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1.

図書
図書
1. Interpolation and approximation
Philip J. Davis
出版情報: New York : Blaisdell Pub. Co., 1963  xiv, 393 p. ; 23 cm
シリーズ名: A Blaisdell book in the pure and applied sciences
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2.

図書
図書
2. The mathematics of matrices : a first book of matrix theory and linear algebra
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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3.

図書
図書
3. The Schwarz function and its applications
by Philip J. Davis
出版情報: [Washington] : Mathematical Association of America, c1974  xi, 228 p. ; 20 cm
シリーズ名: The Carus mathematical monographs ; no. 17
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4.

図書
図書
4. The mathematical experience
Philip J. Davis, Reuben Hersh ; with an introduction by Gian-Carlo Rota
出版情報: Boston : Birkhäuser, c1980  xix, 440 p. ; 24 cm
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5.

図書
図書
5. Methods of numerical integration
[by] Philip J. Davis [and] Philip Rabinowitz
出版情報: New York : Academic Press, 1975  xii, 459 p. ; 24 cm
シリーズ名: Computer science and applied mathematics
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6.

図書
図書
6. Descartes' dream : the world according to mathematics
Philip J. Davis, Reuben Hersh
出版情報: San Diego : Harcourt Brace Jovanovich, c1986  xvii, 321 p. ; 25 cm
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目次情報: 続きを見る
Preface
Acknowledgements
This Mathematized World / I：
Descartes' Dream
Where the Dream Stands Today
The Limits of Mathematics
Are We Drowning in Digits?
The Stochastized World: A Matter of Style?
Feedback and Control: The Equilibrium Machine
Computer Graphics and the Possibility of High Art
The Social Tyranny of Numbers / II：
Mathematics and Rhetoric
The Criterion Makers: Mathematics and Social Policy
The Computerization of Love
Testing
Mathematics as a Social Filter
A "Marxian" Analysis of the Role of Computing in Organizations
Cognition and Computation / III：
The Descriptive, Predictive, and Prescriptive Functions of Applied Mathematics
The Intellectual Components of Technology, Mathematics and Computation: Four Lists
Metathinking as a Way of Life
Three Meanings of Computation
What Scientific Computation is for
Why Should I Believe a Computer: Computation as Process and Product
The Whorfian Hypothesis: Ends and Means in Computer Languages
The Programming Milieu
Perspectives Through Time / IV：
Of Time and Mathematics
Non-Euclidean Geometry and Ethical Relativism
The Unreasonable Effectiveness of Computers. Are We Hooked?
Mathematics and Ethics / V：
Platonic Mathematics Meets Platonic Philosophy of Religion: An Ethical Metaphor
The Computer Thinks: An Interpretation in the Medieval Mode
Mathematics and the End of the World
Personal Meanings / VI：
Mathematics and Imposed Reality
Loss of Meaning through Intellectual Processes: Mathematical Abstraction
Envoi / VII：
Bibliography
Index
Preface
Acknowledgements
This Mathematized World / I：
7.

図書
図書
7. Circulant matrices
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：
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