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Englisch
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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.
Über den Autor
Nader Vakil is a Professor of Mathematics at Western Illinois University. He received his PhD from the University of Washington, Seattle, where he worked with Edwin Hewitt. His research interests centre on the foundation of mathematical analysis and applications of the theory of modern infinitesimals to topology and functional analysis.
Inhaltsverzeichnis
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.
Details
| Erscheinungsjahr: | 2011 |
|---|---|
| Fachbereich: | Analysis |
| Genre: | Importe, Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Buch |
| Inhalt: | Gebunden |
| ISBN-13: | 9781107002029 |
| ISBN-10: | 1107002028 |
| Sprache: | Englisch |
| Einband: | Gebunden |
| Autor: | Vakil, Nader |
| Hersteller: | Cambridge University Press |
| Verantwortliche Person für die EU: | Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de |
| Maße: | 240 x 161 x 36 mm |
| Von/Mit: | Nader Vakil |
| Erscheinungsdatum: | 28.10.2011 |
| Gewicht: | 1,036 kg |
Über den Autor
Nader Vakil is a Professor of Mathematics at Western Illinois University. He received his PhD from the University of Washington, Seattle, where he worked with Edwin Hewitt. His research interests centre on the foundation of mathematical analysis and applications of the theory of modern infinitesimals to topology and functional analysis.
Inhaltsverzeichnis
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.
Details
| Erscheinungsjahr: | 2011 |
|---|---|
| Fachbereich: | Analysis |
| Genre: | Importe, Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Buch |
| Inhalt: | Gebunden |
| ISBN-13: | 9781107002029 |
| ISBN-10: | 1107002028 |
| Sprache: | Englisch |
| Einband: | Gebunden |
| Autor: | Vakil, Nader |
| Hersteller: | Cambridge University Press |
| Verantwortliche Person für die EU: | Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de |
| Maße: | 240 x 161 x 36 mm |
| Von/Mit: | Nader Vakil |
| Erscheinungsdatum: | 28.10.2011 |
| Gewicht: | 1,036 kg |
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