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  Linear Algebra: A Pure Mathematical Approach
 

Linear Algebra: A Pure Mathematical Approach

by Harvey E. Rose

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  Linear algebra is one of the most important branches of mathematics - important because of its many applications to other areas of mathematics, and important because it contains a wealth of ideas and results which are basic to pure mathematics. This book gives an introduction to linear algebra, and develops and proves its fundamental properties and theorems taking a pure mathematical approach.

A large number of examples, exercises and problems are provided. Answers and/or sketch solutions to all of the problems are given in an appendix. The intended readership is undergraduate mathematicians, also anyone who requires a more than basic understanding of the subject. This book will be most useful for a "second course" in linear algebra, that is for students that have seen some elementary matrix algebra. But as all terms are defined from scratch, the book can be used for a "first course" for more advanced students.

Contents :-
Preface
Chapter 1 - Algebraic Preamble
Chapter 2 - Vector Spaces and Linear Maps
Chapter 3 - Matrices, Determinants and Linear Equations
Chapter 4 - Cayley- Hamilton Theorem and Jordan Form
Chapter 5 - Interlude on Finite Fields
Finite Fields
Chapter 6 - Hermitian and Inner Product Spaces
Chapter 7 - Selected Topics
Appendix A - Set theory
Appendix B - Answers and Solutions to the problems
Bibliography
Index.ISBN - 9788181282149
 


Pages : 264
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