Tensors : The Mathematics of Relativity Theory and Continuum Mechanics 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.