Linear Algebra and Its Applications, 2nd EditionISBN: 978-0-471-75156-4
Hardcover
392 pages
September 2007
This is a Print-on-Demand title. It will be printed specifically to fill your order. Please allow an additional 15-20 days delivery time. The book is not returnable.
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Praise for the First Edition
". . .recommended for the teacher and researcher as well as for graduate students. In fact, [it] has a place on every mathematician's bookshelf." —American Mathematical Monthly
Clear, concise, and superbly organized, this new edition is an excellent text for advanced undergraduate and graduate courses and also serves as a handy professional reference.
Further updates and revisions have been included to reflect the most up-to-date coverage of the topic, including:
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The QR algorithm for finding the eigenvalues of a self-adjoint matrix
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The Householder algorithm for turning self-adjoint matrices into tridiagonal form
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The compactness of the unit ball as a criterion of finite dimensionality of a normed linear space
Additionally, eight new appendices have been added and cover topics such as: the Fast Fourier Transform; the spectral radius theorem; the Lorentz group; the compactness criterion for finite dimensionality; the characterization of commentators; proof of Liapunov's stability criterion; the construction of the Jordan Canonical form of matrices; and Carl Pearcy's elegant proof of Halmos' conjecture about the numerical range of matrices.
Selected solutions to exercises are provided at the end of the book.
Numerous new exercises and eight new appendices have been added.