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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:
2.

図書

図書
David Lay with Steven R. Lay and Judi J. McDonald
出版情報: Boston : Pearson, c2016  510, 55, 8, 2 p. ; 26 cm
シリーズ名: Always learning
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