Elementary Analysis: The Theory of Calculus

Elementary Analysis: The Theory of Calculus

Author
Kenneth A. Ross (auth.)
Publisher
Springer New York
Language
English
Year
1980
ISBN
9781441928115,9781475739718
File Type
pdf
File Size
5.9 MiB

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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