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More copies of this ISBNOther titles in the Springer Undergraduate Mathematics series:
Further Linear Algebra (Springer Undergraduate Mathematics Series,)by T S Blyth
Synopses & ReviewsPublisher Comments:Further Linear Algebra is a natural sequel to the authors' highly acclaimed SUMS volume "Basic Linear Algebra". The more advanced topics covered here take the reader to the very heart of the subject, and include inner product spaces, direct sums of subspaces, the primary decomposition theorem and various canonical forms for matrices. Furthermore, the authors provide a brief introduction to the use of MAPLE in linear algebra calculations, and biographical profiles of eminent mathematicians associated with the subject.
An introductory chapter recaps the prerequisites (for those readers unfamiliar with the first volume), and a wide range of worked examples and exercises (with solutions) are strategically placed throughout the text to consolidate understanding. Synopsis:Further Linear Algebra is a natural sequel to the authors' highly acclaimed SUMS volume "Basic Linear Algebra". The more advanced topics covered here take the reader to the very heart of the subject, and include inner product spaces, direct sums of subspaces, the primary decomposition theorem and various canonical forms for matrices. Furthermore, the authors provide a brief introduction to the use of MAPLE in linear algebra calculations, and biographical profiles of eminent mathematicians associated with the subject. An introductory chapter recaps the prerequisites (for those readers unfamiliar with the first volume), and a wide range of worked examples and exercises (with solutions) are strategically placed throughout the text to consolidate understanding.
Table of ContentsThe Story So Far. Inner Product Spaces. Direct Sums of Subspaces. Primary Decomposition. Reduction to Triangular Form. Reduction to Jordan Form. Rational and Classical Forms. Dual Spaces. Orthogonal Direct Sums. Bilinear and Quadratic Forms. Real Normality. Computer Assistance. But Who Were They? Solutions to the Exercises. Index.
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