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Linear algebra done right

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Linear algebra done right/ by Sheldon Axler.
作者:	Axler, Sheldon.
出版者:	Cham :Springer International Publishing : : 2024.,
面頁冊數:	xvii, 390 p. :ill., digital ;24 cm.
內容註:	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.
Contained By:	Springer Nature eBook
標題:	Algebras, Linear. -
電子資源:	https://doi.org/10.1007/978-3-031-41026-0
ISBN:	9783031410260

Linear algebra done right
Axler, Sheldon.

Linear algebra done right[electronic resource] /by Sheldon Axler. - Fourth edition. - Cham :Springer International Publishing :2024. - xvii, 390 p. :ill., digital ;24 cm. - Undergraduate texts in mathematics,2197-5604. - Undergraduate texts in mathematics..

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.

Open access.

Now available in Open Access, this best-selling textbook for a second course in linear algebra is aimed at undergraduate math majors and graduate students. The fourth edition gives an expanded treatment of the singular value decomposition and its consequences. It includes a new chapter on multilinear algebra, treating bilinear forms, quadratic forms, tensor products, and an approach to determinants via alternating multilinear forms. This new edition also increases the use of the minimal polynomial to provide cleaner proofs of multiple results. Also, over 250 new exercises have been added. 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 simplify proofs. A variety of interesting exercises in each chapter helps students understand and manipulate the objects of linear algebra. Beautiful formatting creates pages with an unusually student-friendly appearance in both print and electronic versions. No prerequisites are assumed other than the usual demand for suitable mathematical maturity. 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: Altogether, the text is a didactic masterpiece. - zbMATH The determinant-free proofs are elegant and intuitive. - American Mathematical Monthly The most original linear algebra book to appear in years, it certainly belongs in every undergraduate library - CHOICE.

ISBN: 9783031410260

Standard No.: 10.1007/978-3-031-41026-0doiSubjects--Topical Terms:

521915
Algebras, Linear.

LC Class. No.: QA184.2

Dewey Class. No.: 512.5

Linear algebra done right
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505 0 $a 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.
506 $a Open access.
520 $a Now available in Open Access, this best-selling textbook for a second course in linear algebra is aimed at undergraduate math majors and graduate students. The fourth edition gives an expanded treatment of the singular value decomposition and its consequences. It includes a new chapter on multilinear algebra, treating bilinear forms, quadratic forms, tensor products, and an approach to determinants via alternating multilinear forms. This new edition also increases the use of the minimal polynomial to provide cleaner proofs of multiple results. Also, over 250 new exercises have been added. 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 simplify proofs. A variety of interesting exercises in each chapter helps students understand and manipulate the objects of linear algebra. Beautiful formatting creates pages with an unusually student-friendly appearance in both print and electronic versions. No prerequisites are assumed other than the usual demand for suitable mathematical maturity. 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: Altogether, the text is a didactic masterpiece. - zbMATH The determinant-free proofs are elegant and intuitive. - American Mathematical Monthly The most original linear algebra book to appear in years, it certainly belongs in every undergraduate library - CHOICE.
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