A Course in Linear Algebra with Applications~tqw~ darksiderg

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A Course in Linear Algebra with Applications
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Type.................: Ebook
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This book is a comprehensive introduction to linear algebra which presupposes no
knowledge on the part of the reader beyond the calculus. It gives a thorough
treatment of all the basic concepts, such as vector space, linear transformation
and inner product. The book proceeds at a gentle pace, yet provides full proofs.
The concept of a quotient space is introduced and is related to solutions of
linear system of equations. Also a simplified treatment of Jordan normal form is
given.
Numerous applications of linear algebra are described: these include systems of
linear recurrence relations, systems of linear differential equations, Markov
processes and the Method of Least Squares. In addition, an entirely new chapter
on linear programming introduces the reader to the Simplex Algorithm and
stresses understanding the theory on which the algorithm is based. The book is
addressed to students who wish to learn linear algebra, as well as to
professionals who need to use the methods of the subject in their own fields.
Table Of Contents
CONTENTS
Preface to the Second Edition vii
Preface to the First Edition ix
Chapter One Matrix Algebra
Chapter Two Systems of Linear Equations
Chapter Three Determinants
Chapter Four Introduction to Vector Spaces
Chapter Five Basis and Dimension
Chapter Six Linear Transformations
Chapter Seven Orthogonality in Vector Spaces
Chapter Eight Eigenvectors and Eigenvalues
Chapter Nine More Advanced Topics
Chapter Ten Linear Programming
Appendix Mathematical Induction 415
Answers to the Exercises 418
Bibliography 430
Index 432
Product Details
* ISBN: 9812700234
* ISBN-13: 9789812700230
* Format: Hardcover, 436pp
* Publisher: World Scientific Publishing Company, Incorporated
* Pub. Date: August 2006
* Edition Description: 2ND
* Edition Number: 2
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