Tensors and Manifolds: With Applications to Physics

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Robert H. Wasserman (, Department of Mathematics, Michigan State University, USA)

Tensors and Manifolds

With Applications to Physics

Robert H. Wasserman (, Department of Mathematics, Michigan State University, USA)

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English

Oxford University Press
01 April 2004

Calculus & mathematical analysis; Differential & Riemannian geometry; Algebraic topology; Maths for scientists; Relativity physics; Maths for engineers

"This book is a new edition of ""Tensors and Manifolds: With Applications to Mechanics and Relativity"" which was published in 1992. It is based on courses taken by advanced undergraduate and beginning graduate students in mathematics and physics, giving an introduction to the expanse of modern mathematics and its application in modern physics. It aims to fill the gap between the basic courses and the highly technical and specialised courses which both mathematics and physics students require in their advanced training, while simultaneously trying to promote, at an early stage, a better appreciation and understanding of each other's discipline. The book sets forth the basic principles of tensors and manifolds, describing how the mathematics underlies elegant geometrical models of classical mechanics, relativity and elementary particle physics. The existing material from the first edition has been reworked and extended in some sections to provide extra clarity, as well as additional problems. Four new chapters on Lie groups and fibre bundles have been included, leading to an exposition of gauge theory and the standard model of elementary particle physics. Mathematical rigour combined with an informal style makes this a very accessible book and will provide the reader with an enjoyable panorama of interesting mathematics and physics."

By: Robert H. Wasserman ( Department of Mathematics Michigan State University USA)
Imprint: Oxford University Press
Country of Publication: United Kingdom
Edition: 2nd Revised edition
Dimensions: Height: 242mm, Width: 163mm, Spine: 29mm
Weight: 1g
ISBN: 9780198510598
ISBN 10: 0198510594
Pages: 464
Publication Date: 01 April 2004
Audience: College/higher education , A / AS level , Further / Higher Education
Replaced By: 9780199564828
Format: Hardback
Publisher's Status: Active

Robert H. Wasserman is Professor Emeritus of Mathematics at Michigan State University, USA.

Reviews for Tensors and Manifolds: With Applications to Physics

Review from previous edition Clearly written and self-contained and, in particular, the author has succeeded in combining mathematical rigor with a certain degree of informality in a satisfactory way. As such, this work will certainly be appreciated by a wide audience. * Mathematical Reviews, August 1993 *