Elementary Analysis: The Theory of Calculus

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Elementary Analysis: The Theory of Calculus image
ISBN-10:

038790459X

ISBN-13:

9780387904597

Author(s): Ross, Kenneth A.
Edition: First Edition
Released: Mar 03, 1980
Publisher: Springer
Format: Hardcover, 272 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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