000			03362nam a22003255i 4500
001			u5539
003			SIRSI
005			20260604122346.0
008			240404s2024 sz a r 000|0 eng d
020			_a9783031410253
040			_aMiAaPQ _beng _erda _epn _cMiAaPQ _dMiAaPQ _dclrauoh
082	0		_a512.5
100	1		_aAxler, Sheldon.
245	1	0	_aLinear Algebra Done Right / _cby Sheldon Axler.
250			_aFourth edition
260		1	_aCham : _bSpringer International Publishing , _c2024.
300			_axvii, 390 pages : _billustrations.
336			_atext _btxt _2rdacontent
337			_aunmediated _bn _2rdamedia
338			_avolume _bnc _2rdacarrier
490	1		_aUndergraduate Texts in Mathematics, _x2197-5604
505	0		_aPreface 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	0		_aOpen Access
520			_aNow 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.
650		0	_aAlgebras, Linear.
650		0	_aÁlgebras lineales.
650	1	4	_aLinear Algebra.
856			_uhttps://itmsp.museknowledge.com/UOH?qurl=https://libros-uoh.uoh.cl//ebook_2/linear-algebra-done-right/ _yVER LIBRO DIGITAL
942			_2ddc _cBOOK
999			_c4123 _d4123