1.
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図書
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Carl Meyer
出版情報: |
Philadelphia : Society for Industrial and Applied Mathematics (SIAM), c2000 2 v. ; 25 cm. |
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Preface |
Linear Equations / 1.: |
Introduction / 1.1: |
Gaussian Elimination and Matrices / 1.2: |
Gauss-Jordan Method / 1.3: |
Two-Point Boundary Value Problems / 1.4: |
Making Gaussian Elimination Work / 1.5: |
Ill-Conditioned Systems / 1.6: |
Rectangular Systems and Echelon Forms / 2.: |
Row Echelon Form and Rank / 2.1: |
Reduced Row Echelon Form / 2.2: |
Consistency of Linear Systems / 2.3: |
Homogeneous Systems / 2.4: |
Nonhomogeneous Systems / 2.5: |
Electrical Circuits / 2.6: |
Matrix Algebra / 3.: |
From Ancient China to Arthur Cayley / 3.1: |
Addition and Transposition / 3.2: |
Linearity / 3.3: |
Why Do It This Way / 3.4: |
Matrix Multiplication / 3.5: |
Properties of Matrix Multiplication / 3.6: |
Matrix Inversion / 3.7: |
Inverses of Sums and Sensitivity / 3.8: |
Elementary Matrices and Equivalence / 3.9: |
The LU Factorization / 3.10: |
Vector Spaces / 4.: |
Spaces and Subspaces / 4.1: |
Four Fundamental Subspaces / 4.2: |
Linear Independence / 4.3: |
Basis and Dimension / 4.4: |
More about Rank / 4.5: |
Classical Least Squares / 4.6: |
Linear Transformations / 4.7: |
Change of Basis and Similarity / 4.8: |
Invariant Subspaces / 4.9: |
Norms, Inner Products, and Orthogonality / 5.: |
Vector Norms / 5.1: |
Matrix Norms / 5.2: |
Inner-Product Spaces / 5.3: |
Orthogonal Vectors / 5.4: |
Gram-Schmidt Procedure / 5.5: |
Unitary and Orthogonal Matrices / 5.6: |
Orthogonal Reduction / 5.7: |
Discrete Fourier Transform / 5.8: |
Complementary Subspaces / 5.9: |
Range-Nullspace Decomposition / 5.10: |
Orthogonal Decomposition / 5.11: |
Singular Value Decomposition / 5.12: |
Orthogonal Projection / 5.13: |
Why Least Squares? / 5.14: |
Angles between Subspaces / 5.15: |
Determinants / 6.: |
Additional Properties of Determinants / 6.1: |
Eigenvalues and Eigenvectors / 7.: |
Elementary Properties of Eigensystems / 7.1: |
Diagonalization by Similarity Transformations / 7.2: |
Functions of Diagonalizable Matrices / 7.3: |
Systems of Differential Equations / 7.4: |
Normal Matrices / 7.5: |
Positive Definite Matrices / 7.6: |
Nilpotent Matrices and Jordan Structure / 7.7: |
Jordan Form / 7.8: |
Functions of Nondiagonalizable Matrices / 7.9: |
Difference Equations, Limits, and Summability / 7.10: |
Minimum Polynomials and Krylov Methods / 7.11: |
Perron-Frobenius Theory / 8.: |
Positive Matrices / 8.1: |
Nonnegative Matrices / 8.3: |
Stochastic Matrices and Markov Chains / 8.4: |
Index |
Preface |
Linear Equations / 1.: |
Introduction / 1.1: |
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2.
