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Linear Algebra Linear Algebra by Hoffman and Kunze

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  1. Jan 24, 2013 #1

    micromass

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    Table of Contents:
    Code (Text):

    [LIST]
    [*] Linear Equations
    [LIST]
    [*] Fields
    [*] Systems of Linear Equations
    [*] Matrices and Elementary Row Operations
    [*] Row-Reduced Echelon Matrices
    [*] Matrix Multiplication
    [*] Invertible Matrices
    [/LIST]
    [*] Vector Spaces
    [LIST]
    [*] Vector Spaces
    [*] Subspaces
    [*] Bases and Dimension
    [*] Coordinates
    [*] Summary of Row-Equivalence
    [*] Computations Concerning Subspaces
    [/LIST]
    [*] Linear Transformations
    [LIST]
    [*] Linear Transformations
    [*] The Algebra of Linear Transformations
    [*] Isomorphism
    [*] Representation of Transformations by Matrices
    [*] Linear Functionals
    [*] The Double Dual
    [*] The Transpose of a Linear Transformation
    [/LIST]
    [*] Polynomials
    [LIST]
    [*] Algebras
    [*] The Algebra of Polynomials
    [*] Lagrange Interpolation
    [*] Polynomial Ideals
    [*] The Prime Factorization of a Polynomial
    [/LIST]
    [*] Determinants
    [LIST]
    [*] Commutative Rings
    [*] Determinant Functions
    [*] Permutation and the Uniqueness of Determinants
    [*] Additional Properties of Determinants
    [*] Modules
    [*] Multilinear Functions
    [*] The Grassman Ring
    [/LIST]
    [*] Elementary Canonical Forms
    [LIST]
    [*] Introduction
    [*] Characteristic Values
    [*] Annihilating Polynomials
    [*] Invariant Subspaces
    [*] Simultaneous Triangulation; Simultaneaous Diagonalization
    [*] Direct-Sum Decompositions
    [*] Invariant Direct sums
    [*] The Primary Decomposition Theorem
    [/LIST]
    [*] The Rational and Jordan Forms
    [LIST]
    [*] Cyclic Subspaces and Annihilators
    [*] Cyclic Decompositions and the Rational Form
    [*] The Jordan Form
    [*] Computation of Invariant Factors
    [*] Summary; Semi-Simple Operators
    [/LIST]
    [*] Inner Product Spaces
    [LIST]
    [*] Inner Products
    [*] Inner Product Spaces
    [*] Linear Functionals and Adjoints
    [*] Unitary Operators
    [*] Normal Operators
    [/LIST]
    [*] Operators on Inner Product Spaces
    [LIST]
    [*] Introduction
    [*] Forms on Inner Product Spaces
    [*] Positive Forms
    [*] More on Forms
    [*] Spectral Theory
    [*] Further Properties of Normal Operators
    [/LIST]
    [*] Bilinear Forms
    [LIST]
    [*] Bilinear Forms
    [*] Symmetric Bilinear Forms
    [*] Skew-Symmetric Bilinear Forms
    [*] Groups Preserving Bilinear Forms
    [/LIST]
    [*] Appendix
    [LIST]
    [*] Sets
    [*] Functions
    [*] Equivalence Relations
    [*] Quotient Spaces
    [*] Equivalence Relations in Linear Algebra
    [*] The Axiom of Choice
    [/LIST]
    [*] Bibliography
    [*] Index
    [/LIST]
     
     
    Last edited by a moderator: May 6, 2017
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