Description

Book Synopsis
Provides a careful, thorough, and rigorous introduction to linear algebra. The book adopts a conceptual point of view, focusing on the notions of vector spaces and linear transformations, and it takes pains to provide proofs that bring out the essential ideas of the subject.

Table of Contents
  • Vector spaces: The basics
  • Systems of linear equations
  • Vector spaces
  • Linear transformations
  • More on vector spaces and linear transformations
  • The determinant
  • The structure of a linear transformation
  • Jordan canonical form
  • Vector spaces with additional structure: Forms on vector spaces
  • Inner product spaces
  • Fields
  • Polynomials
  • Normed vector spaces and questions of analysis
  • A guide to further reading
  • Index.

    Linear Algebra for the Young Mathematician

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      A Hardback by Steven H. Weintraub

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        Book details

        Publisher American Mathematical Society
        Published 30 December 2019
        ISBN-13 9781470450847
        978-1470450847
        ISBN-10 1470450844
        Also in:
        Algebraic geometry

        Description

        Book Synopsis
        Provides a careful, thorough, and rigorous introduction to linear algebra. The book adopts a conceptual point of view, focusing on the notions of vector spaces and linear transformations, and it takes pains to provide proofs that bring out the essential ideas of the subject.

        Table of Contents
        • Vector spaces: The basics
        • Systems of linear equations
        • Vector spaces
        • Linear transformations
        • More on vector spaces and linear transformations
        • The determinant
        • The structure of a linear transformation
        • Jordan canonical form
        • Vector spaces with additional structure: Forms on vector spaces
        • Inner product spaces
        • Fields
        • Polynomials
        • Normed vector spaces and questions of analysis
        • A guide to further reading
        • Index.

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