Description

Book Synopsis
This two-volume set focuses on linear algebra for graduate students in mathematics, the sciences, and economics. Proofs are emphasized and the overall objective is to understand the structure of linear operators as the key to solving problems in which they arise.

Table of Contents
  • Part : Vector Spaces Over a Field $\mathbb{K}$
  • Linear Operators $T: V \to W$
  • Duality and the Dual Space $V^*$
  • Determinants
  • The Diagonalization Problem
  • Inner Product Spaces
  • Index
  • Part : Generalized Eigenspaces and the Jordon Decomposition
  • Further Applications of Jordon Form
  • Bilinear, Quadratic, and Multilinear Forms
  • Tensor Fields, Manifolds, and Vector Calculus
  • Matrix Lie Groups
  • Bibliography.

    Linear Algebra Volumes I and II The Set

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      RRP £87.00 – you save £8.70 (10%)

      Order before 4pm today for delivery by Mon 29 Jun 2026.

      A Paperback by Federick P. Greenleaf, Sophie Marques

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        Publisher: MP-AMM American Mathematical
        Publication Date: 9/30/2020 12:00:00 AM
        ISBN13: 9781470461607, 978-1470461607
        ISBN10: 1470461609

        Description

        Book Synopsis
        This two-volume set focuses on linear algebra for graduate students in mathematics, the sciences, and economics. Proofs are emphasized and the overall objective is to understand the structure of linear operators as the key to solving problems in which they arise.

        Table of Contents
        • Part : Vector Spaces Over a Field $\mathbb{K}$
        • Linear Operators $T: V \to W$
        • Duality and the Dual Space $V^*$
        • Determinants
        • The Diagonalization Problem
        • Inner Product Spaces
        • Index
        • Part : Generalized Eigenspaces and the Jordon Decomposition
        • Further Applications of Jordon Form
        • Bilinear, Quadratic, and Multilinear Forms
        • Tensor Fields, Manifolds, and Vector Calculus
        • Matrix Lie Groups
        • Bibliography.

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