A Course in Linear Algebra with Applications~tqw~ darksiderg

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    *******************************************************************************<br /> A Course in Linear Algebra with Applications<br /> *******************************************************************************<br /> <br /> -------------------------------------------------------------------------------<br /> General Information<br /> -------------------------------------------------------------------------------<br /> Type.................: Ebook<br /> Part Size............: 13,922,454 bytes<br /> <br /> <br /> <br /> <br /> -------------------------------------------------------------------------------<br /> Post Information<br /> -------------------------------------------------------------------------------<br /> Posted by............: ~tqw~<br /> <br /> -------------------------------------------------------------------------------<br /> Release Notes<br /> -------------------------------------------------------------------------------<br /> This book is a comprehensive introduction to linear algebra which presupposes no <br /> knowledge on the part of the reader beyond the calculus. It gives a thorough <br /> treatment of all the basic concepts, such as vector space, linear transformation <br /> and inner product. The book proceeds at a gentle pace, yet provides full proofs. <br /> The concept of a quotient space is introduced and is related to solutions of <br /> linear system of equations. Also a simplified treatment of Jordan normal form is <br /> given.<br /> <br /> Numerous applications of linear algebra are described: these include systems of <br /> linear recurrence relations, systems of linear differential equations, Markov <br /> processes and the Method of Least Squares. In addition, an entirely new chapter <br /> on linear programming introduces the reader to the Simplex Algorithm and <br /> stresses understanding the theory on which the algorithm is based. The book is <br /> addressed to students who wish to learn linear algebra, as well as to <br /> professionals who need to use the methods of the subject in their own fields.<br /> <br /> Table Of Contents<br /> <br /> CONTENTS<br /> Preface to the Second Edition vii<br /> Preface to the First Edition ix<br /> Chapter One Matrix Algebra<br /> Chapter Two Systems of Linear Equations<br /> Chapter Three Determinants<br /> Chapter Four Introduction to Vector Spaces<br /> Chapter Five Basis and Dimension<br /> Chapter Six Linear Transformations<br /> Chapter Seven Orthogonality in Vector Spaces<br /> Chapter Eight Eigenvectors and Eigenvalues<br /> Chapter Nine More Advanced Topics<br /> Chapter Ten Linear Programming<br /> Appendix Mathematical Induction 415<br /> Answers to the Exercises 418<br /> Bibliography 430<br /> Index 432<br /> <br /> Product Details<br /> <br /> * ISBN: 9812700234<br /> * ISBN-13: 9789812700230<br /> * Format: Hardcover, 436pp<br /> * Publisher: World Scientific Publishing Company, Incorporated<br /> * Pub. Date: August 2006<br /> * Edition Description: 2ND<br /> * Edition Number: 2<br /> <br /> -------------------------------------------------------------------------------<br /> Install Notes<br /> -------------------------------------------------------------------------------<br /> PDF Reader
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