Real Analysis Through Modern Infinitesimals
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Lieferzeit: Print on Demand - Lieferbar innerhalb von 3-5 Werktagen I
ISBN-13:
9781107002029
Veröffentl:
2011
Einband:
HC gerader Rücken kaschiert
Erscheinungsdatum:
28.10.2011
Seiten:
586
Autor:
Nader Vakil
Gewicht:
1038 g
Format:
240x161x36 mm
Sprache:
Englisch
Beschreibung:
A coherent, self-contained treatment of the central topics of real analysis employing modern infinitesimals.
A coherent, self-contained treatment of the central topics of real analysis employing modern infinitesimals.
Preface; Introduction; Part I. Elements of Real Analysis: 1. Internal set theory; 2. The real number system; 3. Sequences and series; 4. The topology of R; 5. Limits and continuity; 6. Differentiation; 7. Integration; 8. Sequences and series of functions; 9. Infinite series; Part II. Elements of Abstract Analysis: 10. Point set topology; 11. Metric spaces; 12. Complete metric spaces; 13. Some applications of completeness; 14. Linear operators; 15. Differential calculus on Rn; 16. Function space topologies; Appendix A. Vector spaces; Appendix B. The b-adic representation of numbers; Appendix C. Finite, denumerable, and uncountable sets; Appendix D. The syntax of mathematical languages; References; Index.