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1.

図書

図書
[by] Erik M. Alfsen
出版情報: Berlin ; New York : Springer-Verlag, 1971  ix, 210 p. ; 24 cm
シリーズ名: Ergebnisse der Mathematik und ihrer Grenzgebiete ; Bd. 57
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2.

図書

図書
Richard D. Bourgin
出版情報: Berlin ; New York : Springer-Verlag, 1983  xii, 474 p. ; 24 cm
シリーズ名: Lecture notes in mathematics ; 993
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3.

図書

図書
Jan van Tiel
出版情報: Chichester [West Sussex] ; New York : Wiley, c1984  viii, 125 p. ; 24 cm
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4.

図書

図書
L. Asimow, A.J. Ellis
出版情報: London ; New York : Academic Press, 1980  x, 266 p. ; 24 cm
シリーズ名: L.M.S. monographs ; no. 16
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5.

図書

図書
Steven R. Lay
出版情報: New York : Wiley, c1982  xvi, 244 p. ; 25 cm
シリーズ名: Pure and applied mathematics : a Wiley-Interscience series of texts, monographs, and tracts
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目次情報: 続きを見る
Fundamentals / 1:
Linear Algebra and Topology
Convex Sets / 2:
Hyperplanes
Hyperplanes and Linear Functionals / 3:
Separating Hyperplanes / 4:
Supporting Hyperplanes / 5:
Helly-Type Theorems
Helly's Theorem / 6:
Kirchberger's Theorem / 7:
Kirchberger-type Theorems
Separation by a Spherical Surface / 8:
Separation by a Cylinder / 9:
Separation by a Parallelotope / 10:
Special Topics in E[superscript 2]
Sets of Constant Width / 11:
Universal Covers / 12:
The Isoperimetric Problem / 13:
Families of Convex Sets
Parallel Bodies / 14:
The Blaschke Selection Theorem / 15:
The Existence of Extremal Sets / 16:
Characterizations of Convex Sets
Local Convexity / 17:
Local Support Properties / 18:
Nearest-Point Properties / 19:
Polytopes
The Faces of a Polytope / 20:
Special Types of Polytopes and Euler's Formula / 21:
Approximation by Polytopes / 22:
Duality
Polarity and Polytopes / 23:
Dual Cones / 24:
Optimization
Finite Matrix Games / 25:
Linear Programming / 26:
The Simplex Method / 27:
Convex Functions
Basic Properties / 28:
Support and Distance Functions / 29:
Continuity and Differentiability / 30:
Solutions, Hints, and References for Exercises
Bibliography
Index
Fundamentals / 1:
Linear Algebra and Topology
Convex Sets / 2:
6.

図書

図書
by Hoang Tuy
出版情報: Dordrecht : Kluwer Academic Publishers, c1998  xi, 339 p. ; 25 cm
シリーズ名: Nonconvex optimization and its applications ; v. 22
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7.

図書

図書
Ivan Singer
出版情報: New York : John Wiley & Sons, c1997  xix, 491 p. ; 25 cm
シリーズ名: Canadian Mathematical Society series of monographs and advanced texts
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目次情報: 続きを見る
Abstract Convexity of Elements of a Complete Lattice
Abstract Convexity of Subsets of a Set
Abstract Convexity of Functions on a Set
Abstract Quasi-Convexity of Functions on a Set
Dualities Between Complete Lattices
Dualities Between Families of Subsets
Dualities Between Sets of Functions
Conjugations. (-Dualities and <$$$>-Dualities
Abstract Subdifferentials
Notes and Remarks
References
Indexes
Abstract Convexity of Elements of a Complete Lattice
Abstract Convexity of Subsets of a Set
Abstract Convexity of Functions on a Set
8.

図書

図書
by Diethard Pallaschke and Stefan Rolewicz
出版情報: Dordrecht ; Boston : Kluwer Academic, c1997  xii, 582 p. ; 25 cm
シリーズ名: Mathematics and its applications ; v. 388
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9.

図書

図書
H. Groemer
出版情報: Cambridge ; New York : Cambridge University Press, 1996  xi, 329 p. ; 24 cm
シリーズ名: Encyclopedia of mathematics and its applications / edited by G.-C. Rota ; v. 61
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10.

図書

図書
[by] Frederick A. Valentine
出版情報: New York : McGraw-Hill, [1964]  ix, 238 p. ; 24 cm
シリーズ名: McGraw-Hill series in higher mathematics
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