Introduction to Vectors and Tensors, Vol. 2, Vector and Tensor Analysis by Ray M. Bowen and C.-C. Wang can be downloaded in pdf format. This is the second volume of a two-volume work on vectors and tensors.
Volume 1 is concerned with the algebra of vectors and tensors, while this volume is concerned with the geometrical aspects of vectors and tensors. This volume begins with a discussion of Euclidean manifolds. The principal mathematical entity considered in this volume is a field, which is defined on a domain in a Euclidean manifold. The values of the field may be vectors or tensors. We investigate results due to the distribution of the vector or tensor values of the field on its domain. While we do not discuss general differentiable manifolds, we do include a chapter on vector and tensor fields defined on hypersurfaces in a Euclidean manifold.
Table of Contents
- Euclidean Manifolds
- Vector Fields and Differential Forms
- Hypersurfaces in a Euclidean Manifold
- Elements of Classical Continuous Groups
- Integration of Fields on Euclidean Manifolds, Hypersurfaces, and Continuous Groups
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File size: 1.13 MB
Number of pages: 246