Tensors: the mathematics of relativity theory and continuum mechanics

✍ Scribed by Anadi Jiban Das

• Book ID: 127418953
• Publisher: Springer
• Year: 2007
• Tongue: English
• Weight: 3 MB
• Edition: 1
• Category: Library
• ISBN: 0387694684

✦ Synopsis

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.