
Pure and Applied Undergraduate Texts 2015; approx. 318 pp; hardcover Volume: 24 ISBN10: 1470418525 ISBN13: 9781470418526 List Price: US$67 Member Price: US$53.60 Order Code: AMSTEXT/24
Not yet published.
Expected publication date is May 25, 2015. See also: Applied Linear Algebra: The Decoupling Principle, Second Edition  Lorenzo Sadun A (Terse) Introduction to Linear Algebra  Yitzhak Katznelson and Yonatan R Katznelson  Linear algebra and matrix theory are fundamental tools for almost every area of mathematics, both pure and applied. This book combines coverage of core topics with an introduction to some areas in which linear algebra plays a key role, for example, block designs, directed graphs, error correcting codes, and linear dynamical systems. Notable features include a discussion of the Weyr characteristic and Weyr canonical forms, and their relationship to the betterknown Jordan canonical form; the use of block cyclic matrices and directed graphs to prove Frobenius's theorem on the structure of the eigenvalues of a nonnegative, irreducible matrix; and the inclusion of such combinatorial topics as BIBDs, Hadamard matrices, and strongly regular graphs. Also included are McCoy's theorem about matrices with property P, the BruckRyserChowla theorem on the existence of block designs, and an introduction to Markov chains. This book is intended for those who are familiar with the linear algebra covered in a typical first course and are interested in learning more advanced results. Readership Undergraduate and graduate students and research mathematicians interested in linear algebra, linear systems, graph theory, block designs, matrices, and error correcting codes. Table of Contents



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