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
Alain M. Robert is an active Professor of Mathematics at the University of Neuchatel in Switzerland.
"The author has accomplished a rare feat in the educational literature. He has succeeded in writing a book which is simple and brilliant, deep and witty, short and far-ranging. This is mathematics teaching at its best."