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1.

図書

図書
Bernard Kolman, Robert C. Busby
出版情報: Englewood Cliffs, N.J. : Prentice-Hall, 1987  xv, 464 p. ; 24 cm
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2.

図書

図書
edited by Robert E. Beck, Bernard Kolman
出版情報: New York : Academic Press, 1977  ix, 297 p. ; 24 cm
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3.

図書

図書
edited by Robert T. Sharp, Bernard Kolman
出版情報: New York : Academic Press, 1977  xvi, 668 p. ; 24 cm
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4.

図書

図書
Johan G. F. Belinfante, Bernard Kolman
出版情報: Philadelphia : Society for Industrial and Applied Mathematics, c1972  viii,164 p. ; 25 cm
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5.

図書

図書
Bernard Kolman with the assistance of David R. Hill
出版情報: Upper Saddle River, N.J. : Prentice Hall, c1997  xvii, 608, 70, 8 p. ; 25 cm
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目次情報: 続きを見る
Introductory Linear Algebra / I:
Linear Equations and Matrices / 1:
Linear Systems
Matrices
Dot Product and Matrix Multiplication
Properties of Matrix Operations
Graph Theory (Optional)
Solutions of Linear Systems of Equations
Electrical Circuits (Optional)
Markov Chains (Optional)
The Inverse of a Matrix
Linear Economic Models (Optional)
Wavelets (Optional)
LU-Factorization (Optional)
Determinants / 2:
Definition and Properties
Cofactor Expansion and Applications
Determinants from a Computational Point of View
Vectors in R2 and R3 / 3:
Vectors in the Plane
N-Vectors
Introduction to Linear Transformations
Computer Graphics
Computer Graphics (Optional)
Cross Products in R3 (Optional)
Lines and Planes
Real Vector Spaces / 4:
Subspaces
Linear Independence
Basis and Dimension
Homogeneous Systems
The Rank of a Matrix and Applications
Coordinates and Change of Basis
Orthonormal Bases in Rn
QR-Factorization (Optional)
Orthogonal Complements
Least Squares (Optional)
Eigenvalues and Eigenvectors / 5:
Diagonalization and Similar Matrices
Diagonalization and Symmetric Matrices
Linear Transformations and Matrices / 6:
Definition and Examples
The Kernel and Range of a Linear Transformation
The Matrix of a Linear Transformation
Cumulative Review of Part I
OTHER APPLICATIONS / II:
Linear Programming / 7:
The Linear Programming Problem
Geometric Solution
The Simplex Method
Duality
The Theory of Games
Applications of Eigenvalues and Eigenvectors / 8:
The Fibonacci Sequence
Differential Equations (Calculus Required)
Dynamical Systems (Calculus Required)
Intro to Fractals
Quadratic Forms
Conic Sections
Quadric Surfaces
Introduction to MATLAB / Appendix A:
Complex Numbers / Appendix B:
Complex Numbers in Linear Algebra
Further Directions / Appendix C:
Inner Product Spaces (Calculus Required)
Composite and Invertible Linear Transformations
Answers to Odd-Numbered Exercises and Chapter Tests
Index
Introductory Linear Algebra / I:
Linear Equations and Matrices / 1:
Linear Systems
6.

図書

図書
Howard Anton, Bernard Kolman
出版情報: New York : Academic Press, c1978  xvii, 760 p. ; 24 cm
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7.

図書

図書
William F. Trench and Bernard Kolman
出版情報: New York : Academic Press, c1972  xi, 758 p. ; 25 cm
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