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Introduction to Calculus and Classical Analysis - Softcover

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9781441994899: Introduction to Calculus and Classical Analysis

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Synopsis

This text is intended for an honors calculus course or for an introduction to analysis. Involving rigorous analysis, computational dexterity, and a breadth of applications, it is ideal for undergraduate majors. The book contains many remarkable features: * complete avoidance of /epsilon-/delta arguments by instead using sequences * definition of the integral as the area under the graph, while area is defined for EVERY subset of the plane * complete avoidance of complex numbers * heavy emphasis on computational problems * applications from many parts of analysis, e.g. convex conjugates, Cantor set, continued fractions, Bessel functions, the zeta functions, and many more * 344 problems with solutions in the back of the book

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Other Popular Editions of the Same Title

9781441994875: Introduction to Calculus and Classical Analysis (Undergraduate Texts in Mathematics)

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ISBN 10:  1441994874 ISBN 13:  9781441994875
Publisher: Springer, 2011
Hardcover