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1.

図書

図書
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
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
Sandra Fital-Akelbek
出版情報: Saarbrücken : VDM, c2009  vi, 130 p. ; 22 cm
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4.

図書

図書
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
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
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
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
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
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
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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11.

図書

図書
A.R. Collar and A. Simpson
出版情報: Chichester [West Sussex] : E. Horwood , New York : Halsted Press, 1987  541 p. ; 25 cm
シリーズ名: Ellis Horwood series in mechanical engineering
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12.

図書

図書
Richard Bronson
出版情報: New York : Academic Press, [c1969], 1971  xiii, 284 p ; 24 cm
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13.

図書

図書
K. Clancey, I. Goherg
出版情報: Basel ; Boston : Birkhäuser Verlag, 1981  x, 234 p. ; 25 cm
シリーズ名: Operator theory, advances and applications ; v. 3
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14.

図書

図書
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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15.

図書

図書
Ivo Marek, Karel Žitný
出版情報: Leipzig : B.G. Teubner, c1983-1986  2 v. ; 21 cm
シリーズ名: Teubner-Texte zur Mathematik ; Bd. 60, 84
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16.

図書

図書
Hansraj Gupta
出版情報: New Delhi : South Asian Publishers, c1985  ix, 192 p. ; 22 cm
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17.

図書

図書
H. Baumgärtel
出版情報: Basel ; Boston : Birkhäuser Verlag, 1985, c1984  427 p. ; 25 cm
シリーズ名: Operator theory : advances and applications ; v. 15
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18.

図書

図書
Nazakat Ullah
出版情報: Oxford [Oxfordshire] : Clarendon Press , New York : Oxford University Press, 1987  ix, 140 p. ; 24 cm
シリーズ名: Oxford studies in nuclear physics
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目次情報: 続きを見る
Statistical Aspects of the Many-Body Problem / 1:
Collective Rotational Parameters of Nuclei / 2:
Vibrational Nuclei / 3:
Transition Region in Heavy Nuclei / 4:
Symmetry Mixing / 5:
Anticorrelation in Many-Body Systems / 6:
Approximate Evaluation of Physical Quantities / 7:
Correlations Between the Parameters of the S-Matrix / 8:
Highly Convergent Expansion of the Rayleigh-Schrodinger Pertubation Series / 9:
Application of Grassman Integration in Matrix Ensembles Theory / 10:
Averages Over the Space of Complex Orthogonal Matrices / 11:
Configuration Interaction Problems / 12:
Statistical Aspects of the Many-Body Problem / 1:
Collective Rotational Parameters of Nuclei / 2:
Vibrational Nuclei / 3:
19.

図書

図書
N.V. Yefimov ; translated and edited by A. Shenitzer
出版情報: New York : Academic Press, c1964  ix, 164 p. ; 21 cm
シリーズ名: Academic paperbacks ; Mathematics
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20.

図書

図書
Jan R. Magnus and Heinz Neudecker
出版情報: Chichester ; New York : Wiley, c1999  xviii, 395 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: 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
Matrices: Basic Properties of Vectors and Matrices
Kronecker Products, the Vec Operator and the Moore-Penrose Inverse
Miscellaneous Matrix Results
21.

図書

図書
A.M. Mathai
出版情報: Singapore ; New Jersey : World Scientific, c1997  xii, 435 p. ; 23 cm
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22.

図書

図書
edited by I. Gohberg
出版情報: Basel ; Boston : Birkhäuser Verlag, 1988  ix, 247 p. ; 24 cm
シリーズ名: Operator theory : advances and applications ; v. 33
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23.

図書

図書
Richard A. Brualdi, Bryan L. Shader
出版情報: Cambridge [England] ; New York : Cambridge University Press, 1995  xii, 298 p. ; 24 cm
シリーズ名: Cambridge tracts in mathematics ; 116
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目次情報: 続きを見る
Sign-solvability / 1:
L-matrices / 2:
Sign-solvability and digraphs / 3:
S-matrices / 4:
Beyond S*-matrices / 5:
SNS-matrices / 6:
S2NS-matrices / 7:
External properties of L-Matrices / 8:
The inverse sign pattern graph / 9:
Sign stability / 10:
Related topics / 11:
Sign-solvability / 1:
L-matrices / 2:
Sign-solvability and digraphs / 3:
24.

