Linear algebra Introduction to abstract mathematics

The book constitutes a substantial, abstract introduction to linear algebra. Topics covered include: sets and functions; groups and group homomorphisms; vector spaces and linear transformations; basis and dimension; matrices; representation of linear transformations; inner product spaces; determinan...

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Bibliographic Details
Main Author: Robert J Valenza
Format: Book
Language:Undetermined
Published: New York Springer-Verlag 1993
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Institutions: Trung tâm Học liệu Trường Đại học Cần Thơ
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Summary:The book constitutes a substantial, abstract introduction to linear algebra. Topics covered include: sets and functions; groups and group homomorphisms; vector spaces and linear transformations; basis and dimension; matrices; representation of linear transformations; inner product spaces; determinants; eigenvectors and eigenvalues; and triangulation of endomorphisms and reduction to normal forms. A supplement chapter discusses the connect between linear algebra and multivariate calculus and introduces categories and functors