Tensors: The Mathematics of Relativity Theory and Continuum Mechanics Softcover reprint of hardcover 1st ed. 2007 Edition
Author(s): Anadi Jiban Das (Author)
- Publisher: Springer
- Publication Date: 29 Oct. 2010
- Edition: Softcover reprint of hardcover 1st ed. 2007
- Language: English
- Print length: 302 pages
- ISBN-10: 1441924108
- ISBN-13: 9781441924100
Book Description
Tensor algebra and tensor analysis were developed by Riemann, Christo?el, Ricci, Levi-Civita and others in the nineteenth century. The special theory of relativity, as propounded by Einstein in 1905, was elegantly expressed by Minkowski in terms of tensor ?elds in a ?at space-time. In 1915, Einstein formulated the general theory of relativity, in which the space-time manifold is curved. The theory is aesthetically and intellectually satisfying. The general theory of relativity involves tensor analysis in a pseudo- Riemannian manifold from the outset. Later, it was realized that even the pre-relativistic particle mechanics and continuum mechanics can be elegantly formulated in terms of tensor analysis in the three-dimensional Euclidean space. In recent decades, relativistic quantum ?eld theories, gauge ?eld theories, and various uni?ed ?eld theories have all used tensor algebra analysis exhaustively. This book develops from abstract tensor algebra to tensor analysis in va- ous di?erentiable manifolds in a mathematically rigorous and logically coherent manner. The material is intended mainly for students at the fourth-year and ?fth-year university levels and is appropriate for students majoring in either mathematical physics or applied mathematics.
Editorial Reviews
Review
From the reviews:
"This book is a very nice introduction to the theory of tensor analysis on differentiable manifolds. It is intended mainly for students, but it can also be useful to everyone interested in the tensor analysis on differentiable manifolds and its application to the relativity theory and continuum mechanics." (Cezar Dumitru Oniciuc, Zentralblatt MATH, Vol. 1138 (16), 2008)
From the Back Cover
Tensors: The Mathematics of Relativity Theory and Continuum Mechanics Softcover reprint of hardcover 1st ed. 2007 Edition, by Anadijiban Das, emerged from courses taught over the years at the University College of Dublin, Carnegie-Mellon University and Simon Fraser University.
This book will serve readers well as a modern introduction to the theories of tensor algebra and tensor analysis. Throughout Tensors, examples and worked-out problems are furnished from the theory of relativity and continuum mechanics.
Topics covered in this book include, but are not limited to:
-tensor algebra
-differential manifold
-tensor analysis
-differential forms
-connection forms
-curvature tensors
-Riemannian and pseudo-Riemannian manifolds
The extensive presentation of the mathematical tools, examples and problems make the book a unique text for the pursuit of both the mathematical relativity theory and continuum mechanics.
About the Author
Anadi Das is a Professor Emeritus at Simon Fraser University, British Columbia, Canada. He earned his Ph.D. in Mathematics and Physics from the National University of Ireland and his D.Sc. from Calcutta University. He has published numerous papers in publications such as the Journal of Mathematical Physics and Foundation of Physics. His book entitled The Special Theory of Relativity: A Mathematical Exposition was published by Springer in 1993.
View on Amazon
电子书百科大全
评论前必须登录！
立即登录 注册