図書

図書
edited by Srinivas R. Chakravarthy, Attahiru S. Alfa
出版情報: New York : Marcel Dekker, c1997  xi, 375 p. ; 26 cm
シリーズ名: Lecture notes in pure and applied mathematics ; v. 183
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The Marcovian arrival process: some future directions
an algorithm for the P(n,t) matrices of a continuous BMAP
a pre-emptive priority Queue with non-renewal inputs
analysis of a multiserver delay-loss system with a general Markovian arrival process
analysis of a finite capacity multi-server Queue with non-preemptive priorities and non-renewal input
matrix-multiplicative approach to quasi-birth-and-death processes
a level crossing analysis in the MAP/G/1 Queue
performance
The Marcovian arrival process: some future directions
an algorithm for the P(n,t) matrices of a continuous BMAP
a pre-emptive priority Queue with non-renewal inputs
25.

図書

図書
Marcel F. Neuts
出版情報: Baltimore : Johns Hopkins University Press, c1981  xiii, 332 p. ; 24 cm
シリーズ名: Johns Hopkins series in the mathematical sciences ; v. 2
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26.

図書

図書
I. Gohberg, P. Lancaster, L. Rodman
出版情報: New York : Wiley, c1986  xv, 692 p. ; 24 cm
シリーズ名: Canadian Mathematical Society series of monographs and advanced texts
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27.

図書

図書
T. Crouch
出版情報: Oxford ; New York : Pergamon Press, 1981  xviii, 339 p. ; 26 cm
シリーズ名: Pergamon international library of science, technology, engineering and social studies
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28.

図書

図書
[by] Arthur S. Hall [and] Ronald W. Woodhead
出版情報: New York : Wiley, [1967]  xvi, 329 p. ; 24 cm
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29.

図書

図書
Richard S. Varga
出版情報: Englewood Cliffs, N.J. : Prentice-Hall , Tokyo : Maruzen, 1964, c1962  xiii, 322 p. ; 22 cm
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30.

図書

図書
Franz E. Hohn
出版情報: New York : Macmillan, c1964  xiv, 395 p. ; 24 cm
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31.

図書

図書
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
by F. Bowman
出版情報: London : English Universities Press, c1962  ix, 163 p. ; 23 cm
シリーズ名: Applied mathematics series
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33.

図書

図書
Robert M. Thrall and Leonard Tornheim
出版情報: New York : J. Wiley, [1957]  318 p. ; 24 cm
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34.

図書

図書
J.S. Lomont
出版情報: New York : Academic Press, 1959  xi, 346 p. ; 24 cm
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35.

図書

図書
by Thomas L. Wada
出版情報: Cambridge, Mass. : Addison-Wesley Press, 1951  ix, 189 p ; 22 cm
シリーズ名: Addison-Wesley mathematics series
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36.

図書

図書
Homer E. Brown
出版情報: New York : John Wiley, c1975  xiii, 258 p. ; 24 cm
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37.

図書

図書
[by] Alston S. Householder
出版情報: New York : Blaisdell Pub., c1964  xi, 257 p. ; 24 cm
シリーズ名: Introductions to higher mathematics
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38.

図書

図書
K. Huseyin
出版情報: Alphen Aan Den Rijn : The Neth. : Noordhoff International Publishing, c1978  x, 216 p. ; 23 cm
シリーズ名: Monographs and textbooks on mechanics of solids and fluids ; 6
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39.

図書

図書
Roger A. Horn, Charles R. Johnson
出版情報: Cambridge [Cambridgeshire] ; New York : Cambridge University Press, 1991  viii, 607 p. ; 24 cm
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目次情報: 続きを見る
The field of values / 1:
Stable matrices and inertia / 2:
Singular value inequalities / 3:
Matrix equations and Kronecker products / 4:
Hadamard products / 5:
Matrices and functions / 6:
Totally positive matrices / 7:
The field of values / 1:
Stable matrices and inertia / 2:
Singular value inequalities / 3:
40.

