Roger A HornCambridge University PressEdition: 2, 12/20/2012EAN 9780521548236, ISBN10: 0521548233Paperback, 662 pages, 25.4 x 17.8 x 3.8 cmLanguage: EnglishLinear algebra and matrix theory are fundamental tools in mathematical and physical science, as well as fertile fields for research. This second edition of this acclaimed text presents results of both classic and recent matrix analysis using canonical forms as a unifying theme and demonstrates their importance in a variety of applications. This thoroughly revised and updated second edition is a text for a second course on linear algebra and has more than 1,100 problems and exercises, new sections on the singular value and CS decompositions and the Weyr canonical form, expanded treatments of inverse problems and of block matrices, and much more.1. Eigenvalues, eigenvectors, and similarity2. Unitary similarity and unitary equivalence3. Canonical forms for similarity, and triangular factorizations4. Hermitian matrices, symmetric matrices, and congruences5. Norms for vectors and matrices6. Location and perturbation of eigenvalues7. Positive definite and semi-definite matrices8. Positive and nonnegative matricesAppendix A. Complex numbersAppendix B. Convex sets and functionsAppendix C. The fundamental theorem of algebraAppendix D. Continuous dependence of the zeroes of a polynomial on its coefficientsAppendix E. Continuity, compactness, and Weierstrass' theoremAppendix F. Canonical pairs.Review of the first edition: 'The presentation is straightforward and extremely readable. The authors' enthusiasm pervades the book, and the printing is what we expect from this publisher. This will doubtless be the standard text for years to come.' American Scientist