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図書
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Howard Anton, Chris Rorres
出版情報: |
New York : John Wiley, c2000 xvi, [8], 822 p. ; 27 cm |
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目次情報:
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Systems of Linear Equations and Matrices |
Note: All relevant chapters end with Supplementary Exercises. |
Determinants |
Vectors in 2-Space and 3-Space / 1: |
Linear Equations and Matrices |
Euclidean Vector Spaces |
Systems of Linear Equations |
General Vector Spaces |
Matrices |
Inner Product Spaces |
Matrix Multiplication |
Eigenvalues, Eigenvectors |
Algebraic Properties of Matrix Operations |
Linear Transformations |
Special Types of Matrices and Partitioned Matrices |
Additional Topics |
Matrix Transformations |
Complex Vector Spaces |
Computer Graphics |
Answers to Exercises |
Correlation Coefficient (Optional) |
Photo Credits |
Index / 2: |
Solving Linear Systems |
Echelon Form of a Matrix |
Elementary Matrices: Finding A-1 |
Equivalent Matrices |
LU-Factorization (Optional) |
Real Vector Spaces / 3: |
Vectors in the Plane and in 3-space |
Vector Spaces |
Subspaces |
Span and Linear Independence |
Basis and Dimension |
Homogeneous Systems |
Coordinates and Isomorphisms |
Rank of a Matrix |
Standard Inner Product on R2 and R3 / 4: |
Cross Product in R3 (Optional) |
Gram-Schmidt Process |
Orthogonal Complements |
Least Squares (Optional) |
Linear Transformations and Matrices / 5: |
Definition and Examples |
Kernel and Range of a Linear Transformation |
Matrix of a Linear Transformation |
Vector Space of Matrices and Vector Space of Linear Transformations (Optional) |
Similarity |
Inroduction to Homogeneous Coordinates (Optional) |
Definition / 6: |
Properties of Determinants |
Cofactor Expansion |
Inverse of a Matrix |
Other Applications of Determinants |
Determinants from a Computational Point of View |
Eigenvalues and Eigenvectors / 7: |
Diagonalization and Similar Matrices |
Stable Age Distribution in a Population |
Markov Processes (Optional) |
Diagonalization of Symmetric Matrices |
Spectral Decomposition and Singular Value Decomposition (Optional) |
Real Quadratic Forms |
Conic Sections |
Quadric Surfaces |
Dominant Eigenvalue and Principal Component Analysis (Optional) |
Differential Equations (Optional) / 8: |
Differential Equations |
Dynamical Systems |
MATLAB for Linear Algebra / 9: |
Input and Output in MATLAB |
Matrix Operations in MATLAB |
Matrix Powers and Some Special Matrices |
Elementary Row Operations in MATLAB |
Matrix Inverses in MATLAB |
Vectors in MATLAB |
Applications of Linear Combinations in MATLAB |
Linear Transformations in MATLAB |
MATLAB Command Summary |
MATLAB Exercises / 10: |
Preliminaries Sets Functions / Appendix A: |
Complex Numbers Complex Numbers Complex Numbers in Linear Algebra / Appendix B: |
Introduction to Proofs / Appendix C: |
Answers to Odd-Numbered Exercises |
Systems of Linear Equations and Matrices |
Note: All relevant chapters end with Supplementary Exercises. |
Determinants |
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3.
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図書
|
Steven H. Weintraub
目次情報:
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Preface |
Vector spaces and linear transformations / 1: |
Coordinates / 2: |
Determinants / 3: |
The structure of a linear transformation I / 4: |
The structure of a linear transformation II / 5: |
Bilinear, sesquilinear, and quadratic forms / 6: |
Real and complex inner product spaces / 7: |
Matrix groups as Lie groups / 8: |
Polynomials / A: |
Basic properties / A.1: |
Unique factorization / A.2: |
Polynomials as expressions and polynomials as functions / A.3: |
Modules over principal ideal domains / B: |
Definitions and structure theorems / B.1: |
Derivation of canonical forms / B.2: |
Bibliography |
Index |
Preface |
Vector spaces and linear transformations / 1: |
Coordinates / 2: |
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4.
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図書
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Alexander Abian
出版情報: |
New York : Pergamon Press, c1971 vii, 166 p. ; 24 cm |
子書誌情報: |
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5.
