"CDATA";s:6:"190.00";}i:4;a:2:{s:4:"NAME";s:12:"CurrencyCode";s:5:"CDATA";s:3:"AUD";}i:5;a:2:{s:4:"NAME";s:9:"Territory";s:5:"CHILD";a:1:{i:0;a:2:{s:4:"NAME";s:17:"CountriesIncluded";s:5:"CDATA";s:2:"AU";}}}i:6;a:2:{s:4:"NAME";s:9:"PriceDate";s:5:"CHILD";a:2:{i:0;a:2:{s:4:"NAME";s:13:"PriceDateRole";s:5:"CDATA";s:2:"14";}i:1;a:2:{s:4:"NAME";s:4:"Date";s:5:"CDATA";s:8:"20240101";}}}}}i:5;a:2:{s:4:"NAME";s:5:"Price";s:5:"CHILD";a:6:{i:0;a:2:{s:4:"NAME";s:9:"PriceType";s:5:"CDATA";s:2:"02";}i:1;a:2:{s:4:"NAME";s:20:"PriceTypeDescription";s:5:"CDATA";s:24:"Recommended Retail Price";}i:2;a:2:{s:4:"NAME";s:11:"PriceStatus";s:5:"CDATA";s:2:"02";}i:3;a:2:{s:4:"NAME";s:11:"PriceAmount";s:5:"CDATA";s:6:"209.00";}i:4;a:2:{s:4:"NAME";s:12:"CurrencyCode";s:5:"CDATA";s:3:"AUD";}i:5;a:2:{s:4:"NAME";s:9:"Territory";s:5:"CHILD";a:1:{i:0;a:2:{s:4:"NAME";s:17:"CountriesIncluded";s:5:"CDATA";s:2:"AU";}}}}}i:6;a:2:{s:4:"NAME";s:5:"Price";s:5:"CHILD";a:7:{i:0;a:2:{s:4:"NAME";s:9:"PriceType";s:5:"CDATA";s:2:"02";}i:1;a:2:{s:4:"NAME";s:20:"PriceTypeDescription";s:5:"CDATA";s:24:"Recommended Retail Price";}i:2;a:2:{s:4:"NAME";s:11:"PriceStatus";s:5:"CDATA";s:2:"02";}i:3;a:2:{s:4:"NAME";s:11:"PriceAmount";s:5:"CDATA";s:6:"153.50";}i:4;a:2:{s:4:"NAME";s:3:"Tax";s:5:"CHILD";a:3:{i:0;a:2:{s:4:"NAME";s:7:"TaxType";s:5:"CDATA";s:2:"01";}i:1;a:2:{s:4:"NAME";s:11:"TaxRateCode";s:5:"CDATA";s:1:"R";}i:2;a:2:{s:4:"NAME";s:14:"TaxRatePercent";s:5:"CDATA";s:3:"2.6";}}}i:5;a:2:{s:4:"NAME";s:12:"CurrencyCode";s:5:"CDATA";s:3:"CHF";}i:6;a:2:{s:4:"NAME";s:9:"Territory";s:5:"CHILD";a:1:{i:0;a:2:{s:4:"NAME";s:17:"CountriesIncluded";s:5:"CDATA";s:2:"CH";}}}}}i:7;a:2:{s:4:"NAME";s:5:"Price";s:5:"CHILD";a:7:{i:0;a:2:{s:4:"NAME";s:9:"PriceType";s:5:"CDATA";s:2:"02";}i:1;a:2:{s:4:"NAME";s:20:"PriceTypeDescription";s:5:"CDATA";s:24:"Recommended Retail Price";}i:2;a:2:{s:4:"NAME";s:11:"PriceStatus";s:5:"CDATA";s:2:"02";}i:3;a:2:{s:4:"NAME";s:11:"PriceAmount";s:5:"CDATA";s:6:"128.39";}i:4;a:2:{s:4:"NAME";s:3:"Tax";s:5:"CHILD";a:3:{i:0;a:2:{s:4:"NAME";s:7:"TaxType";s:5:"CDATA";s:2:"01";}i:1;a:2:{s:4:"NAME";s:11:"TaxRateCode";s:5:"CDATA";s:1:"R";}i:2;a:2:{s:4:"NAME";s:14:"TaxRatePercent";s:5:"CDATA";s:1:"7";}}}i:5;a:2:{s:4:"NAME";s:12:"CurrencyCode";s:5:"CDATA";s:3:"EUR";}i:6;a:2:{s:4:"NAME";s:9:"Territory";s:5:"CHILD";a:1:{i:0;a:2:{s:4:"NAME";s:17:"CountriesIncluded";s:5:"CDATA";s:2:"DE";}}}}}i:8;a:2:{s:4:"NAME";s:5:"Price";s:5:"CHILD";a:7:{i:0;a:2:{s:4:"NAME";s:9:"PriceType";s:5:"CDATA";s:2:"01";}i:1;a:2:{s:4:"NAME";s:20:"PriceTypeDescription";s:5:"CDATA";s:24:"Recommended Retail