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This introduction to nonstandard analysis is based on the axiomatic internal set theory approach. A clear exposition of theory is followed by applications. Includes exercises, hints, and solutions. 1988 edition.
This introduction to nonstandard analysis is based on the axiomatic internal set theory approach. A clear exposition of theory is followed by applications. Includes exercises, hints, and solutions. 1988 edition.
Über den Autor
Alain M. Robert is an active Professor of Mathematics at the University of Neuchatel in Switzerland.
Inhaltsverzeichnis
Preface. Conventions, Notations
Part 1. Introduction
1. Idealization
2. Standardization and Transfer
3. Real Numbers and Numerical Functions
4. Continuity
5. Differentiability
6. Integration
Part 2.
7. Invariant Means
8. Approximation of Functions
9. Differential Equations
10. Perturbation of a Green Function
11. Invariant Subspaces Problem
Indications for Exercises. Solutions of Exercises
Bibliography. Index
Basic Principles of NSA. IST Axioms for NSA
Part 1. Introduction
1. Idealization
2. Standardization and Transfer
3. Real Numbers and Numerical Functions
4. Continuity
5. Differentiability
6. Integration
Part 2.
7. Invariant Means
8. Approximation of Functions
9. Differential Equations
10. Perturbation of a Green Function
11. Invariant Subspaces Problem
Indications for Exercises. Solutions of Exercises
Bibliography. Index
Basic Principles of NSA. IST Axioms for NSA
Details
Erscheinungsjahr: | 2011 |
---|---|
Fachbereich: | Analysis |
Genre: | Importe, Mathematik |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Taschenbuch |
Inhalt: | Kartoniert / Broschiert |
ISBN-13: | 9780486432793 |
ISBN-10: | 0486432793 |
UPC: | 800759432790 |
EAN: | 0800759432790 |
Sprache: | Englisch |
Einband: | Kartoniert / Broschiert |
Autor: | Robert, Alain M |
Hersteller: | Dover Publications |
Verantwortliche Person für die EU: | Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de |
Maße: | 233 x 156 x 15 mm |
Von/Mit: | Alain M Robert |
Erscheinungsdatum: | 19.07.2011 |
Gewicht: | 0,27 kg |
Über den Autor
Alain M. Robert is an active Professor of Mathematics at the University of Neuchatel in Switzerland.
Inhaltsverzeichnis
Preface. Conventions, Notations
Part 1. Introduction
1. Idealization
2. Standardization and Transfer
3. Real Numbers and Numerical Functions
4. Continuity
5. Differentiability
6. Integration
Part 2.
7. Invariant Means
8. Approximation of Functions
9. Differential Equations
10. Perturbation of a Green Function
11. Invariant Subspaces Problem
Indications for Exercises. Solutions of Exercises
Bibliography. Index
Basic Principles of NSA. IST Axioms for NSA
Part 1. Introduction
1. Idealization
2. Standardization and Transfer
3. Real Numbers and Numerical Functions
4. Continuity
5. Differentiability
6. Integration
Part 2.
7. Invariant Means
8. Approximation of Functions
9. Differential Equations
10. Perturbation of a Green Function
11. Invariant Subspaces Problem
Indications for Exercises. Solutions of Exercises
Bibliography. Index
Basic Principles of NSA. IST Axioms for NSA
Details
Erscheinungsjahr: | 2011 |
---|---|
Fachbereich: | Analysis |
Genre: | Importe, Mathematik |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Taschenbuch |
Inhalt: | Kartoniert / Broschiert |
ISBN-13: | 9780486432793 |
ISBN-10: | 0486432793 |
UPC: | 800759432790 |
EAN: | 0800759432790 |
Sprache: | Englisch |
Einband: | Kartoniert / Broschiert |
Autor: | Robert, Alain M |
Hersteller: | Dover Publications |
Verantwortliche Person für die EU: | Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de |
Maße: | 233 x 156 x 15 mm |
Von/Mit: | Alain M Robert |
Erscheinungsdatum: | 19.07.2011 |
Gewicht: | 0,27 kg |
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