図書

図書
Richard Bronson
出版情報: Boston : Academic Press, c1991  xiii, 503 p. ; 25 cm
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目次情報: 続きを見る
Matrices.
Basic Concepts
Operations
Matrix Multiplication
Special Matrices
Submatrices and Partitioning
Vectors
The Geometry of Vectors
Simultaneous Linear Equations: Linear Systems
Solutions by Substitution
Gaussian Elimination
Pivoting Strategies
Linear Independence
Rank
Theory of Solutions
Appendix
The Inverse: Introduction
Calculating Inverses
Simultaneous Equations. Properties of the Inverse
LU Decomposition
Determinants. Expansion by Confactors
Properties of Determinants
Pivotal Condensation
Inversion
Cramer's Rule
Eigenvalues and Eigenvectors. Definitions
Eigenvalues
Eigenvectors
Properties of Eigenvalues and Eigenvectors
Linearly Independent Eigenvectors
Power Methods
Real Inner Products. Introduction
Orthonormal Vectors
Projections and QRndash;Decompostions
The QRndash;Algorithm
Least*b1Squares
Matrix Calculus. Well-Defined Functions
Cayley-Hamilton Theorem
Polynomials of Matrices--Distinct Eigenvalues
Polynomials of Matrices--General Case
Fuctions of a Matrix
The Function eAt
Complex Eigenvalues
Properties of eA
Derivatives of a Matrix
Linear Differential Equations. Fundamental Form
Reduction of an nth Order Equation
Reduction of a System
Solutions of Systems with Constant Coefficients
Solutions of Systems--General Case
Jordan Canonical Forms. Similar Matrices
Diagonalizable Matrices
Functions of Matrices--Diagonalizable Matrices
Generalized Eigenvectors
Chains
Canonical Basis
Jordan Canonical Forms
Functions of Matrices--General Case
Special Matrices. Complex Inner Product
Self-Adjoint Matrices
Real Symmetric Matrices
Orthogonal Matrices
Hermitian Matrices
Unitary Matrices
Summary
Positive Definite Matrices
Answers and Hints to Selected Problems
Index
Matrices.
Basic Concepts
Operations
41.

図書

図書
Richard S. Varga
出版情報: Englewood Cliffs, N.J. : Prentice-Hall, 1962  xiii, 322 p. ; 24 cm
シリーズ名: Prentice-Hall series in automatic computation
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42.

図書

図書
S.F. Borg
出版情報: Singapore : World Scientific, c1990  xvi, 336 p. ; 24 cm
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43.

図書

図書
Richard A. Brualdi, Herbert J. Ryser
出版情報: Cambridge : Cambridge University Press, 1991  ix, 367 p. ; 24 cm
シリーズ名: Encyclopedia of mathematics and its applications / edited by G.-C. Rota ; 39
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目次情報: 続きを見る
Incidence matrices / 1:
Matrices and graphs / 2:
Matrices and digraphs / 3:
Matrices and bigraphs / 4:
Combinatorial matrix algebra / 5:
Existence theorems for combinatorially constrained matrices / 6:
Some special graphs / 7:
The permanent / 8:
Latin squares / 9:
Incidence matrices / 1:
Matrices and graphs / 2:
Matrices and digraphs / 3:
44.

図書

図書
Francis D. Murnaghan
出版情報: New York : Wiley , London : Chapman & Hall, 1951  140 p. ; 24 cm
シリーズ名: Applied mathematics series
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45.

図書

図書
Joseph A. Ball, Israel Gohberg, Leiba Rodman
出版情報: Basel ; Boston : Birkhäuser Verlag, 1990  605 p. ; 24 cm
シリーズ名: Operator theory : advances and applications ; v. 45
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46.

図書

図書
by Peter Lancaster
出版情報: Oxford ; New York : Pergamon Press, [1966]  xiii, 196 p. ; 22 cm
シリーズ名: International series of monographs on pure and applied mathematics ; v. 94
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47.

図書

図書
[by] Franklin A. Graybill
出版情報: Belmont, Calif. : Wadsworth Pub. Co, [c1969]  372 p. ; 24 cm
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48.

図書

図書
Peter Lancaster
出版情報: New York : Academic Press, [1969]  xii, 316 p ; 24 cm
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49.

図書

図書
Martin Pearl
出版情報: New York : McGraw-Hill, c1973  xii, 450 p. ; 24 cm
シリーズ名: International series in pure and applied mathematics
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50.

図書

図書
M.A.R. Gunston
出版情報: Amsterdam ; New York : Elsevier Pub. Co., 1970 [1971]  ix, 138 p. ; 23 cm
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51.

図書

図書
[by] Hans Schneider [and] George Phillip Barker
出版情報: New York : Holt, Rinehart and Winston, c1968  ix, 385 p ; 24 cm
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52.