Price";}i:2;a:2:{s:4:"NAME";s:11:"PriceStatus";s:5:"CDATA";s:2:"02";}i:3;a:2:{s:4:"NAME";s:11:"PriceAmount";s:5:"CDATA";s:6:"109.50";}i:4;a:2:{s:4:"NAME";s:12:"CurrencyCode";s:5:"CDATA";s:3:"GBP";}i:5;a:2:{s:4:"NAME";s:9:"Territory";s:5:"CHILD";a:1:{i:0;a:2:{s:4:"NAME";s:17:"CountriesIncluded";s:5:"CDATA";s:2:"GB";}}}i:6;a:2:{s:4:"NAME";s:9:"PriceDate";s:5:"CHILD";a:2:{i:0;a:2:{s:4:"NAME";s:13:"PriceDateRole";s:5:"CDATA";s:2:"14";}i:1;a:2:{s:4:"NAME";s:4:"Date";s:5:"CDATA";s:8:"20240101";}}}}}i:9;a:2:{s:4:"NAME";s:5:"Price";s:5:"CHILD";a:6:{i:0;a:2:{s:4:"NAME";s:9:"PriceType";s:5:"CDATA";s:2:"02";}i:1;a:2:{s:4:"NAME";s:20:"PriceTypeDescription";s:5:"CDATA";s:24:"Recommended Retail Price";}i:2;a:2:{s:4:"NAME";s:11:"PriceStatus";s:5:"CDATA";s:2:"02";}i:3;a:2:{s:4:"NAME";s:11:"PriceAmount";s:5:"CDATA";s:6:"109.50";}i:4;a:2:{s:4:"NAME";s:12:"CurrencyCode";s:5:"CDATA";s:3:"GBP";}i:5;a:2:{s:4:"NAME";s:9:"Territory";s:5:"CHILD";a:1:{i:0;a:2:{s:4:"NAME";s:17:"CountriesIncluded";s:5:"CDATA";s:2:"GB";}}}}}i:10;a:2:{s:4:"NAME";s:5:"Price";s:5:"CHILD";a:7:{i:0;a:2:{s:4:"NAME";s:9:"PriceType";s:5:"CDATA";s:2:"01";}i:1;a:2:{s:4:"NAME";s:20:"PriceTypeDescription";s:5:"CDATA";s:24:"Recommended Retail Price";}i:2;a:2:{s:4:"NAME";s:11:"PriceStatus";s:5:"CDATA";s:2:"02";}i:3;a:2:{s:4:"NAME";s:11:"PriceAmount";s:5:"CDATA";s:7:"9260.00";}i:4;a:2:{s:4:"NAME";s:12:"CurrencyCode";s:5:"CDATA";s:3:"INR";}i:5;a:2:{s:4:"NAME";s:9:"Territory";s:5:"CHILD";a:1:{i:0;a:2:{s:4:"NAME";s:17:"CountriesIncluded";s:5:"CDATA";s:2:"IN";}}}i:6;a:2:{s:4:"NAME";s:9:"PriceDate";s:5:"CHILD";a:2:{i:0;a:2:{s:4:"NAME";s:13:"PriceDateRole";s:5:"CDATA";s:2:"14";}i:1;a:2:{s:4:"NAME";s:4:"Date";s:5:"CDATA";s:8:"20240101";}}}}}i:11;a:2:{s:4:"NAME";s:5:"Price";s:5:"CHILD";a:6:{i:0;a:2:{s:4:"NAME";s:9:"PriceType";s:5:"CDATA";s:2:"02";}i:1;a:2:{s:4:"NAME";s:20:"PriceTypeDescription";s:5:"CDATA";s:24:"Recommended Retail Price";}i:2;a:2:{s:4:"NAME";s:11:"PriceStatus";s:5:"CDATA";s:2:"02";}i:3;a:2:{s:4:"NAME";s:11:"PriceAmount";s:5:"CDATA";s:8:"18589.00";}i:4;a:2:{s:4:"NAME";s:12:"CurrencyCode";s:5:"CDATA";s:3:"JPY";}i:5;a:2:{s:4:"NAME";s:9:"Territory";s:5:"CHILD";a:1:{i:0;a:2:{s:4:"NAME";s:17:"CountriesIncluded";s:5:"CDATA";s:2:"JP";}}}}}i:12;a:2:{s:4:"NAME";s:5:"Price";s:5:"CHILD";a:6:{i:0;a:2:{s:4:"NAME";s:9:"PriceType";s:5:"CDATA";s:2:"01";}i:1;a:2:{s:4:"NAME";s:20:"PriceTypeDescription";s:5:"CDATA";s:24:"Recommended Retail Price";}i:2;a:2:{s:4:"NAME";s:11:"PriceStatus";s:5:"CDATA";s:2:"02";}i:3;a:2:{s:4:"NAME";s:11:"PriceAmount";s:5:"CDATA";s:6:"129.00";}i:4;a:2:{s:4:"NAME";s:12:"CurrencyCode";s:5:"CDATA";s:3:"USD";}i:5;a:2:{s:4:"NAME";s:9:"Territory";s:5:"CHILD";a:1:{i:0;a:2:{s:4:"NAME";s:17:"CountriesIncluded";s:5:"CDATA";s:2:"US";}}}}}}}}}}} 9789401704830 S. Ahzi Solid Mechanics and Its Applications; IUTAM Symposium on Multiscale Modeling and Characterization of Elastic-Inelastic Behavior of Engineering Materials Proceedings of the IUTAM Symposium held in Marrakech, Morocco, 20–25 October 2002 Springer; Springer Netherland 434 2013-04-17 Dordrecht; NL