Introduction to Vectors and Tensors, Vol. 1, Linear and Multilinear Algebra

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.

Book 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.

Table of 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

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