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Linear Algebra Introduction to Linear Algebra by Lang

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  1. Jan 24, 2013 #1

    micromass

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    Table of Contents:
    Code (Text):

    [LIST]
    [*] Vectors
    [LIST]
    [*] Definition of Points in Space
    [*] Located Vectors
    [*] Scalar Product
    [*] The Norm of a Vector
    [*] Parametric Lines
    [*] Planes
    [/LIST]
    [*] Matrices and Linear Equations
    [LIST]
    [*] Matrices
    [*] Multiplication of Matrices
    [*] Homogeneous Linear Equations and Elimination
    [*] Row Operations and Gauss Elimination
    [*] Row Operations and Elementary Matrices
    [*] Linear Combinations
    [/LIST]
    [*] Vector Spaces
    [LIST]
    [*]  Definitions
    [*] Linear Combinations
    [*]  Convex Sets
    [*] Linear Independence
    [*] Dimension
    [*] The Rank of a Matrix
    [/LIST]
    [*] Linear Mappings
    [LIST]
    [*] Mappings
    [*] Linear Mappings
    [*] The Kernel and Image of a Linear Map
    [*] The Rank and Linear Equations Again
    [*] The Matrix Associated with a Linear Map
    [*] Appendix: Change of Bases
    [/LIST]
    [*] Composition and Inverse Mappings
    [LIST]
    [*] Composition of Linear Maps
    [*] Inverses
    [/LIST]
    [*] Scalar Products and Orthogonality
    [LIST]
    [*]  Scalar Products
    [*]  Orthogonal Bases
    [*]  Bilinear Maps and Matrices
    [/LIST]
    [*] Determinants
    [LIST]
    [*] Determinants of Order 2
    [*] The Rank of a Matrix and Subdeterminants
    [*] Cramer's Rule
    [*] Inverse of a Matrix
    [*] Determinants as Area and Volume
    [/LIST]
    [*] Eigenvectors and Eigenvalues
    [LIST]
    [*] Eigenvectors and Eigenvalues
    [*] The Characteristic Polynomial
    [*] Eigenvalues and Eigenvectors of Symmetric Matrices
    [*] Diagonalization of a Symmetric Linear Map
    [/LIST]
    [*] Appendix: Complex Numbers
    [*] Answers to Exercises
    [*] Index
    [/LIST]
     
     
    Last edited by a moderator: May 6, 2017
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  3. Jan 24, 2013 #2

    mathwonk

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    Re: Introduction to Linear Algebra

    well again i am handicapped by prior familiarity with earlier versions of these books from 40 years ago. i was originally very impressed by his book because it had chapters entitled:

    "the linear map associated to a matrix"

    and " the matrix associated to a linear map>

    only one of these seems to survive here, but i presume it is as clear as the earlier one.
     
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