図書

図書
Mario Petrich
出版情報: London ; New York : Wiley, c1977  viii, 168 p. ; 25 cm
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53.

図書

図書
edited by I. Gohberg
出版情報: Basel ; Boston : Birkhäuser Verlag, 1990  vii, 305 p. ; 24 cm
シリーズ名: Operator theory : advances and applications ; v. 47
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54.

図書

図書
by Dudley E. Littlewood
出版情報: Oxford : Clarendon Press, 1950  viii, 310 p. ; 24 cm
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55.

図書

図書
A. C. Aitken
出版情報: Edinburgh : Oliver and Boyd , New York : Interscience Publishers, 1956  vii, 156 p. ; 19 cm
シリーズ名: University mathematical texts ; 1
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56.

図書

図書
J.D. Renton
出版情報: Chichester : E. Horwood , New York : Halsted Press, 1987  229 p. ; 25 cm
シリーズ名: Ellis Horwood series in mechanical engineering
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57.

図書

図書
Günther Windisch
出版情報: Leipzig : Teubner, c1989  140 p. ; 21 cm
シリーズ名: Teubner-Texte zur Mathematik ; Bd. 115
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58.

図書

図書
by Daniel T. Finkbeiner, II ; drawings by Evan Gillespie
出版情報: San Francisco : W.H. Freeman , Tokyo : Charles E. Tuttle, 1960  248 p.: ill. ; 22 cm
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59.

図書

図書
Schneider, Hans, 1927 Jan. 24- ; Mathematics Research Center (United States. Army) ; University of Wisconsin ; University of Wisconsin--Madison
出版情報: Madison : University of Wisconsin Press, 1964  xi, 142 p. ; 24 cm
シリーズ名: Publication ... of the Mathematics Research Center, United States Army, the University of Wisconsin ; no. 12
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60.

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図書
by Richard G. Cooke
出版情報: London : Macmillan, 1950  xiii, 347 p. ; 22 cm
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61.

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図書
[by] William Vann Parker and James Clifton Eaves
出版情報: New York : Ronald Press, c1960  viii, 195 p. ; 24 cm
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62.

図書

図書
O.P. Sharma
出版情報: New York : Ellis Horwood, 1990  xii, 82 p. ; 25 cm
シリーズ名: Ellis Horwood series in mathematics and its applications
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63.

図書

図書
Alan Jennings
出版情報: London ; New York : Wiley, c1977  xv, 330 p. ; 24 cm
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64.

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図書
by John A. Eisele and Robert M. Mason
出版情報: New York : Wiley-Interscience, c1970  x, 337 p. ; 24 cm
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65.

図書

図書
Louis A. Pipes, Shahen A. Hovanessian
出版情報: New York : Wiley, c1969  xi, 333 p. ; 23 cm
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66.

図書

図書
Philip J. Davis
出版情報: New York : Wiley, c1979  xv, 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
An Introductory Geometrical Application
Nested triangles / 1.1:
The transformation $\sigma$ / 1.2:
The transformation $\sigma$ iterated with different values of $s$ / 1.3:
Nested polygons / 1.4:
Introductory Matrix Material
Block operations / 2.1:
Direct sums / 2.2:
Kronecker product / 2.3:
Permutation matrices / 2.4:
The Fourier matrix / 2.5:
Hadamard matrices / 2.6:
Trace / 2.7:
Generalized inverse / 2.8:
Normal matrices, quadratic forms, and field of values / 2.9:
Circulant Matrices
Introductory properties / 3.1:
Diagonalization of circulants / 3.2:
Multiplication and inversion of circulants / 3.3:
Additional properties of circulants / 3.4:
Circulant transforms / 3.5:
Convergence questions / 3.6:
Some Geometric Applications of Circulants
Circulant quadratic forms arising in geometry / 4.1:
The isoperimetric inequality for isosceles polygons / 4.2:
Quadratic forms under side conditions / 4.3:
Nested n-gons / 4.4:
Smoothing and variation reduction / 4.5:
Applications to elementary plane geometry: n-gons and $K_r$-grams / 4.6:
The special case: $\text{circ}(s, t, 0, 0, \dots, 0)$ / 4.7:
Elementary geometry and the Moore-Penrose inverse / 4.8:
Generalizations of Circulants: $g$-Circulants and Block Circulants
$g$-circulants / 5.1:
$0$-circulants / 5.2:
PD-matrices / 5.3:
An equivalence relation on $\{1, 2, \dots, n\}$ / 5.4:
Jordanization of $g$-circulants / 5.5:
Block circulants / 5.6:
Matrices with circulant blocks / 5.7:
Block circulants with circulant blocks / 5.8:
Further generalizations / 5.9:
Centralizers and Circulants
The leitmotiv / 6.1:
Systems of linear matrix equations / 6.2:
The centralizer
$\div$ algebras / 6.3:
Some classes $Z(P_{\sigma}, P_{\tau})$ / 6.4:
Circulants and their generalizations / 6.5:
The centralizer of $J$; magic squares / 6.6:
Kronecker products of $I, \pi$, and $J$ / 6.7:
Best approximation by elements of centralizers / 6.8:
Appendix
Bibliography
Index of authors
Index of subjects
An Introductory Geometrical Application
Nested triangles / 1.1:
The transformation $\sigma$ / 1.2:
67.

