Topology for Physicists Albert S. Schwarz Author - neues Buch

EAN (ISBN-13): 9783540547549
ISBN (ISBN-10): 3540547541
Gebundene Ausgabe
Taschenbuch
Erscheinungsjahr: 1994
Herausgeber: Springer Berlin Heidelberg Core >2 >T

Buch in der Datenbank seit 2007-06-12T16:58:56+02:00 (Berlin)
Detailseite zuletzt geändert am 2024-03-03T15:58:32+01:00 (Berlin)
ISBN/EAN: 9783540547549

ISBN - alternative Schreibweisen:
3-540-54754-1, 978-3-540-54754-9
Alternative Schreibweisen und verwandte Suchbegriffe:
Autor des Buches: arz albert, schwarz, albert levy, shvarts
Titel des Buches: 308, topology, grundlehren der mathematischen wissenschaften, physicists physicists, mathematisch, comprehensive

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Daten vom Verlag:

Autor/in: Albert S. Schwarz
Titel: Grundlehren der mathematischen Wissenschaften; Topology for Physicists
Verlag: Springer; Springer Berlin
296 Seiten
Erscheinungsjahr: 1994-08-18
Berlin; Heidelberg; DE
Sprache: Englisch
175,99 € (DE)

BB; Hardcover, Softcover / Mathematik/Geometrie; Topologie; Verstehen; Cohomology; Fundamental group; Gauge theory; Homotopy; Homotopy group; condensed matter; fibrations; homology; homotopy theory; instantons; manifold; quantum field theory; topology; Manifolds and Cell Complexes; Spintronics; Quantum Physics; Materialwissenschaft; Physik der kondensierten Materie (Flüssigkeits- und Festkörperphysik); Quantenphysik (Quantenmechanik und Quantenfeldtheorie); BC

This volume, written by someone who has made many significant contributions to mathematical physics, not least to the present dialogue between mathematicians and physicists, aims to present some of the basic material in algebraic topology at the level of a fairly sophisticated theoretical physics graduate student. The most important topics, covering spaces, homotopy and homology theory, degree theory fibrations and a little about Lie groups are treated at a brisk pace and informal level. Personally I found the style congenial.(...) extremely useful as background or supplementary material for a graduate course on geometry and physics and would also be useful to those contemplating giving such a course. (...)" Contemporary Physics, A. 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Topology has profound relevance to quantum field theory-for example, topological nontrivial solutions of the classical equa tions of motion (solitons and instantons) allow the physicist to leave the frame work of perturbation theory. The significance of topology has increased even further with the development of string theory, which uses very sharp topologi cal methods-both in the study of strings, and in the pursuit of the transition to four-dimensional field theories by means of spontaneous compactification. Im portant applications of topology also occur in other areas of physics: the study of defects in condensed media, of singularities in the excitation spectrum of crystals, of the quantum Hall effect, and so on. Nowadays, a working knowledge of the basic concepts of topology is essential to quantum field theorists; there is no doubt that tomorrow this will also be true for specialists in many other areas of theoretical physics. The amount of topological information used in the physics literature is very large. Most common is homotopy theory. But other subjects also play an important role: homology theory, fibration theory (and characteristic classes in particular), and also branches of mathematics that are not directly a part of topology, but which use topological methods in an essential way: for example, the theory of indices of elliptic operators and the theory of complex manifolds.";}}}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:"03";}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:503:"0 Background.- 1 Fundamental Concepts.- 2 The Degree of a Map.- 3 The Fundamental Group and Covering Spaces.- 4 Manifolds.- 5 Differential Forms and Homology in Euclidean Space.- 6 Homology and Cohomology.- 7 Homotopy Classification of Maps of the Sphere.- 8 Homotopy Groups.- 9 Fibered Spaces.- 10 Fibrations and Homotopy Groups.- 11 Homotopy Theory of Fibrations.- 12 Lie Groups.- 13 Lie Algebras.- 14 Topology of Lie Groups and Homogeneous Manifolds.- 15 Geometry of Gauge Fields.- Index of Notation.";}}}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:"03";}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:758:"This volume, written by someone who has made many significant contributions to mathematical physics, not least to the present dialogue between mathematicians and physicists, aims to present some of the basic material in algebraic topology at the level of a fairly sophisticated theoretical physics graduate student. 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