V A Zorich

(Author)

Mathematical Analysis I (Softcover Reprint of the Original 2nd 2015)Paperback - Softcover Reprint of the Original 2nd 2015, 25 April 2018

Mathematical Analysis I (Softcover Reprint of the Original 2nd 2015)
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Part of Series
Universitext
Print Length
616 pages
Language
English
Publisher
Springer
Date Published
25 Apr 2018
ISBN-10
3662569558
ISBN-13
9783662569559

Description

This second edition of a very popular two-volume work presents a thorough first course in analysis, leading from real numbers to such advanced topics as differential forms on manifolds; asymptotic methods; Fourier, Laplace, and Legendre transforms; elliptic functions; and distributions. Especially notable in this course are the clearly expressed orientation toward the natural sciences and the informal exploration of the essence and the roots of the basic concepts and theorems of calculus. Clarity of exposition is matched by a wealth of instructive exercises, problems, and fresh applications to areas seldom touched on in textbooks on real analysis.

The main difference between the second and first editions is the addition of a series of appendices to each volume. There are six of them in the first volume and five in the second. The subjects of these appendices are diverse. They are meant to be useful to both students (in mathematics and physics) and teachers, who may be motivated by different goals. Some of the appendices are surveys, both prospective and retrospective. The final survey establishes important conceptual connections between analysis and other parts of mathematics.

The first volume constitutes a complete course in one-variable calculus along with the multivariable differential calculus elucidated in an up-to-date, clear manner, with a pleasant geometric and natural sciences flavor.

Product Details

Author:
V A Zorich
Book Edition:
Softcover Reprint of the Original 2nd 2015
Book Format:
Paperback
Country of Origin:
NL
Date Published:
25 April 2018
Dimensions:
23.39 x 15.6 x 3.25 cm
ISBN-10:
3662569558
ISBN-13:
9783662569559
Language:
English
Location:
Berlin, Heidelberg
Pages:
616
Publisher:
Weight:
879.97 gm

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