Linear algebra done right
 Responsibility
 Sheldon Axler.
 Edition
 Third edition.
 Publication
 Cham : Springer, [2015]
 Copyright notice
 ©2015
 Physical description
 xvii, 340 pages : ill. ; 25 cm.
 Series
 Undergraduate texts in mathematics 01726056
Course reserve
 Course
 MATH11301  Linear Algebra and Matrix Theory
 Instructor(s)
 Chetard, Beatrice Isabelle
At the library
Science Library (Li and Ma)
Stacks
Call number  Status 

QA184 .A96 2015  On reserve at Li and Ma Science Library 2hour loan 
QA184 .A96 2015  On reserve at Li and Ma Science Library 2hour loan 
More options
Description
Creators/Contributors
 Author/Creator
 Axler, Sheldon Jay.
Contents/Summary
 Contents

 Preface for the InstructorPreface for the StudentAcknowledgments1. Vector Spaces
 2. FiniteDimensional Vector Spaces
 3. Linear Maps
 4. Polynomials
 5. Eigenvalues, Eigenvectors, and Invariant Subspaces
 6. Inner Product Spaces
 7. Operators on Inner Product Spaces
 8. Operators on Complex Vector Spaces
 9. Operators on Real Vector Spaces
 10. Trace and DeterminantPhoto CreditsSymbol IndexIndex.
 (source: Nielsen Book Data)
 Summary

This bestselling textbook for a second course in linear algebra is aimed at undergrad math majors and graduate students. The novel approach taken here banishes determinants to the end of the book. The text focuses on the central goal of linear algebra: understanding the structure of linear operators on finitedimensional vector spaces. The author has taken unusual care to motivate concepts and to simplify proofs. A variety of interesting exercises in each chapter helps students understand and manipulate the objects of linear algebra. The third edition contains major improvements and revisions throughout the book. More than 300 new exercises have been added since the previous edition. Many new examples have been added to illustrate the key ideas of linear algebra. New topics covered in the book include product spaces, quotient spaces, and dual spaces. Beautiful new formatting creates pages with an unusually pleasant appearance in both print and electronic versions. No prerequisites are assumed other than the usual demand for suitable mathematical maturity. Thus the text starts by discussing vector spaces, linear independence, span, basis, and dimension. The book then deals with linear maps, eigenvalues, and eigenvectors. Innerproduct spaces are introduced, leading to the finitedimensional spectral theorem and its consequences. Generalized eigenvectors are then used to provide insight into the structure of a linear operator. From reviews of previous editions: "...a didactic masterpiece" Zentralblatt MATH "...a tour de force in the service of simplicity and clarity ...The most original linear algebra book to appear in years, it certainly belongs in every undergraduate library." CHOICE "The determinantfree proofs are elegant and intuitive." American Mathematical Monthly "Clarity through examples is emphasized ...the text is ideal for class exercises ...I congratulate the author and the publisher for a wellproduced textbook on linear algebra." Mathematical Reviews.
(source: Nielsen Book Data)
Subjects
 Subject
 Algebras, Linear.
Bibliographic information
 Publication date
 2015
 Copyright date
 2015
 Series
 Undergraduate texts in mathematics, 01726056
 Note
 Textbook.
 Includes indexes.
 ISBN
 9783319110790 (hd.bd.)
 3319110799 (hd.bd.)
 9783319110806 (online)