Elementary Analysis: The Theory of Calculus (Undergraduate Texts in Mathematics)

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Elementary Analysis: The Theory of Calculus (Undergraduate Texts in Mathematics) image
ISBN-10:

1441928111

ISBN-13:

9781441928115

Author(s): Kenneth A. Ross
Released: Jan 01, 2010
Publisher: Springer
Format: Paperback, 378 pages

Description:

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.

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