Elementary Analysis: The Theory of Calculus

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 ... Read More

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. Read Less

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2001 Edition

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354090459X

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9783540904595

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  	Edition: 2001, Springer-Verlag Berlin and Heidelberg GmbH & Co. K Hardcover, Good	Details: ISBN: 354090459X ISBN-13: 9783540904595 Pages: 361 Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. K Published: 2001 Alibris ID: 17904010727	Shipping Options: Standard Shipping: $4.57 Choose your shipping method in Checkout. Costs may vary based on destination.
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2015, Springer-Verlag New York Inc., New York ISBN-13: 9781493901289 2nd edition 2013 Paperback See All from $41.52	2013, Springer, New York, NY ISBN-13: 9781461462705 2nd 2013 edition Hardcover See All from $17.87
2001, Springer-Verlag Berlin and Heidelberg GmbH & Co. K, Berlin ISBN-13: 9783540904595 Hardcover See All from $101.37	1980, Springer, New York, NY ISBN-13: 9780387904597 8th 1980 Hardcover See All from $12.00