Classical Geometries in Modern Contexts : Geometry of Real Inner Product Spaces Third Edition - gebunden oder broschiert
2012, ISBN: 3034804199
[EAN: 9783034804196], Neubuch, [SC: 0.0], [PU: Springer Basel], GEOMETRIE; RAUMLEHRE; INNERPRODUCTSPACE; LORENTZTRANSFORMATION; CLASSICALGEOMETRY; HYPERBOLICGEOMETRY; SPHEREGEOMETRY, Druc… Mehr…
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2014, ISBN: 9783034804196
[ED: Buch], [PU: Springer Basel], Neuware - The focus of this book and its geometric notions is on real vector spaces X that are finite or infinite inner product spaces of arbitrary dimen… Mehr…
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ISBN: 9783034804196
The focus of this book and its geometric notions is on real vector spaces X that are finite or infinite inner product spaces of arbitrary dimension greater than or equal to 2. It characte… Mehr…
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Classical Geometries in Modern Contexts: Geometry of Real Inner Product Spaces Third Edition - gebunden oder broschiert
2012, ISBN: 9783034804196
Birkhäuser, Gebundene Ausgabe, Auflage: 3rd ed. 2012, 328 Seiten, Publiziert: 2012-08-14T00:00:01Z, Produktgruppe: Buch, Hersteller-Nr.: biography, 1.45 kg, Verkaufsrang: 4859, Geometrie,… Mehr…
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Classical Geometries in Modern Contexts: Geometry of Real Inner Product Spaces Third Edition - gebunden oder broschiert
2012, ISBN: 9783034804196
Springer Verlag, 2012. Hardcover. New. 3rd edition. 309 pages. 9.25x6.25x1.00 inches., Springer Verlag, 2012, 6
Biblio.co.uk |
Classical Geometries in Modern Contexts : Geometry of Real Inner Product Spaces Third Edition - gebunden oder broschiert
2012, ISBN: 3034804199
[EAN: 9783034804196], Neubuch, [SC: 0.0], [PU: Springer Basel], GEOMETRIE; RAUMLEHRE; INNERPRODUCTSPACE; LORENTZTRANSFORMATION; CLASSICALGEOMETRY; HYPERBOLICGEOMETRY; SPHEREGEOMETRY, Druc… Mehr…
2014, ISBN: 9783034804196
[ED: Buch], [PU: Springer Basel], Neuware - The focus of this book and its geometric notions is on real vector spaces X that are finite or infinite inner product spaces of arbitrary dimen… Mehr…
ISBN: 9783034804196
The focus of this book and its geometric notions is on real vector spaces X that are finite or infinite inner product spaces of arbitrary dimension greater than or equal to 2. It characte… Mehr…
Classical Geometries in Modern Contexts: Geometry of Real Inner Product Spaces Third Edition - gebunden oder broschiert
2012, ISBN: 9783034804196
Birkhäuser, Gebundene Ausgabe, Auflage: 3rd ed. 2012, 328 Seiten, Publiziert: 2012-08-14T00:00:01Z, Produktgruppe: Buch, Hersteller-Nr.: biography, 1.45 kg, Verkaufsrang: 4859, Geometrie,… Mehr…
Classical Geometries in Modern Contexts: Geometry of Real Inner Product Spaces Third Edition - gebunden oder broschiert
2012, ISBN: 9783034804196
Springer Verlag, 2012. Hardcover. New. 3rd edition. 309 pages. 9.25x6.25x1.00 inches., Springer Verlag, 2012, 6
Bibliographische Daten des bestpassenden Buches
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The focus of this book and its geometric notions is on real vector spaces X that are finite or infinite inner product spaces of arbitrary dimension greater than or equal to 2. It characterizes both euclidean and hyperbolic geometry with respect to natural properties of (general) translations and general distances of X. Also for these spaces X, it studies the sphere geometries of Möbius and Lie as well as geometries where Lorentz transformations play the key role.
Proofs of newer theorems characterizing isometries and Lorentz transformations under mild hypotheses are included, such as for instance infinite dimensional versions of famous theorems of A.D. Alexandrov on Lorentz transformations. A real benefit is the dimension-free approach to important geometrical theories.
New to this third edition is a chapter dealing with a simple and great idea of Leibniz that allows us to characterize, for these same spaces X, hyperplanes of euclidean, hyperbolic geometry, or spherical geometry, the geometries of Lorentz-Minkowski and de Sitter, and this through finite or infinite dimensions greater than 1.
Another new and fundamental result in this edition concerns the representation of hyperbolic motions, their form and their transformations. Further we show that the geometry (P,G) of segments based on X is isomorphic to the hyperbolic geometry over X. Here P collects all x in X of norm less than one, G is defined to be the group of bijections of P transforming segments of P onto segments.
The only prerequisites for reading this book are basic linear algebra and basic 2- and 3-dimensional real geometry. This implies that mathematicians who have not so far been especially interested in geometry could study and understand some of the great ideas of classical geometries in modern and general contexts.
Detailangaben zum Buch - Classical Geometries in Modern Contexts: Geometry of Real Inner Product Spaces Third Edition
EAN (ISBN-13): 9783034804196
ISBN (ISBN-10): 3034804199
Gebundene Ausgabe
Erscheinungsjahr: 2012
Herausgeber: Birkhäuser
309 Seiten
Gewicht: 0,624 kg
Sprache: Englisch
Buch in der Datenbank seit 2007-05-30T05:23:40+02:00 (Berlin)
Detailseite zuletzt geändert am 2024-02-12T16:51:44+01:00 (Berlin)
ISBN/EAN: 9783034804196
ISBN - alternative Schreibweisen:
3-0348-0419-9, 978-3-0348-0419-6
Alternative Schreibweisen und verwandte Suchbegriffe:
Autor des Buches: benz, walter, minkowski, alexandrov
Titel des Buches: geometrie, have never been modern, real spaces, real geometries, thonis context, classical modern, edition, real book, third space, classical geometry
Daten vom Verlag:
Autor/in: Walter Benz
Titel: Classical Geometries in Modern Contexts - Geometry of Real Inner Product Spaces Third Edition
Verlag: Birkhäuser; Springer Basel
310 Seiten
Erscheinungsjahr: 2012-08-14
Basel; CH
Gedruckt / Hergestellt in Niederlande.
Gewicht: 0,658 kg
Sprache: Englisch
106,99 € (DE)
109,99 € (AT)
118,00 CHF (CH)
POD
XVIII, 310 p.
BB; Geometry; Hardcover, Softcover / Mathematik/Geometrie; Geometrie; Verstehen; Inner product space; Lorentz transformation; classical geometry; hyperbolic geometry; sphere geometry; Mathematical Methods in Physics; Geometry; Mathematical Methods in Physics; Mathematische Physik; BB; BC; EA
Preface.- 1 Translation Groups.- 2 Euclidean and Hyperbolic Geometry.- 3 Sphere Geometries of Möbius and Lie.- 4 Lorentz Transformations.- 5 δ–Projective Mappings, Isomorphism Theorems.- 6 Planes of Leibniz, Lines of Weierstrass, Varia.- A Notation and symbols.- B Bibliography.- Index.Weitere, andere Bücher, die diesem Buch sehr ähnlich sein könnten:
Neuestes ähnliches Buch:
9783034807418 Classical Geometries in Modern Contexts (Walter Benz)
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