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Advanced Linear Algebra by Bruce Cooperstein (Hardcover, 2010)

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Product Information

Advanced Linear Algebra focuses on vector spaces and the maps between them that preserve their structure (linear transformations). It starts with familiar concepts and then slowly builds to deeper results. Along with including many exercises and examples, each section reviews what students need to know before studying the material. The book first introduces vector spaces over fields as well as the fundamental concepts of linear combinations, span of vectors, linear independence, basis, and dimension. After covering linear transformations, it discusses the algebra of polynomials with coefficients in a field, concentrating on results that are consequences of the division algorithm. The author then develops the whole structure theory of a linear operator on a finite dimensional vector space from a collection of some simple results. He also explores the entire range of topics associated with inner product spaces, from the Gram-Schmidt process to the spectral theorems for normal and self-adjoint operators on an inner product space. The text goes on to rigorously describe the trace and determinant of linear operators and square matrices. The final two chapters focus on bilinear forms and tensor products and related material. Designed for advanced undergraduate and beginning graduate students, this textbook shows students the beauty of linear algebra. It also prepares them for further study in mathematics.

Product Identifiers

PublisherTaylor & Francis INC International Concepts

ISBN-139781439829660

eBay Product ID (ePID)93246208

Product Key Features

Number of Pages364 Pages

LanguageEnglish

Publication NameAdvanced Linear Algebra

Publication Year2010

SubjectMathematics

TypeTextbook

AuthorBruce Cooperstein

SeriesTextbooks in Mathematics

FormatHardcover

Dimensions

Item Height234 mm

Item Weight658 g

Item Width156 mm

Additional Product Features

Country/Region of ManufactureUnited States

Title_AuthorBruce Cooperstein