Tensors 2007th Edition by Das (PDF)

Description

Here is a modern introduction to the theory of tensor algebra and tensor analysis. It discusses tensor algebra and introduces differential manifold. Coverage also details tensor analysis, differential forms, connection forms, and curvature tensor. In addition, the book investigates Riemannian and pseudo-Riemannian manifolds in great detail. Throughout, examples and problems are furnished from the theory of relativity and continuum mechanics.

User’s Reviews

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, 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. Read more

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐Tensors: The Mathematics of Relativity Theory and Continuum MechanicsbyDr. Anadijiban DasA ReviewThis book emerged from nearly five decades of author’s global experience teaching courses on mathematical physics, at the University College of Dublin, Carnegie-Mellon University in Pittsburgh and at Simon Fraser University in British Columbia.Tensors provide a concise mathematical framework for formulating and solving problems in physics in areas such as general relativity, elasticity and fluid mechanics. The author uses the latest ideas and methods to introduce the theory of tensor algebra and tensor analysis applied to the mathematical theory of relativity and continuum mechanics. Coverage also includes in-depth tensor analysis, differential manifold, differential forms, connection forms, and curvature tensor. In addition, the book investigates Riemannian and pseudo-Riemannian manifolds in great detail.Throughout the book, examples and problems are provided on the theory of relativity and continuum mechanics, making it a unique text for the pursuit of both the mathematical relativity theory and continuum mechanics. To supplement concepts of pure mathematics, this book is enhanced by perceptive descriptions of Fiber Bundles and Lie Derivatives, which are included in the Appendix. A unique feature of this book is the inclusion of problems with answers and hints provided for every chapter. The problems are not so unmanageable that you will skip them, nor so hard that you will give up in frustration. Indeed, for self study, the simple fact that there are answers is a key factor that motivates the reader to tackle the problems.I purchased this book to further my self-study of Physics. This is one of the best books I have come across on the application of tensors to relativity theory and continuum mechanics.Dr. A. GuhaScientistRexford, NY

⭐This book is a clearly written introduction to the subject of tensors. The concepts are introduced in a logical, step by step way, starting from finite-dimensional vector spaces. A good number of examples and diagrams are provided throughout. Each section has problems with hints and answers. The book would work well for a course, but could also be used for self study.

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