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Advanced linear algebra

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Advanced Linear Algebra, Second Edition takes a gentle approach that starts with familiar concepts and then gradually builds to deeper results. Each section begins with an outline of previously introduced concepts and results necessary for mastering the new material. By reviewing what students need to know before moving forward, the text builds a solid foundation upon which to progress.

Abstract: Advanced Linear Algebra, Second Edition takes a gentle approach that starts with familiar concepts and then gradually builds to deeper results. Each section begins with an outline of previously introduced concepts and results necessary for mastering the new material. By reviewing what students need to know before moving forward, the text builds a solid foundation upon which to progress

Author(s): Cooperstein, Bruce
Series: Textbooks in mathematics 27
Edition: Second edition
Publisher: Chapman & Hall/CRC
Year: 2015

Language: English
Pages: 618
Tags: Algebras, Linear.;Algebras, Linear -- Problems, exercises, etc.;MATHEMATICS / Algebra / General.;MATHEMATICS / Applied.

Content: Chapter 1 Vector Spaces --
chapter 2 Linear Transformations --
chapter 3 Polynomials --
chapter 4 Theory of a Single Linear Operator --
chapter 5 Normed and Inner Product Spaces --
chapter 6 Linear Operators on Inner Product Spaces --
chapter 7 Trace and Determinant of a Linear Operator --
chapter 8 Bilinear Forms --
chapter 9 Sesquilinear Forms and Unitary Geometry --
chapter 10 Tensor Products --
chapter 11 Linear Groups and Groups of Isometries --
chapter 12 Additional Topics in Linear Algebra --
chapter 13 Applications of Linear Algebra.