Introduction to Vectors and Tensors Volume 1: Linear and Multilinear Algebra by Ray M. Bowen, C.-C.Wang
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About this book :-
This is 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. Volume II begins concerned a discussion of Euclidean Manifolds which leads to a development of the analytical and geometrical aspects of vector and tensor fields. The book focuses on the math behind these ideas and shows how they are used in real-world problems. It's perfect for students studying physics, engineering, or math who want to understand these important tools.
Book Detail :-
This book has following details information.
Title:
Introduction to Vectors and Tensors Volume 1: Linear and Multilinear Algebra by Ray M. Bowen, C.-C.Wang
Publisher:
Springer
Year:
2008
Pages:
314
Type:
PDF
Language:
English
ISBN-10 #:
0306375087
ISBN-13 #:
9780306375088
License:
N\A
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About Author :-
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Book Contents :-
This book has following table of contents.
Part-I BASIC MATHEMATICS
0. Elementary Matrix Theory
1. Sets, Relations, and Functions
2. Groups, Rings and Fields
Part-II VECTOR AND TENSOR ALGEBRA
3. Vector Spaces
4. Linear Transformations
5. Determinants and Matrices
6. Spectral De compositions
7. Tensor Algebra
8. Exterior Algebra
Part-III VECTOR AND TENSOR ANALYSIS
9. Euclidean Manifolds
10. Vector Fields and Differential Forms
11. Hyper surfaces in a Euclidean Manifold
12. Elements of Classical Continuous Groups
13. Integration of Fields on Euclidean Manifolds, Hyper surfaces, and Continuous Groups
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