LINEAR ALGEBRA DONE RIGHT by Axler, Sheldon ISBN 0387982582
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[edit] LINEAR ALGEBRA DONE RIGHT
Aimed at math majors and graduate students. This book focuses on the central goal of linear algebra: understanding the structure of linear operators on vector spaces. It is intended for a second course in linear algebra.
This text for a second course in linear algebra is aimed at math majors and graduate students. The approach is novel, banishing determinants to the end of the book and focusing on the central goal of linear algebra: understanding the strcutre of linear operators on vector spaces. The author has taken unusual care to motivate concepts and to simplify proofs. For example, the book presents - without having defined determinants - a clean proof that every linear operator on a finite- dimensional complex vector space (or an odd-dimensional real vector space) has an eigenvalue. Though this text is intended for a second course in liner algebra - following one that focuses on matrices and computation - there are no prerequisites other than appropriate mathematical maturity. Thus the book starts by discssing vector spaces, linear independence, span, basics, and dimension. Students are introduced to inner-product spaces in the first half of the book and shortly thereafter to the finite- dimensional spectral theorem. A variety of interesting exercises in each chapter helps students understand and manipulate the objects of linear algebra. This second edition features new chapters on diagonal matrices, on linear functionals and adjoints, and on the spectral theorem; some sections, such as those on self-adjoint and normal operators, have been entirely rewritten; and hundreds of minor improvements have been made throughout the text.
[edit] Book Details
[edit] Title
LINEAR ALGEBRA DONE RIGHT
[edit] Author
Axler, Sheldon
[edit] ISBN
0387982582
[edit] Published
31/12/1999
[edit] Publisher
Springer-Verlag New York Inc.
[edit] Binding
paperback
[edit] Retail Price
25.5 (GBP)
[edit] Typical Price Online
22.95 (GBP)
[edit] Buy Book Online
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