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The Way of Analysis
ISBN 0867204710 / 9780867204711 / 0-86720-471-0
Publisher Jones & Bartlett Pub
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This textbook on real analysis is intended for a one- or two-semester course at the undergraduate or beginning graduate level. It gives a thorough account of real analysis in one or several variables, from the construction of the real number system to an introduction to the Lebesgue integral. Written in a lively and informal style, the text provides proofs of all the main results, as well as motivations, examples, applications, exercises, and formal chapter summaries. Three chapters on applications (ordinary differential equations, Fourier series, and curves and surfaces) are included to show how the abstract ideas are used in interesting situations. [via]