Elementary Analysis

The Theory of Calculus

Nonfiction, Science & Nature, Mathematics, Mathematical Analysis, Calculus
Cover of the book Elementary Analysis by Kenneth A. Ross, Springer New York
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Author: Kenneth A. Ross ISBN: 9781475739718
Publisher: Springer New York Publication: April 17, 2013
Imprint: Springer Language: English
Author: Kenneth A. Ross
ISBN: 9781475739718
Publisher: Springer New York
Publication: April 17, 2013
Imprint: Springer
Language: English

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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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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