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by Philip J. Davis
出版情報: New York : Blaisdell, 1965  xiii, 348 p. ; 24 cm
シリーズ名: A Blaisdell book in the pure and applied sciences
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68.

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図書
Jagdish J. Modi
出版情報: Oxford [Oxfordshire] : Clarendon Press , New York ; Tokyo : Oxford University Press, 1988  xi, 260 p. ; 22 cm
シリーズ名: Oxford applied mathematics and computing science series
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69.

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図書
Hans Volkmer
出版情報: Berlin ; Tokyo : Springer-Verlag, c1988  vi, 157 p. ; 25 cm
シリーズ名: Lecture notes in mathematics ; 1356
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70.

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図書
Paul Horst
出版情報: New York : Rinehart & Winston, c1965  xix, 730 p. ; 24 cm
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71.

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図書
[by] J. S. Przemieniecki
出版情報: New York : McGraw-Hill, [1967, c1968]  468 p ; 23 cm
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72.

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図書
Marcel F. Neuts
出版情報: New York : Marcel Dekker, c1989  xiv, 510 p. ; 24 cm
シリーズ名: Probability, pure and applied ; 5
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73.

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図書
Allan J. Silberger
出版情報: Berlin ; New York : Springer-Verlag, 1970  vi, 204 p ; 26 cm
シリーズ名: Lecture notes in mathematics ; 166
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74.

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図書
David H. Jacobson
出版情報: London ; New York : Academic Press, 1977  x, 217 p. ; 24 cm
シリーズ名: Mathematics in science and engineering : a series of monographs and textbooks ; v. 133
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75.

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図書
I. Gohberg, P. Lancaster, and L. Rodman
出版情報: Basel : Birkhäuser, c1983  xvii, 374 p. ; 24 cm
シリーズ名: Operator theory : advances and applications ; v. 8
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76.

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図書
C. Radhakrishna Rao, Sujit Kumar Mitra
出版情報: New York : Wiley, c1971  xiv, 240 p. ; 24 cm
シリーズ名: Wiley series in probability and mathematical statistics
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77.

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図書
by C.L. Siegel ; notes by S. Raghavan and S.S. Rangachari
出版情報: Bombay : Tata Institute of Fundamental Research, 1963  127 leaves ; 28 cm
シリーズ名: Lectures on mathematics and physics ; . Mathematics ; 28
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78.

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図書
N.J. Pullman
出版情報: New York : M. Dekker, c1976  vi, 240 p. ; 24 cm
シリーズ名: Monographs and textbooks in pure and applied mathematics ; 35
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79.

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図書
R.T. Smythe, John C. Wierman
出版情報: Berlin ; New York : Springer-Verlag, 1978  viii, 196 p. ; 25 cm
シリーズ名: Lecture notes in mathematics ; 671
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80.

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図書
Charles A. Hollingsworth
出版情報: New York : McGraw-Hill, c1967  ix, 355 p. ; 23 cm
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81.

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図書
Roger A. Horn, Charles R. Johnson
出版情報: Cambridge [Cambridgeshire] ; New York : Cambridge University Press, 1985  xiii, 561 p. ; 24 cm
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目次情報: 続きを見る
Preface
Review and miscellanea
Eigenvalues, eigenvectors, and similarity / 1:
Unitary equivalence and normal matrices / 2:
Canonical forms / 3:
Hermitian and symmetric matrices / 4:
Norms for vectors and matrices / 5:
Location and perturbation of eigenvalues / 6:
Positive definite matrices / 7:
Non-negative matrices / 8:
Appendices / 9:
References
Preface
Review and miscellanea
Eigenvalues, eigenvectors, and similarity / 1:
82.

