Introduction to Calculus and Classical Analysis

By:

Omar Hijab

Format:

Paperback / softback

Series:

Undergraduate Texts in Mathematics

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Description

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. This third edition includes corrections as well as some additional material. Some features of the text: The text is completely self-contained and starts with the real number axioms; The integral is defined as the area under the graph, while the area is defined for every subset of the plane; There is a heavy emphasison computational problems, from the high-school quadratic formula to the formula for the derivative of the zeta function at zero; There are applications from many parts of analysis, e.g., convexity, the Cantor set, continued fractions, the AGM, the theta and zeta functions, transcendental numbers, the Bessel and gamma functions, and many more; Traditionally transcendentally presented material, such as infinite products, the Bernoulli series, and the zeta functional equation, is developed over the reals; There are 385 problems with all the solutions at the back of the text.

Release date NZ

April 19th, 2013

Author

Omar Hijab

Audience

Professional & Vocational

Edition

Softcover reprint of hardcover 3rd ed. 2011

Illustrations

XII, 364 p.

Pages

364

Series

Undergraduate Texts in Mathematics

Dimensions

156x234x19

ISBN-13

9781461428428

Product ID

21342874

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Introduction to Calculus and Classical Analysis

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