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OverviewThis text develops linear algebra with the view that it is an important gateway connecting elementary mathematics to more advanced subjects, such as advanced calculus, systems of differential equations, differential geometry, and group representations. The purpose of this book is to provide a treatment of this subject in sufficient depth to prepare the reader to tackle such further material. The text starts with vector spaces, over the sets of real and complex numbers, and linear transformations between such vector spaces. Later on, this setting is extended to general fields. The reader will be in a position to appreciate the early material on this more general level with minimal effort. Notable features of the text include a treatment of determinants, which is cleaner than one often sees, and a high degree of contact with geometry and analysis, particularly in the chapter on linear algebra on inner product spaces. In addition to studying linear algebra over general fields, the text has a chapter on linear algebra over rings. There is also a chapter on special structures, such as quaternions, Clifford algebras, and octonions. Full Product DetailsAuthor: Michael E. TaylorPublisher: American Mathematical Society Imprint: American Mathematical Society Weight: 0.333kg ISBN: 9781470456702ISBN 10: 1470456702 Pages: 328 Publication Date: 30 September 2020 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsVector spaces, linear transformations, and matrices Eigenvalues, eigenvectors, and generalized eigenvectors Linear algebra on inner product spaces Further basic concepts: duality, convexity, positivity Multilinear algebra Linear algebra over more general fields Rings and modules Special structures in linear algebra Complementary results Bibliography Index.ReviewsAuthor InformationMichael E. Taylor, University of North Carolina, Chapel Hill, NC Tab Content 6Author Website:Countries AvailableAll regions |
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