Introduction to Vectors and Tensors, Vol. 1, Linear and Multilinear Algebra” by Ray M. Bowen and C.-C. Wang can be downloaded in pdf format. Geared toward engineering and science students rather than mathematicians, its less rigorous treatment focuses on physics and engineering applications. A practical reference for professionals, it is suitable for advanced undergraduate and graduate students.

**Description**

This work represents our effort to present the basic concepts of vector and tensor analysis. Volume I begins with a brief discussion of algebraic structures followed by a rather detailed discussion of the algebra of vectors and tensors. Volume II begins with a discussion of Euclidean Manifolds which leads to a development of the analytical and geometrical aspects of vector and tensor fields. We have not included a discussion of general differentiable manifolds. However, we have included a chapter on vector and tensor fields defined on Hypersurfaces in a Euclidean Manifold.

**Contents**

- Elementary Matrix Theory
- Sets, Relations, and Functions
- Groups, Rings and Fields
- Vector Spaces
- Linear Transformations
- Determinants and Matrices
- Spectral Decompositions
- Tensor Algebra
- Exterior Algebra

**Book Details**

Format(s): PDF

File size: 1.14 MB

Number of pages: 314

Link: Download.