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図書
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Stanley I. Grossman
出版情報: |
Belmont, Calif. : Wadsworth Pub. Co., c1984 xv, 426 p. ; 24 cm |
子書誌情報: |
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Systems of Linear Equations and Matrices / 1: |
Determinants / 2: |
Vectors in R2 and R3 / 3: |
Vector Spaces / 4: |
Linear Transformations / 5: |
Eigenvalues, Eigenvesors, And Canonical Forms / 6: |
Mathematical Induction / Appendix 1: |
Complex Numbers / Appendix 2: |
The Error in Numerical Computations and Computational Complexity / Appendix 3: |
Gaussian Elimination with Pivoting / Appendix 4: |
Using MATLAB. / Appendix 5: |
Systems of Linear Equations and Matrices / 1: |
Determinants / 2: |
Vectors in R2 and R3 / 3: |
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6.
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図書
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Alexander Graham
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7.
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図書
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by J.H. Wilkinson
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8.
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図書
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Serge Lang
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9.
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図書
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William C. Brown
出版情報: |
New York : Wiley, c1988 x, 264 p. ; 24 cm |
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10.
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図書
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Alexander Graham
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11.
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図書
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Larry Smith
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12.
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図書
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Serge Lang
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13.
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図書
|
James J. Callahan
目次情報:
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Relativity before 1905 |
Special relativityùkinematics |
Special relativityùkinetics |
Arbitrary frames |
Surfaces and curvatures |
Intrinsic geometry |
General relativity |
Consequences |
Relativity before 1905 |
Special relativityùkinematics |
Special relativityùkinetics |
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14.
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図書
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Stanley I. Grossman
出版情報: |
Orlando ; Tokyo : Academic Press, c1986 xiv, 876, 92, 10 p. ; 26 cm |
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15.
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図書
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Michael W. Frazier
目次情報:
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Preface |
Acknowledgments |
Prologue: Compression of the FBI Fingerprint Files |
Background: Complex Numbers and Linear Algebra / 1: |
Real Numbers and Complex Numbers / 1.1: |
Complex Series, Euler's Formula, and the Roots of Unity / 1.2: |
Vector Spaces and Bases / 1.3: |
Linear Transformations, Matrices, and Change of Basis / 1.4: |
Diagonalization of Linear Transformations and Matrices / 1.5: |
Inner Products, Orthonormal Bases, and Unitary Matrices / 1.6: |
The Discrete Fourier Transform / 2: |
Basic Properties of the Discrete Fourier Transform / 2.1: |
Translation-Invariant Linear Transformations / 2.2: |
The Fast Fourier Transform / 2.3: |
Wavelets on $bZ_N$ / 3: |
Construction of Wavelets on $bZ_N$: The First Stage / 3.1: |
Construction of Wavelets on $bZ_N$: The Iteration Step / 3.2: |
Examples and Applications / 3.3: |
Wavelets on $bZ$ / 4: |
$ ell ^2(bZ)$ / 4.1: |
Complete Orthonormal Sets in Hilbert Spaces / 4.2: |
$L^2([- pi , pi ))$ and Fourier Series / 4.3: |
The Fourier Transform and Convolution on $ ell ^2(bZ)$ / 4.4: |
First-Stage Wavelets on $bZ$ / 4.5: |
The Iteration Step for Wavelets on $bZ$ / 4.6: |
Implementation and Examples / 4.7: |
Wavelets on $bR$ / 5: |
$L^2(bR)$ and Approximate Identities / 5.1: |
The Fourier Transform on $bR$ / 5.2: |
Multiresolution Analysis and Wavelets / 5.3: |
Construction of Multiresolution Analyses / 5.4: |
Wavelets with Compact Support and Their Computation / 5.5: |
Wavelets and Differential Equations / 6: |
The Condition Number of a Matrix / 6.1: |
Finite Difference Methods for Differential Equations / 6.2: |
Wavelet-Galerkin Methods for Differential Equations / 6.3: |
Bibliography |
Index |
Preface |
Acknowledgments |
Prologue: Compression of the FBI Fingerprint Files |
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16.
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図書
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André Lichnerowicz ; translated by Alison Johnson
出版情報: |
San Francisco : Holden-Day, c1967 xv, 304 p. ; 24 cm |
シリーズ名: |
The Mathesis series |
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17.
