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1.

図書
図書
1. Matrix analysis and applied linear algebra (: set ; [main] ; solutions manual)
Carl Meyer
出版情報: Philadelphia : Society for Industrial and Applied Mathematics (SIAM), c2000  2 v. ; 25 cm.
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目次情報: 続きを見る
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：
2.

図書
図書
2. Elementary linear algebra : applications version. 8th ed
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: 続きを見る
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
3.

図書
図書
3. A guide to advanced linear algebra
Steven H. Weintraub
出版情報: Washington, DC : Mathematical Association of America, c2011  xii, 251 p. ; 24 cm
シリーズ名: Mathematical Association of America guides ; no. 6
The Dolciani mathematical expositions ; no. 44
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目次情報: 続きを見る
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：
4.

図書
図書
4. Linear associative algebras
Alexander Abian
出版情報: New York : Pergamon Press, c1971  vii, 166 p. ; 24 cm
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5.

図書
図書
5. Elementary linear algebra. 2nd ed
Stanley I. Grossman
出版情報: Belmont, Calif. : Wadsworth Pub. Co., c1984  xv, 426 p. ; 24 cm
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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：
6.

図書
図書
6. Nonnegative matrices and applicable topics in linear algebra (: E. Horwood ; : Halsted Press)
Alexander Graham
出版情報: Chichester, West Sussex, England : E. Horwood , New York, NY, USA : Halsted Press [distributor], 1987  264 p. ; 25 cm
シリーズ名: Ellis Horwood series in mathematics and its applications
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7.

図書
図書
7. The algebraic eigenvalue problem
by J.H. Wilkinson
出版情報: Oxford : Clarendon Press, 1965  xviii, 662 p. ; 25 cm
シリーズ名: Monographs on numerical analysis
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8.

図書
図書
8. Linear algebra. 2nd ed
Serge Lang
出版情報: Reading ; Mass : Addison-Wesley, 1969,c1971,1972  xi, 400 p. ; 24 cm
シリーズ名: Addison-Wesley series in mathematics
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9.

図書
図書
9. A second course in linear algebra
William C. Brown
出版情報: New York : Wiley, c1988  x, 264 p. ; 24 cm
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10.

図書
図書
10. Matrix theory and applications for engineers and mathematicians (: Ellis Horwood ; : Halsted Press)
Alexander Graham
出版情報: Chichester [Eng.] : E. Horwood , New York : Halsted Press, c1979  295 p. ; 23 cm
シリーズ名: Ellis Horwood series in mathematics and its applications
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11.

図書
図書
11. Linear algebra (us ; gw)
Larry Smith
出版情報: New York : Springer-Verlag, c1978  vii, 280 p. ; 25 cm
シリーズ名: Undergraduate texts in mathematics
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12.

図書
図書
12. Linear algebra
Serge Lang
出版情報: Reading : Addison-Wesley, 1966  x, 294 p. ; 24 cm
シリーズ名: Addison-Wesley series in mathematics
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13.

図書
図書
13. The geometry of spacetime : an introduction to special and general relativity
James J. Callahan
出版情報: New York : Springer, c2000  xvi, 451 p. ; 25 cm
シリーズ名: Undergraduate texts in mathematics
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目次情報: 続きを見る
Relativity before 1905
Special relativityùkinematics
Special relativityùkinetics
Arbitrary frames
Surfaces and curvatures
Intrinsic geometry
General relativity
Consequences
Relativity before 1905
Special relativityùkinematics
Special relativityùkinetics
14.

図書
図書
14. Multivariable calculus, linear algebra, and differential equations. 2nd ed
Stanley I. Grossman
出版情報: Orlando ; Tokyo : Academic Press, c1986  xiv, 876, 92, 10 p. ; 26 cm
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15.

図書
図書
15. An introduction to wavelets through linear algebra
Michael W. Frazier
出版情報: New York ; Tokyo : Springer, c1999  xvi, 501 p. ; 25 cm
シリーズ名: Undergraduate texts in mathematics
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目次情報: 続きを見る
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
16.

図書
図書
16. Linear algebra and analysis
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.

図書
図書
17. Modern aspects of linear algebra
S.K. Godunov ; [translator, Tamara Rozhkovskaya with the participation of Scientific Books (RIMIBE NSU), Novosibirsk, Russia]
出版情報: Providence, R.I. : American Mathematical Society, c1998  xvi, 303 p. ; 27 cm
シリーズ名: Translations of mathematical monographs ; v. 175
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18.

図書
図書
18. Linear algebra
Paul C. Shields
出版情報: Reading, Mass. : Addison-Wesley Pub. Co., c1964  xii, 288 p. ; 24 cm
シリーズ名: Addison-Wesley series in mathematics / Eric Reissner, consulting editor
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19.

図書
図書
19. Linear algebra for quantum theory
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.

図書
図書
20. Linear algebra. 3rd ed
Larry Smith
出版情報: New York : Springer, c1998  xii, 452 p. ; 24 cm
シリーズ名: Undergraduate texts in mathematics
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21.

図書
図書
21. Linear algebra
Peter D. Lax
出版情報: New York : John Wiley, c1997  xiv, 250 p. ; 24 cm
シリーズ名: Pure and applied mathematics
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目次情報: 続きを見る
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
22.

図書
図書
22. A polynomial approach to linear algebra
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.

図書
図書
23. A basis for linear algebra (pbk.)
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'."
24.

図書
図書
24. Solutions manual for Lang's linear algebra
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
25.

