Paul Renteln: Manifolds, Tensors, and Forms

Cover: 9781107042193 | Manifolds, Tensors, and Forms | Paul Renteln | Buch | Englisch | 2017

Rückseite: 9781107042193 | Manifolds, Tensors, and Forms | Paul Renteln | Buch | Englisch | 2017

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Sprache: Englisch

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Beschreibung

Providing a succinct yet comprehensive treatment of the essentials of modern differential geometry and topology, this book's clear prose and informal style make it accessible to advanced undergraduate and graduate students in mathematics and the physical sciences. The text covers the basics of multilinear algebra, differentiation and integration on manifolds, Lie groups and Lie algebras, homotopy and de Rham cohomology, homology, vector bundles, Riemannian and pseudo-Riemannian geometry, and degree theory. It also features over 250 detailed exercises, and a variety of applications revealing fundamental connections to classical mechanics, electromagnetism (including circuit theory), general relativity and gauge theory. Solutions to the problems are available for instructors at [...]

Über den Autor

Paul Renteln is Professor of Physics in the Department of Physics, California State University, San Bernardino, where he has taught a wide range of courses in physics. He is also Visiting Associate in the Department of Mathematics, California Institute of Technology, where he conducts research into combinatorics.

Inhaltsverzeichnis

Preface; 1. Linear algebra; 2. Multilinear algebra; 3. Differentiation on manifolds; 4. Homotopy and de Rham cohomology; 5. Elementary homology theory; 6. Integration on manifolds; 7. Vector bundles; 8. Geometric manifolds; 9. The degree of a smooth map; Appendixes; References; Index.

Erscheinungsjahr:	2017
Genre:	Importe , Physik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
ISBN-13:	9781107042193
ISBN-10:	1107042194
Sprache:	Englisch
Einband:	Gebunden
Autor:	Renteln, Paul
Hersteller:	Cambridge University Press
Verantwortliche Person für die EU:	Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße:	250 x 175 x 23 mm
Von/Mit:	Paul Renteln
Erscheinungsdatum:	19.04.2017
Gewicht:	0,77 kg