The real numbers and real analysis
This text is a rigorous, detailed introduction to real analysis that presents the fundamentals with clear exposition and carefully written definitions, theorems, and proofs. The choice of material and the flexible organization, including three different entryways into the study of the real numbers,...
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| Autor principal: | |
|---|---|
| Formato: | Livre numérique |
| Idioma: | Anglais |
| Publicado em: |
New York, NY :
Springer New York
2011.
Cham : Springer Nature |
| Assuntos: | |
| Acesso em linha: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • The real numbers and real analysis, Ethan D. Bloch, New York, Springer, 2011, 1 vol. (XXVIII- 553 p.), 978-0-387-72176-7 • The Real Numbers and Real Analysis, Texte imprimé, 9780387565903 • The Real Numbers and Real Analysis, Texte imprimé, 9781489998347 |
Sumário:
- Preface.-To the Student.-To the Instructor.- 1. Construction of the Real Numbers
- 2. Properties of the Real Numbers
- 3. Limits and Continuity
- 4. Differentiation
- 5. Integration
- 6. Limits to Infinity.-7. Transcental Functions.-8. Sequences
- 9. Series
- 10. Sequences and Series of Functions
- Bibliography
- Index.