This is a graduate textbook covering an especially broad range of topics. The first part of the book contains a careful but rapid discussion of the basics of linear algebra, including vector spaces, linear transformations, quotient spaces, and isomorphism theorems. The author then proceeds to modules, emphasizing a comparison with vector spaces. A thorough discussion of inner product spaces, eigenvalues, eigenvectors, and finite dimensional spectral theory follows, culminating in the finite dimensional spectral theorem for ...
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This is a graduate textbook covering an especially broad range of topics. The first part of the book contains a careful but rapid discussion of the basics of linear algebra, including vector spaces, linear transformations, quotient spaces, and isomorphism theorems. The author then proceeds to modules, emphasizing a comparison with vector spaces. A thorough discussion of inner product spaces, eigenvalues, eigenvectors, and finite dimensional spectral theory follows, culminating in the finite dimensional spectral theorem for normal operators. The second part of the book is a collection of topics, including metric vector spaces, metric spaces, Hilbert spaces, tensor products, and affine geometry. The last chapter discusses the umbral calculus, an area of modern algebra with important applications.The second edition contains two new chapters: a chapter on convexity, separation and positive solutions to linear systems and a chapter on the QR decomposition, singular values and pseudoinverses. The treatments of tensor products and the umbral calculus have been greatly expanded and there is now a discussion of determinants (in the chapter on tensor products), the complexification of a real vector space, Schur's lemma and Gersgorin disks.
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Add this copy of Advanced Linear Algebra (Graduate Texts in Mathematics) to cart. $62.14, good condition, Sold by Jenson Books Inc rated 4.0 out of 5 stars, ships from Logan, UT, UNITED STATES, published 2005 by Springer.
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This item shows signs of wear from consistent use, but it remains in good condition and works perfectly. All pages and cover are intact, but may have aesthetic issues such as small tears, bends, scratches, and scuffs. Spine may also show signs of wear. Pages may include some notes and highlighting. May include "From the library of" labels. Satisfaction Guaranteed.
Add this copy of Advanced Linear Algebra (Graduate Texts in Mathematics) to cart. $86.49, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Newport Coast, CA, UNITED STATES, published 2005 by Springer.
Add this copy of Advanced Linear Algebra (Graduate Texts in Mathematics) to cart. $126.84, new condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Newport Coast, CA, UNITED STATES, published 2005 by Springer.
