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Undergraduate Texts in Mathematics Ser.: Linear Algebra Done Right by Sheldon Axler (2014, Hardcover)
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The textbook "Linear Algebra Done Right" by Sheldon Axler is part of the Undergraduate Texts in Mathematics Series and published by Springer International Publishing. This 2014 hardcover book focuses on the subject of algebra and linear algebra, providing students with a clear and concise understanding of the concepts.
- Buy It NowUndergraduate Texts in Mathematics Ser.: Linear Algebra Done R (2014, Hardcover)
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This best-selling 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 finite-dimensional 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. Inner-product spaces are introduced, leading to the finite-dimensional 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 determinant-free 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 well-produced textbook on linear algebra. "Mathematical Reviews""Product Identifiers
PublisherSpringer International Publishing A&G
ISBN-103319110799
ISBN-139783319110790
eBay Product ID (ePID)208673356
Product Key Features
Number of PagesXvii, 340 Pages
LanguageEnglish
Publication NameLinear Algebra Done Right
Publication Year2014
SubjectAlgebra / Linear
TypeTextbook
Subject AreaMathematics
AuthorSheldon Axler
SeriesUndergraduate Texts in Mathematics Ser.
FormatHardcover
Dimensions
Item Weight256.7 Oz
Item Length9.3 in
Item Width6.1 in
Additional Product Features
Edition Number3
Dewey Edition23
Reviews"This is the third edition of this well-known introduction to linear algebra. The main changes, apart from the usual improvements during a new edition, are the number of exercises which has more than doubled, new formatting including color printing, new sections on product spaces, quotient spaces, duality, and the chapter on 'Operators on Real Vector Spaces' ... . if you liked the previous editions, you will like this new edition even better!" (G. Teschl, Monatshefte fr Mathematik, 2016) "This third edition, appearing eighteen years after the second edition, is a further polishing of the existing approach. This book was and still is an interesting and useful text for a second course in linear algebra, concentrating on proofs after the concepts and mechanics have been covered in a first course." (Allen Stenger, MAA Reviews, maa.org, May, 2016) AMERICAN MATHEMATICAL MONTHLY "The determinant-free proofs are elegant and intuitive." CHOICE "Every discipline of higher mathematics evinces the profound importance of linear algebra in some way, either for the power derived from its techniques or the inspiration offered by its concepts. Axler demotes determinants (usually quite a central technique in the finite dimensional setting, though marginal in infinite dimensions) to a minor role. To so consistently do without determinants constitutes a tour de forces in the service of simplicity and clarity; these are also well served by the general precision of Axler's prose. Students with a view towards applied mathematics, analysis, or operator theory will be well served. The most original linear algebra book to appear in years, it certainly belongs in every undergraduate library." ZENTRALBLATT MATH "Altogether, the text is a didactic masterpiece." MATHEMATICAL REVIEWS "Clarity through examples is emphasized ... the text is ideal for class exercises ... I congratulate the author and the publisher for a well-produced textbook on linear algebra.", FROM THE REVIEWS: AMERICAN MATHEMATICAL MONTHLY "The determinant-free proofs are elegant and intuitive." CHOICE "Every discipline of higher mathematics evinces the profound importance of linear algebra in some way, either for the power derived from its techniques or the inspiration offered by its concepts. Axler demotes determinants (usually quite a central technique in the finite dimensional setting, though marginal in infinite dimensions) to a minor role. To so consistently do without determinants constitutes a tour de forces in the service of simplicity and clarity; these are also well served by the general precision of Axler's prose. Students with a view towards applied mathematics, analysis, or operator theory will be well served. The most original linear algebra book to appear in years, it certainly belongs in every undergraduate library." ZENTRALBLATT MATH "Altogether, the text is a didactic masterpiece.", "This is the third edition of this well-known introduction to linear algebra. The main changes, apart from the usual improvements during a new edition, are the number of exercises which has more than doubled, new formatting including color printing, new sections on product spaces, quotient spaces, duality, and the chapter on 'Operators on Real Vector Spaces' ... . if you liked the previous editions, you will like this new edition even better!" (G. Teschl, Monatshefte für Mathematik, 2016) "This third edition, appearing eighteen years after the second edition, is a further polishing of the existing approach. This book was and still is an interesting and useful text for a second course in linear algebra, concentrating on proofs after the concepts and mechanics have been covered in a first course." (Allen Stenger, MAA Reviews, maa.org, May, 2016) AMERICAN MATHEMATICAL MONTHLY "The determinant-free proofs are elegant and intuitive." CHOICE "Every discipline of higher mathematics evinces the profound importance of linear algebra in some way, either for the power derived from its techniques or the inspiration offered by its concepts. Axler demotes determinants (usually quite a central technique in the finite dimensional setting, though marginal in infinite dimensions) to a minor role. To so consistently do without determinants constitutes a tour de forces in the service of simplicity and clarity; these are also well served by the general precision of Axler's prose. Students with a view towards applied mathematics, analysis, or operator theory will be well served. The most original linear algebra book to appear in years, it certainly belongs in every undergraduate library." ZENTRALBLATT MATH "Altogether, the text is a didactic masterpiece." MATHEMATICAL REVIEWS "Clarity through examples is emphasized ... the text is ideal for class exercises ... I congratulate the author and the publisher for a well-produced textbook on linear algebra."
Target AudienceScholarly & Professional
Number of Volumes1 Vol.
IllustratedYes
Dewey Decimal512.5
Lc Classification NumberQa184-205
Table of Content-Preface for the Instructor-Preface for the Student-Acknowledgments-1. Vector Spaces- 2. Finite-Dimensional 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 Determinant-Photo Credits-Symbol Index-Index.
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