Linear Algebra Done Right, 3rd edition

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內容簡介top Linear Algebra Done Right 簡介 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?br>?b>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.?br>?b>CHOICEhe determinantfree proofs are elegant and intuitive.?br>?b>American Mathematical Monthlylarity 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.?br>?b>Mathematical Reviews
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