ENGLISH

Introduction to Calculus and Classical Analysis

By Hijab O.

Book information

Publisher
Springer
Year
1997
ISBN
0-38794926
Language
english
Format
DJVU
Filesize
6 MB (6247214 bytes)
Series
Undergraduate Texts in Mathematics
Edition
1st edition
Pages
330\330
Library
mexmat
Time added
2009-07-20 03:45:11

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. 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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