図書
図書
25. Applied linear algebra
Riaz A. Usmani
出版情報: New York : M. Dekker, c1987  vi, 258 p. ; 24 cm
シリーズ名: Monographs and textbooks in pure and applied mathematics ; 105
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26.

図書
図書
26. Linear algebra. 2nd ed (: us ; : gw)
Larry Smith
出版情報: New York : Springer-Verlag, c1984  vii, 362 p. ; 25 cm
シリーズ名: Undergraduate texts in mathematics
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27.

図書
図書
27. Linear algebra (: pbk)
Serge Lang
出版情報: Reading, Mass. : Addison-Wesley, 1966  x, 294 p. ; 21 cm
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28.

図書
図書
28. Fundamentals of linear algebra
Katsumi Nomizu
出版情報: New York : McGraw-Hill, [c1966]  x, 325 p. ; 24 cm
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29.

図書
図書
29. Advanced linear algebra (: us ; : gw)
Steven Roman
出版情報: New York ; Tokyo : Springer-Verlag, c1992  xii, 363 p. ; 25 cm
シリーズ名: Graduate texts in mathematics ; 135
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30.

図書
図書
30. Multivariable mathematics : linear algebra, differential equations, calculus
[by] Richard E. Williamson [and] Hale F. Trotter
出版情報: Englewood Cliffs, N.J. : Prentice-Hall, [1974]  ix, 630 p. ; 25 cm
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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
31.

図書
図書
31. Geometry and combinatorics : selected works of J.J. Seidel
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.

図書
図書
32. Linear algebra and matrix theory
Evar D. Nering
出版情報: New York : J. Wiley, [1963]  289 p. ; 24 cm
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33.

図書
図書
33. Linear algebra through geometry. 2nd ed (: us ; : gw)
Thomas Banchoff, John Wermer
出版情報: New York ; Tokyo : Springer-Verlag, c1992  xii, 305 p. ; 25 cm
シリーズ名: Undergraduate texts in mathematics
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34.

図書
図書
34. Matrices and vector spaces
William C. Brown
出版情報: New York : M. Dekker, c1991  viii, 309 p. ; 24 cm
シリーズ名: Monographs and textbooks in pure and applied mathematics ; 145
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35.

図書
図書
35. Linear algebra
Paul C. Shields
出版情報: Reading, Mass. : Addison-Wesley, 1965, c1964  xii, 288 p. ; 22 cm
シリーズ名: Addison-Wesley series in mathematics
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36.

図書
図書
36. Linear algebra. 3rd ed
[by] W.H. Greub
出版情報: Berlin ; New York : Springer, 1967  xiv, 434 p. ; 24 cm
シリーズ名: Die Grundlehren der mathematischen Wissenschaften ; Bd. 97
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37.

図書
図書
37. A geometric introduction to linear algebra. 2nd ed.
Daniel Pedoe
出版情報: Bronx, N.Y. : Chelsea Pub. Co., c1976  xi, 226 p. ; 24 cm
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38.

図書
図書
38. Calculus : with analytic geometry and linear algebra
Leopoldo V. Toralballa
出版情報: New York : Academic Press, c1967  xv, 920 p. ; 25 cm
シリーズ名: Academic Press textbooks in mathematics
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39.

図書
図書
39. Module theory : an approach to linear algebra. 2nd ed (pbk.)
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：
40.

図書
図書
40. Linear algebra. 2nd ed
Kenneth Hoffman, Ray Kunze
出版情報: Englewood Cliffs, N.J. : Prentice-Hall, c1971  viii, 407 p. ; 25 cm
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目次情報: 続きを見る
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：
41.

図書
図書
41. Vectors in the plane and one-variable calculus
[by] Wilfred Kaplan, Donald J. Lewis
出版情報: New York : Wiley, c1970  xiv, 640 p. ; 25 cm
シリーズ名: Calculus and linear algebra ; v. 1
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42.

図書
図書
42. Principles of linear algebra (: pbk.)
[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.

図書
図書
43. Linear algebra and matrix theory. 2nd ed
[by] Evar D. Nering
出版情報: New York : Wiley, c1970  xii, 352 p. ; 23 cm
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目次情報: 続きを見る
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
44.

図書
図書
44. Linear algebra with differential equations
by Sze-Tzen Hu
出版情報: Chicago : Markham Pub. Co, c1971  xiii, 374 p. ; 24 cm
シリーズ名: Markham mathematics series
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45.

図書
図書
45. A course in linear algebra
Gareth, Williams
出版情報: New York : Gordon and Breach Science, c1972  xi, 204 p ; 24 cm
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46.

図書
図書
46. Applied linear algebra
Ben Noble
出版情報: Englewood Cliffs, N.J. : Prentice-Hall, c1969  xvi, 523 p. ; 25 cm
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47.

図書
図書
47. Linear algebra
[by] George D. Mostow [and] Joseph H. Sampson
出版情報: New York : McGraw-Hill, [1969]  x, 296 p ; 23 cm
シリーズ名: International series in pure and applied mathematics
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48.

図書
図書
48. Topological geometry
Ian R. Porteous
出版情報: London ; New York : Van Nostrand Reinhold, 1969  vii, 457 p. ; 24 cm
シリーズ名: The New university mathematics series
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49.

図書
図書
49. Exterior forms and their applications
Władysław Ślebodziński ; Rev. translation from the French, [translated by Abraham Goetz]
出版情報: Warszawa : [Polish Scientific Publishers], 1970  427 p.br 25 cm
シリーズ名: Monografie matematyczne ; t. 52
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50.

図書
図書
50. Linear algebra
[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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