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図書
Dragos M. Cvetković ... [et al.]
出版情報: Amsterdam : North-Holland, 1988  xi, 306 p. ; 25 cm
シリーズ名: Annals of discrete mathematics ; 36
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83.

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by A. Berman
出版情報: Berlin : Springer, 1973  iv, 96 p. ; 26 cm
シリーズ名: Lecture notes in economics and mathematical systems ; 79
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84.

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図書
Irving Reiner
出版情報: New York : Holt, Rinehart and Winston, c1971  v, 154 p ; 23 cm
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85.

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図書
Françoise Chatelin ; with exercises by Mario Ahués and Françoise Chatelin ; translated with additional material by Walter Ledermann
出版情報: New York ; Chichester : Wiley & Sons, c1993  xviii, 382 p. ; 24 cm
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86.

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図書
David I. Steinberg
出版情報: New York ; Tokyo : McGraw-Hill, c1974  viii, 280 p. ; 24 cm
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87.

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図書
[by] F. A. Ficken
出版情報: Englewood Cliffs, N.J. : Prentice-Hall, c1964  1v. ; 22 cm
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88.

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図書
Denis Serre
出版情報: New York ; Tokyo : Springer, c2002  xv, 202 p. ; 25 cm
シリーズ名: Graduate texts in mathematics ; 216
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目次情報: 続きを見る
Preface
List of Symbols
Elementary Theory / 1:
Basics / 1.1:
Change of Basis / 1.2:
Exercises / 1.3:
Square Matrices / 2:
Determinants and Minors / 2.1:
Invertibility / 2.2:
Alternate Matrices and the Pfaffian / 2.3:
Eigenvalues and Eigenvectors / 2.4:
The Characteristic Polynomial / 2.5:
Diagonalization / 2.6:
Trigonalization / 2.7:
Irreducibility / 2.8:
Matrices with Real or Complex Entries / 2.9:
Eigenvalues of Real- and Complex-Valued Matrices / 3.1:
Spectral Decomposition of Normal Matrices / 3.2:
Normal and Symmetric Real-Valued Matrices / 3.3:
The Spectrum and the Diagonal of Hermitian Matrices / 3.4:
Norms / 3.5:
A Brief Review / 4.1:
Householder's Theorem / 4.2:
An Interpolation Inequality / 4.3:
A Lemma about Banach Algebras / 4.4:
The Gershgorin Domain / 4.5:
Nonnegative Matrices / 4.6:
Nonnegative Vectors and Matrices / 5.1:
The Perron-Frobenius Theorem: Weak Form / 5.2:
The Perron-Frobenius Theorem: Strong Form / 5.3:
Cyclic Matrices / 5.4:
Stochastic Matrices / 5.5:
Matrices with Entries in a Principal Ideal Domain; Jordan Reduction / 5.6:
Rings, Principal Ideal Domains / 6.1:
Invariant Factors of a Matrix / 6.2:
Similarity Invariants and Jordan Reduction / 6.3:
Exponential of a Matrix, Polar Decomposition, and Classical Groups / 6.4:
The Polar Decomposition / 7.1:
Exponential of a Matrix / 7.2:
Structure of Classical Groups / 7.3:
The Groups U(p,q) / 7.4:
The Orthogonal Groups O(p,q) / 7.5:
The Symplectic Group Spn / 7.6:
Singular Value Decomposition / 7.7:
Matrix Factorizations / 7.8:
The LU Factorization / 8.1:
Choleski Factorization / 8.2:
The QR Factorization / 8.3:
The Moore-Penrose Generalized Inverse / 8.4:
Iterative Methods for Linear Problems / 8.5:
A Convergence Criterion / 9.1:
Basic Methods / 9.2:
Two Cases of Convergence / 9.3:
The Tridiagonal Case / 9.4:
The Method of the Conjugate Gradient / 9.5:
Approximation of Eigenvalues / 9.6:
Hessenberg Matrices / 10.1:
The QR Method / 10.2:
The Jacobi Method / 10.3:
The Power Methods / 10.4:
Leverrier's Method / 10.5:
References / 10.6:
Index
Preface
List of Symbols
Elementary Theory / 1:
89.

