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Elementary Analysis

The Theory of Calculus
Buch | Hardcover
272 Seiten
1980 | 1st ed. 1980. Corr. 14th printing 2003
Springer-Verlag New York Inc.
978-0-387-90459-7 (ISBN)

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Elementary Analysis - Kenneth Allen Ross
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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.

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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