ENGLISH

Mathematical analysis 1

By Roger Cooke , V. A. Zorich

Book information

Publisher
Springer
Year
2004
ISBN
9783540403869, 3540403868
Open Library ID
OL15578026M
Language
english
Format
DJVU
Filesize
6 MB (5811981 bytes)
Series
Universitext
Edition
1
Pages
576\576
Library
kolxoz
DPI
200
Time added
2009-07-20 03:45:11

Description

This two-volume work by V.A. Zorich on Mathematical Analysis constitutes a thorough first course in real analysis, leading from the most elementary facts about real numbers to such advanced topics as differential forms on manifolds, asymptotic methods, Fourier, Laplace, and Legendre transforms, and elliptic functions. With masterful exposition, the author provides a smooth, gradual transition from each topic to the next, so that the slope never feels too steep for the reader. Making use of Cartan's concept of a filter base, the author disperses the fog of epsilons and deltas that have always made the crucial subject of limits a barrier for the nonmathematical specialist. As a result, the major theorems of differentiation and integration reveal their essential unity in a nearly painless manner. The clarity of the exposition is matched by a wealth of instructive exercises and fresh applications to areas seldom touched on in real analysis books, many of which are taken from physics and technology.

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