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図書
by J.H.M. Wedderburn
出版情報: Ann Arbor, Mich. : Cushing-Malloy, 1960  vii, 205 p. ; 26 cm
シリーズ名: Colloquium publications / American Mathematical Society ; v. 17
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90.

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図書
A.R. Gourlay, G.A. Watson
出版情報: London ; New York : Wiley, c1973  xi, 132 p ; 24 cm
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91.

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図書
Franklin Y. Cheng
出版情報: New York : Marcel Dekker, 2000, c2001  xv, 997 p. ; 26 cm
シリーズ名: Civil and environmental engineering ; 4
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目次情報: 続きを見る
Characteristics of free and forced vibrations of elementary systems
Eigensolution techniques and undamped response analysis of multiple-degree-of-freedom systems
Eigensolution methods and response analysis for proportional and non-proportional damping
Dynamic stiffness and energy methods for distributed mass systems
Dynamic stiffness method for coupling vibration, elastic media and Pdeltal effect
Consistent mass method of frames and finite elements
Numerical integration methods and seismic response spectra for single- and multi-components seismic input
Formulation and response analysis of 3-D building systems with walls and bracings
Various hysteresis models of non-linear response analysis
Static and dynamic lateral-force procedures and related effects in building codes of UBC-94, UBC-97, and IBC-2000
Problems; solutions
Appendices: Lagrange's equation
Derivation of ground rotation
Vector analysis fundamentals
Transformation matrix between JCS and GCS
Transformation matrix between ECS and GCS for beam column
Transformation matrix and stiffness matrix; of beams column with rigid zone
Computer program for Newmark method
Computer program for Wilson method
Computer program for CQC method
Goel steel-bracing hysteresis model and computer program
Takeda model for RC columns and beams and computer program
Cheng-Mertz model for bending coupling with shear and low-rise shear walls and computer program
Cheng-Lou axial hysteresis model for RC columns and walls and computer program
Characteristics of free and forced vibrations of elementary systems
Eigensolution techniques and undamped response analysis of multiple-degree-of-freedom systems
Eigensolution methods and response analysis for proportional and non-proportional damping
92.

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図書
[by] G.N. Smith
出版情報: Barking (Ripple Rd., Barking, Essex) : Applied Science Publishers Ltd., 1971  xi, 222 p ; 23 cm
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93.

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Allan Pinkus
出版情報: New York : Cambridge University Press, 2010  xi, 182 p. ; 24 cm
シリーズ名: Cambridge tracts in mathematics ; 181
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Foreword
Basic properties of totally positive matrices / 1:
Criteria for total positivity and strict total positivity / 2:
Variation diminishing / 3:
Examples / 4:
Eigenvalues and eigenvectors / 5:
Factorizations of totally positive matrices / 6:
Afterword
References
Subject index
Author index
Foreword
Basic properties of totally positive matrices / 1:
Criteria for total positivity and strict total positivity / 2:
94.

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図書
I.S. Iohvidov ; translated by G. Philip A. Thijsse
出版情報: Boston : Birkhäuser, 1982  xiii, 231 p. ; 24 cm
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95.

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図書
Joel N. Franklin
出版情報: Englewood Cliffs, N.J. : Prentice-Hall, c1968  xii, 292 p. ; 24 cm
シリーズ名: Prentice-Hall series in applied mathematics
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96.

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Rajendra Bhatia
出版情報: New York : Springer, c1997  xi, 347 p. ; 25 cm
シリーズ名: Graduate texts in mathematics ; 169
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97.

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図書
[by] V. I. Smirnov. Rev., adapted, and edited by Richard A. Silverman
出版情報: New York : [Dover Publications], 1970, c1961  x, 464 p ; 22 cm
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98.

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Charles R. Johnson, Ronald L. Smith, Michael J. Tsatsomeros
出版情報: Cambridge, U.K. : Cambridge University Press, 2020  xiv, 208 p. ; 24 cm
シリーズ名: Cambridge tracts in mathematics ; 221
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99.

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Elizabeth S. Meckes
出版情報: Cambridge : Cambridge University Press, 2019  xi, 212 p. ; 24 cm
シリーズ名: Cambridge tracts in mathematics ; 218
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100.

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[by] Robert L. Childress
出版情報: Englewood Cliffs, N.J. : Prentice-Hall, [1974]  xii, 356 p. ; 24 cm
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