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

Omar Hijab

ISBN 10: 0387949267 / ISBN 13: 9780387949260

Published by Springer, 1997

About this Item

Seller Inventory # mon0003731841

Bibliographic Details

Title: Introduction to Calculus and Classical ...

Publisher: Springer

Publication Date: 1997

Binding: Hardcover

Condition: Very Good

About this title

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

Review:

Reviews from previous editions:

"This is a very intriguing, decidedly unusual, and very satisfying treatment of calculus and introductory analysis. It's full of quirky little approaches to standard topics that make one wonder over and over again, 'Why is it never done like this?'"

―John Allen Paulos, author of Innumeracy and A Mathematician Reads the Newspaper