EA; E107; eBook; Nonbooks, PBS / Technik/Maschinenbau, Fertigungstechnik; Maschinenbau; Verstehen; Dissipation; alloy; crystal; elasticity; fatigue; modeling; polymer; C; Engineering Mechanics; Characterization and Analytical Technique; Classical Mechanics; Engineering; Werkstoffprüfung; Klassische Mechanik; BC eng 154.00 EUR New developments in the brittle to ductile transitions of fracture in intrinsically brittle crystals and polycrystals.- Dislocation-based length-scales in crystal plasticity: experiments and modeling.- Application of a variational self-consistent procedure to the prediction of deformation textures in polycrystals.- What about the yield transformation surface determination (austenite ? martensite) with the measurement of austenite and martensite lattice parameters for some shape memory alloys?.- Micro to macroscopic deformation behavior of amorphous polymer with slightly heterogeneous distribution of molecular chains.- Cross slip viewed at the nano — and micrometer scale.- A multiscale micromechanics approach to describe environmental effects on surface crack initiation under cyclic loading.- Atomic — scale modeling of dislocation behaviour under stress.- Coalescence and evolution of nanoscale islands during polycrystalline thin film growth.- On pic band propagation velocity under stress controlled tests in aluminium alloys.- Effect of some parameters on the elastoplastic behavior of green sand.- Experimental investigations of size effects in thin copper foils.- Plastic response of thin films due to thermal cycling.- Measurement of the stress intensity factor, kl, for copper by a digital image correlation method.- Homogeneization of viscoplastic materials.- Collective dislocation behavior in single crystalline aluminum under indentation.- Multiscale modeling of texture gradient effects on localization in fee polycrystals.- Multiaxial plastic fatigue behavior with multiscale modeling.- Damage, opening and sliding of grain boundaries.- Gradients of hardening in nonlocal dislocation based plasticity.- Determination of the material intrinsic length scale of gradientplasticity theory.- Computer simulation of contact force distribution in random granular packings.- Three — dimensional structures of the geometrically necessary dislocations generated from non — uniformities in metal microstructures.- Simulation of texture evolution in equal channel angular extrusion of copper using a new flow field.- Initial energy dissipation mechanism at crack tip on the ductile to brittle transition.- Constitutive modeling of viscoelastic unloading of glassy polymers.- On the constitutive theories of power — law materials containing voids.- Objective quantification of the ductility within the coupling elasticity — damage behavior: formulation.