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1.

図書
図書
1. Nonstandard analysis
Alain Robert ; translated and adapted by the author
出版情報: New York : Wiley, c1988  xx, 156 p. ; 24 cm
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2.

図書
図書
2. Introduction to the theory of infinitesimals
K.D. Stroyan ; in collaboration with W.A.J. Luxemburg
出版情報: New York : Academic Press, 1976  xiii, 326 p. ; 24 cm
シリーズ名: Pure and applied mathematics ; 72
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3.

図書
図書
3. Nonstandard asymptotic analysis (: gw ; : us)
Imme van den Berg
出版情報: Berlin ; Tokyo : Springer-Verlag, c1987  ix, 187 p. ; 24 cm
シリーズ名: Lecture notes in mathematics ; 1249
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4.

図書
図書
4. Models for smooth infinitesimal analysis (: New York ; : Berlin)
Ieke Moerdijk, Gonzalo E. Reyes
出版情報: New York ; Tokyo : Springer-Verlag, c1991  x, 399 p. ; 25 cm
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5.

図書
図書
5. Applied nonstandard analysis
Martin Davis
出版情報: New York : Wiley, c1977  xii, 181 p. ; 24 cm
シリーズ名: Pure and applied mathematics
A Wiley-Interscience publication
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目次情報: 続きを見る
Glossary of Special Symbols
Introduction
Why Nonstandard Analysis? / 1：
Infinitesimals as Ideal Elements / 2：
The Role of Logic / 3：
Three Techniques / 4：
Mathematical Logic and Rigor / 5：
Numbering of Theorems / 6：
Universes and Languages / Chapter 1：
Sets and Relations
Filters
Individuals and Superstructures
Universes
Languages
Semantics
Los' Theorem / 7：
Concurrence, Infinite Integers, Internal Sets / 8：
Recapitulation / 9：
Exercises
Real Numbers and Hyperreal Numbers / Chapter 2：
Ordered Fields
Nonstandard Theory of Archimedean Fields
The Real Numbers
The Hyperreal Numbers
Real Sequences and Functions
Prolongation Theorems
Nonstandard Differential Calculus
Additivity
The Existence of Nonmeasurable Sets
Topological and Metric Spaces / Chapter 3：
Topological Spaces
Mappings and Products
Topological Groups
The Existence of Haar Measure
Metric Spaces
Uniform Convergence
Uniform Continuity and Equicontinuity
Compact Mappings
Normed Linear Spaces / Chapter 4：
Linear Spaces
Compact Operators
Integration of Banach Space Valued Functions
Differential Calculus
Hilbert Space / Chapter 5：
Unitary Spaces
Orthogonal Projections
The Bernstein-Robinson Theorem
The Spectral Theorem for Compact Hermitian Operators
Noncompact Hermitian Operators
Index
Glossary of Special Symbols
Introduction
Why Nonstandard Analysis? / 1：
6.

図書
図書
6. Nonarchimedean fields and asymptotic expansions ((American Elsevier) ; North-Holland)
A.H. Lightstone and Abraham Robinson
出版情報: Amsterdam : North-Holland Pub. Co , New York : American Elsevier Pub. Co., 1975  x, 204 p. ; 23 cm
シリーズ名: North-Holland mathematical library ; v. 13
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7.

図書
図書
7. Mathematiques finitaires & analyse non standard (t. 1 ; t. 2)
editeurs, Marc Diener, Guy Wallet
出版情報: Paris : U.F.R. de Mathématiques et U.R.A., [1989?]  2 v. (360 p.) ; 23 cm
シリーズ名: Publications mathématiques de l'Université Paris VII ; 31
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8.

図書
図書
8. Non-standard analysis
Abraham Robinson
出版情報: Amsterdam : North-Holland Pub. Co., 1966  xi, 293 p. ; 23 cm
シリーズ名: Studies in logic and the foundations of mathematics
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