{"product_id":"linear-algebra-done-right-undergraduate-texts-in-mathematics","title":"Linear Algebra Done Right (Undergraduate Texts in Mathematics)","description":"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.\nThe 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.\n\nNo 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.\nFrom the reviews of previous editions:\n\nAltogether, the text is a didactic masterpiece. ― zbMATH\nThe determinant-free proofs are elegant and intuitive. ― American Mathematical Monthly\n\nThe most original linear algebra book to appear in years, it certainly belongs in every undergraduate library ― CHOICE\u003cbr\u003eASIN: 3031410254\u003cbr\u003eVSKU: GBV.3031410254.G\u003cbr\u003eCondition: Good\u003cbr\u003eAuthor\/Artist:Axler, Sheldon\u003cbr\u003eBinding: Hardcover\u003cbr\u003e\u003cb\u003eNote:\u003c\/b\u003e Any images shown are stock photographs and product may differ from what is shown.  \u003cbr\u003e\u003cb\u003eCondition Notes\u003c\/b\u003e: Has a sturdy binding with some shelf wear. May have some markings or highlighting. Used copies may not include access codes or Cd's. Slight bending may be present.  \u003cbr\u003e","brand":"Good Books Company","offers":[{"title":"Default Title","offer_id":55507508003121,"sku":"GBV.3031410254.G","price":46.47,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0914\/3730\/2065\/files\/3031410254-0.jpg?v=1785438768","url":"https:\/\/goodbookscompany.org\/products\/linear-algebra-done-right-undergraduate-texts-in-mathematics","provider":"Good Books Company","version":"1.0","type":"link"}