- Discrete dislocation predictions for single crystal hardening tension vs bending.- On plasticity and damage evolution during sheet metal forming.- Modeling of thermo-electro-elastic effective behaviors of piezoelectric composite mediums and analysis of reinforcement orientation effects.- Investigations in size dependent torsions and fractures.- Influence of microstructural parameters on shape memory alloys behavior.- Investigation of ridging in ferritic stainless steel using crystal plasticity finite element method.- Grain boundary effects and failure evolution in polycrystalline materials.- The influence of an heterogeneous dispersion on the failure behaviour of metal-matrix composites: micromechanical approach.- A cohesive segments approach for dynamic crack growth.- A linear model of processing path in cubic-orthotropic system.- Taylor theory with microscopic slip transfer conditions.- Dynamics of nanostructure formation during thin film deposition.- Prediction of damage in randomly oriented short-fibre composites by means of a mechanistic approach.- Nonsteady plain — strain ideal plastic flowconsidering elastic dead zone.- Multiscale modeling of non — linear behaviour of heterogeneous materials: comparison of recent homogénéisation methods.- Thermomechanical behaviour of shape memory alloy taylor’s model.- Multiscale analysis of dynamic deformation in monocrystals.- Micro/meso-modeling of polymeric composites with damage evolution.- An alternative approach for heterogeneous material behaviour modeling.- On anisotropic formulations of the elastic law within multiplicative inelasticity.- Deep drawing process of the aisi 304 stainless steel cup: interaction between design tools and kinetic of plastic strain induced martensite.- Modeling and simulation of dynamic plasticity and failure in ductile metals.- Effects of polymeric additives on the morphology and the structure of the calcium carbonate material. a:3:{s:4:"NAME";s:7:"Product";s:5:"ATTRS";a:1:{s:9:"datestamp";s:8:"20240322";}s:5:"CHILD";a:14:{i:0;a:2:{s:4:"NAME";s:15:"RecordReference";s:5:"CDATA";s:32:"b479e1a761954fec829c11d3906495e1";}i:1;a:2:{s:4:"NAME";s:16:"NotificationType";s:5:"CDATA";s:2:"03";}i:2;a:2:{s:4:"NAME";s:17:"ProductIdentifier";s:5:"CHILD";a:3:{i:0;a:2:{s:4:"NAME";s:13:"ProductIDType";s:5:"CDATA";s:2:"01";}i:1;a:2:{s:4:"NAME";s:10:"IDTypeName";s:5:"CDATA";s:10:"VLB_ID_old";}i:2;a:2:{s:4:"NAME";s:7:"IDValue";s:5:"CDATA";s:7:"4976155";}}}i:3;a:2:{s:4:"NAME";s:17:"ProductIdentifier";s:5:"CHILD";a:3:{i:0;a:2:{s:4:"NAME";s:13:"ProductIDType";s:5:"CDATA";s:2:"01";}i:1;a:2:{s:4:"NAME";s:10:"IDTypeName";s:5:"CDATA";s:19:"Publishers Order No";}i:2;a:2:{s:4:"NAME";s:7:"IDValue";s:5:"CDATA";s:17:"978-94-017-0483-0";}}}i:4;a:2:{s:4:"NAME";s:17:"ProductIdentifier";s:5:"CHILD";a:3:{i:0;a:2:{s:4:"NAME";s:13:"ProductIDType";s:5:"C