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図書
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S.K. Godunov ; [translator, Tamara Rozhkovskaya with the participation of Scientific Books (RIMIBE NSU), Novosibirsk, Russia]
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18.
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図書
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Paul C. Shields
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19.
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図書
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Per-Olov Löwdin and Quantum Theory Project, University of Florida
出版情報: |
New York : John Wiley & Sons, c1998 xi, 458 p. ; 25 cm |
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20.
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図書
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Larry Smith
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21.
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図書
|
Peter D. Lax
目次情報:
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Fundamentals |
Duality |
Linear Mappings |
Matrices |
Determinant and Trace |
Spectral Theory |
Euclidean Structure |
Spectral Theory of Selfadjoint Mappings |
Calculus of Vector and Matrix Valued Functions |
Matrix Inequalities |
Kinematics and Dynamics |
Convexity |
The Duality Theorem |
Normed Linear Spaces |
Linear Mappings Between Normed Spaces |
Positive Matrices |
How to Solve Systems of Linear Equations |
Appendices |
Bibliography |
Index |
List of Series Titles |
Fundamentals |
Duality |
Linear Mappings |
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22.
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図書
|
Paul A. Fuhrmann
出版情報: |
New York ; Tokyo : Springer, c1996 xiii, 360 p. ; 24 cm |
シリーズ名: |
Universitext |
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23.
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図書
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Warren Brisley
出版情報: |
Sydney ; New York : J. Wiley & Sons Australasia, [1973] vi, 189 p ; 25 cm |
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Inspiration |
Sisters in Charge |
"The Child That Be Talkin'." |
I Can Tell You the Exact Moment |
Coming of Age |
A Hard Road Up |
Leap to the Top |
"Mama Never Said There'd Be Days Like This." |
We've Come This Far by Faith |
Sister Power |
Coming Full Circle: Messages to Our Sisters |
Selected Bibliography |
Index |
Inspiration |
Sisters in Charge |
"The Child That Be Talkin'." |
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24.
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図書
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Rami Shakarchi
出版情報: |
New York ; Tokyo : Springer-Verlag, c1996 xi, 183 p. ; 24 cm |
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Vector Spaces |
Matrices |
Linear Mappings |
Linear Maps and Matrices |
Scalar Products and Orthogonality |
Determinants |
Symmetric, Hermitian, and Unitary Operators |
Eigenvectors and Eigenvalues |
Polynomials and Matrices |
Triangulation of Matrices and Linear Maps |
Polynomials and Primary Decomposition |
Convex Sets |
Vector Spaces |
Matrices |
Linear Mappings |
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25.
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図書
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Riaz A. Usmani
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26.
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図書
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Larry Smith
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27.
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図書
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Serge Lang
出版情報: |
Reading, Mass. : Addison-Wesley, 1966 x, 294 p. ; 21 cm |
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28.
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図書
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Katsumi Nomizu
出版情報: |
New York : McGraw-Hill, [c1966] x, 325 p. ; 24 cm |
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29.
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図書
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Steven Roman
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30.
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図書
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[by] Richard E. Williamson [and] Hale F. Trotter
出版情報: |
Englewood Cliffs, N.J. : Prentice-Hall, [1974] ix, 630 p. ; 25 cm |
子書誌情報: |
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目次情報:
04104-08 Trade Math One (20 Hours) |
Builds on trainees' basic math skills to solve trade-reproblems |
Covers calculations using denomiand volume calculations, English-metric system conversbasic geometry, and calculation of stretchouts |
04104-08 Trade Math One (20 Hours) |
Builds on trainees' basic math skills to solve trade-reproblems |
Covers calculations using denomiand volume calculations, English-metric system conversbasic geometry, and calculation of stretchouts |
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31.
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図書
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edited by D.G. Corneil and R. Mathon
出版情報: |
Boston ; Tokyo : Academic Press, c1991 xix, 410 p. ; 24 cm |
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32.
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図書
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Evar D. Nering
出版情報: |
New York : J. Wiley, [1963] 289 p. ; 24 cm |
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33.
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図書
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Thomas Banchoff, John Wermer
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34.
