Elementary Analysis
The Theory of Calculus
Seiten
1980
|
1st ed. 1980. Corr. 14th printing 2003
Springer-Verlag New York Inc.
978-0-387-90459-7 (ISBN)
Springer-Verlag New York Inc.
978-0-387-90459-7 (ISBN)
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Designed for students having no previous experience with rigorous proofs, this text on analysis is intended to follow a standard calculus course. It is useful for students planning to continue in mathematics, as well as for future secondary school teachers.
Designed for students having no previous experience with rigorous proofs, this text can be used immediately after standard calculus courses. It is highly recommended for anyone planning to study advanced analysis, as well as for future secondary school teachers. A limited number of concepts involving the real line and functions on the real line are studied, while many abstract ideas, such as metric spaces and ordered systems, are avoided completely. A thorough treatment of sequences of numbers is used as a basis for studying standard calculus topics, and optional sections invite students to study such topics as metric spaces and Riemann-Stieltjes integrals.
Designed for students having no previous experience with rigorous proofs, this text can be used immediately after standard calculus courses. It is highly recommended for anyone planning to study advanced analysis, as well as for future secondary school teachers. A limited number of concepts involving the real line and functions on the real line are studied, while many abstract ideas, such as metric spaces and ordered systems, are avoided completely. A thorough treatment of sequences of numbers is used as a basis for studying standard calculus topics, and optional sections invite students to study such topics as metric spaces and Riemann-Stieltjes integrals.
Introduction.- Sequences.- Continuity.- Sequences and Series of Functions.- Differentiation.- Integration.- Appendix on Set Notation.- Selected Hints and Answers
| Reihe/Serie | Undergraduate Texts in Mathematics |
|---|---|
| Zusatzinfo | 1, black & white illustrations |
| Verlagsort | New York, NY |
| Sprache | englisch |
| Maße | 156 x 234 mm |
| Gewicht | 698 g |
| Einbandart | gebunden |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| ISBN-10 | 0-387-90459-X / 038790459X |
| ISBN-13 | 978-0-387-90459-7 / 9780387904597 |
| Zustand | Neuware |
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