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

Ross, Kenneth Allen

Hardcover

ISBN 10: 354090459X ISBN 13: 9783540904595

Verlag: Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 2001

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Book by Ross Kenneth A

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Designed for students having no previous experience with rigorous proofs, this text on analysis can be used immediately following standard calculus courses. It is highly recommended for anyone planning to study advanced analysis, for example complex variables, differential equations, Fourier analysis, numerical analysis, several variable calculus, and statistics. It is also recommended for future secondary school teachers. A limited number of concepts involving the real line and functions on the real line are studied. Many abstract ideas, such as metric spaces and ordered systems, are avoided. The least upper bound property is taken as an axiom and the order properties of the real line are exploited throughout. A thorough treatment of sequences of numbers is used as a basis for studying standard calculus topics. Optional sections invite students to study such topics as metric spaces and Riemann-Stieltjes integrals. 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.

Über diese Auflage

• Verlag: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
• Erscheinungsdatum: 2001
• ISBN 10: 354090459X
• ISBN 13: 9783540904595
• Einband: Tapa dura
• Anzahl der Seiten: 361