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1.

図書
図書
1. Precalculus (: pbk)
by W. Michael Kelley
出版情報: New York : Alpha, a member of Penguin Group (USA), c2005  xvii, 333 p. ; 24 cm
シリーズ名: The complete idiot's guide to
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目次情報: 続きを見る
A Preponderance of Prioritized Precalculus Prerequisites / Part 1：
Reviewing Numbers and Arithmetic / 1：
Equations and Inequalities / 2：
Practicing with Polynomials / 3：
Factoring Polynomials / 4：
Rational Expressions and Weird Inequalities / 5：
Functions / 6：
Nonlinear Equations and Functions / Part 2：
High-Powered Functions and Equations / 7：
Logarithmic Functions / 8：
Exponential Functions / 9：
Trigonometry / Part 3：
Tangling with Angles / 10：
Graphing Trigonometric Functions / 11：
Trigonometric Identities / 12：
Solving Trigonometric Equations / 13：
Oblique Triangle Theorems / 14：
Conic Sections / Part 4：
Parabolas and Circles / 15：
Ellipses and Hyperbolas / 16：
Matrices and a Mathematical Montage / Part 5：
Matrix Operations and Calculations / 17：
The Jagged Little Red Pill of Matrix Applications / 18：
Final Exam / 19：
Appendixes
Solutions to "You've Got Problems" Sidebars / A：
Glossary / B：
Index
A Preponderance of Prioritized Precalculus Prerequisites / Part 1：
Reviewing Numbers and Arithmetic / 1：
Equations and Inequalities / 2：
2.

図書
図書
2. Loewner's theorem on monotone matrix functions
Barry Simon
出版情報: Cham : Springer, c2019  xi, 459 p. ; 25 cm
シリーズ名: Die Grundlehren der mathematischen Wissenschaften ; v. 354
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3.

図書
図書
3. Selected nonlinear matrix equations (: pbk)
Sandra Fital-Akelbek
出版情報: Saarbrücken : VDM, c2009  vi, 130 p. ; 22 cm
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4.

図書
図書
4. 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：
5.

図書
図書
5. Matrices and compact operators
F.V. Atkinson
出版情報: New York : Academic Press, c1972  xi, 209 p. ; 24 cm
シリーズ名: Mathematics in science and engineering : a series of monographs and textbooks ; v. 82-1 . Multiparameter eigenvalue problems / [by] F.V. Atkinson ; v. 1
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6.

図書
図書
6. Large scale matrix problems
edited by Åke Björck, Robert J. Plemmons, Hans Schneider
出版情報: New York : North Holland, c1981  404 p. ; 24 cm
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7.

図書
図書
7. Factorization methods for discrete sequential estimation
Gerald J. Bierman
出版情報: New York : Academic Press, 1977  xvi, 241 p. ; 24 cm
シリーズ名: Mathematics in science and engineering : a series of monographs and textbooks ; v. 128
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8.

図書
図書
8. Matrix differential calculus with applications in statistics and econometrics
Jan R. Magnus and Heinz Neudecker
出版情報: Chichester [West Sussex] ; New York : Wiley, c1988  xvii, 393 p. ; 24 cm
シリーズ名: Wiley series in probability and mathematical statistics ; . Applied probability and statistics
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目次情報: 続きを見る
Matrices
Basic Properties of Vectors and Matrices
Kronecker Products, the Vec-Operator, and the Moore-Penrose Inverse
Miscellaneous Matrix Results
Differentials: The Theory
Mathematical Preliminaries
Differentials and Differentiability
The Second Differential
Static Optimization
Differentials: The Practice
Some Important Differentials
First-Order Differentials and Jacobian Matrices
Second-Order Differentials and Hessian Matrices
Inequalities
The Linear Model
Statistical Preliminaries
The Linear Regression Model
Further Topics in the Linear Model
Applications To Maximum Likelihood Estimation
Maximum Likelihood Estimation
Simultaneous Equations
Topics in Psychometrics
Index
Matrices
Basic Properties of Vectors and Matrices
Kronecker Products, the Vec-Operator, and the Moore-Penrose Inverse
9.

図書
図書
9. The theory of matrices in numerical analysis. Dover ed
Alston S. Householder
出版情報: New York : Dover Publications, 1975, c1964  xi, 257 p. ; 21 cm
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10.

図書
図書
10. 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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