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図書
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William C. Brown
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35.
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図書
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Paul C. Shields
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36.
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図書
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[by] W.H. Greub
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37.
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図書
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Daniel Pedoe
出版情報: |
Bronx, N.Y. : Chelsea Pub. Co., c1976 xi, 226 p. ; 24 cm |
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38.
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図書
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Leopoldo V. Toralballa
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39.
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図書
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T.S. Blyth
出版情報: |
Oxford [England] : Clarendon Press , New York : Oxford University Press, 1990 vi, 360 p. ; 24 cm |
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Modules, Vector Spaces and Algebras / 1: |
Submodules; Intersections and Sums / 2: |
Morphisms; Exact Sequences / 3: |
Quotient Modules; Basic Isomorphism Theorems / 4: |
Chain Conditions; Jordan-Holder Towers / 5: |
Products and Coproducts / 6: |
Free Modules; Bases / 7: |
Groups of Morphisms; Projective Modules / 8: |
Duality; Transposition / 9: |
Matrices; Linear Equations / 10: |
Inner Product Spaces / 11: |
Injective Modules / 12: |
Simple and Semisimple Modules / 13: |
The Jacobson Radical / 14: |
Tensor Products; Flat Modules; Regular Rings / 15: |
Tensor Products; Tensor Algebras / 16: |
Exterior Algebras, Determinants / 17: |
Modules Over A Principal Ideal Domain; Finitely Generated Abelian Groups / 18: |
Vector Space Decomposition Theorems; Canonical Forms Under Similarity / 19: |
Diagonalisation; Normal Transformations / 20: |
Modules, Vector Spaces and Algebras / 1: |
Submodules; Intersections and Sums / 2: |
Morphisms; Exact Sequences / 3: |
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40.
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図書
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Kenneth Hoffman, Ray Kunze
出版情報: |
Englewood Cliffs, N.J. : Prentice-Hall, c1971 viii, 407 p. ; 25 cm |
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Linear Equations / 1: |
Vector Spaces / 2: |
Linear Transformations / 3: |
Polynomials / 4: |
Determinants / 5: |
Elementary canonical Forms / 6: |
Rational and Jordan Forms / 7: |
Inner Product Spaces / 8: |
Operators on Inner Product Spaces / 9: |
Bilinear Forms / 10: |
Appendix |
Linear Equations / 1: |
Vector Spaces / 2: |
Linear Transformations / 3: |
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41.
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図書
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[by] Wilfred Kaplan, Donald J. Lewis
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42.
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図書
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[by] J. Larrieu ; translated from the French by Marina Smith-Kok
出版情報: |
New York : Gordon and Breach, [1972] 273 p. ; 24 cm |
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43.
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図書
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[by] Evar D. Nering
出版情報: |
New York : Wiley, c1970 xii, 352 p. ; 23 cm |
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Introduction |
Vector Spaces |
Linear Transformations and Matrics |
Determinants, Eigenvalues, and Similarity Transformations |
Linear Functionals, Bilinear Forms, Quadratic Forms |
Orthogonal and Unitary Transformations, Normal Matrices |
Selected Applications of Linear Algebra |
Appendix |
Answers to Selected Exercises |
Introduction |
Vector Spaces |
Linear Transformations and Matrics |
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44.
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図書
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by Sze-Tzen Hu
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45.
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図書
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Gareth, Williams
出版情報: |
New York : Gordon and Breach Science, c1972 xi, 204 p ; 24 cm |
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46.
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図書
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Ben Noble
出版情報: |
Englewood Cliffs, N.J. : Prentice-Hall, c1969 xvi, 523 p. ; 25 cm |
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47.
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図書
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[by] George D. Mostow [and] Joseph H. Sampson
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48.
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図書
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Ian R. Porteous
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49.
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図書
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Władysław Ślebodziński ; Rev. translation from the French, [translated by Abraham Goetz]
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50.
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図書
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[by] R.R. Stoll and E.T. Wong
出版情報: |
New York : Academic Press, [1968] x, 326 p. ; 24 cm |
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