Tensors and Manifolds: With Applications to Physics - Softcover

Wasserman, Robert H.

Softcover

ISBN 10: 0199564825 ISBN 13: 9780199564828

Publisher: Oxford University Press, 2009

Synopsis

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 specialized 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. He 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 rigor 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.

About this title

About the Author

Robert H. Wasserman is Professor Emeritus of Mathematics at Michigan State University, U.S.A. .

Review

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

Edition details

• Publisher: Oxford University Press
• Publication date: 2009
• ISBN 10: 0199564825
• ISBN 13: 9780199564828
• Binding: Paperback
• Language: English
• Edition number: 2
• Number of pages: 447