Elementary Analysis: The Theory of Calculus
Elementary Analysis: The Theory of Calculus by Kenneth A. Ross

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Author: Kenneth A. Ross
Title: Elementary Analysis: The Theory of Calculus
ISBN: 038790459X
ISBN13: 978-0387904597
Other Formats: docx azw rtf mobi
Pages: 272 pages
Publisher: Springer; 1st edition (March 3, 1980)
Language: English
Size PDF version: 1435 kb
Size EPUB version: 1499 kb
Category: Science & Math
Subcategory: Mathematics

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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