Tensors: The Mathematics of Relativity Theory and Continuum Mechanics

Tensors: The Mathematics of Relativity Theory and Continuum Mechanics

Anadi Jiban Das

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This book emerged from courses taught at the University College of Dublin, Carnegie-Mellon University and mostly at Simon Fraser University. This is a modern introduction to the theory of tensor algebra and tensor analysis. It discusses tensor algebra in Chapters 1 and 2. Differential manifold is introduced in Chapter 3. Tensor analysis, differential forms, connection forms, and curvature tensor are discussed in Chapter 4. Chapters 5, 6 and 7 investigate in great detail Riemannian and pseudo-Riemannian manifolds. Throughout the book, examples and problems are furnished from the theory of relativity and continuum mechanics. The extensive presentation of mathematical tools, examples and problems make this book a unique text for the pursuit of both the mathematical relativity theory and continuum mechanics. click to read more

Categories:
Mathematics

Year:
2007

Edition:
1

Publisher:
Springer

Language:
english

Pages:
300

ISBN 10:
0387694684

ISBN 13:
9780387694689

File:
PDF, 2.56 MB