Nonstandard Analysis

Klappentext 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. Inhaltsverzeichnis Preface. Conventions, NotationsPart 1. Introduction1. Idealization2. Standardization and Transfer3. Real Numbers and Numerical Functions4. Continuity5. Differentiability6. IntegrationPart 2.7. Invariant Means8. Approximation of Functions9. Differential Equations10. Perturbation of a Green Function11. Invariant Subspaces ProblemIndications for Exercises. Solutions of ExercisesBibliography. IndexBasic Principles of NSA. IST Axioms for NSA

Autorentext
Alain M. Robert is an active Professor of Mathematics at the University of Neuchatel in Switzerland.

Inhalt
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

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