Linear Algebra Done Right / by Sheldon Axler
データ種別 | 電子書籍 |
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版 | 3rd ed. 2015. |
出版者 | Cham : Springer International Publishing : Imprint: Springer |
出版年 | 2015 |
書誌詳細を非表示
書誌ID | OB01016721 |
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本文言語 | 英語 |
一般注記 | License restrictions may limit access Summary: 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 |
著者標目 | *Axler, Sheldon SpringerLink (Online service) |
統一書名標目 | Undergraduate Texts in Mathematics, |
件 名 | LCSH:Mathematics LCSH:Matrix theory FREE:Mathematics FREE:Linear and Multilinear Algebras, Matrix Theory |
分 類 | LCC:QA184-205 DC23:512.5 |
巻冊次 | ISBN:9783319110806 RefWorks出力(各巻) print ; ISBN:9783319110790 RefWorks出力(各巻) |
資料種別 | 機械可読データファイル |
所蔵情報へのリンク | Linear algebra done right / Sheldon Axler |
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※2020年8月16日以降