Mathematical Analysis II (Hardcover, 2nd ed. 2016)

This second English 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 English 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. This second volume presents classical analysis in its current form as part of a unified mathematics. It shows how analysis interacts with other modern fields of mathematics such as algebra, differential geometry, differential equations, complex analysis, and functional analysis. This book provides a firm foundation for advanced work in any of these directions.

General

Imprint:	Springer-Verlag
Country of origin:	Germany
Series:	Universitext
Release date:	February 2016
First published:	2016
Authors:	V. A. Zorich
Translators:	Roger Cooke • Octavio Paniagua
Dimensions:	235 x 155 x 43mm (L x W x T)
Format:	Hardcover - Cloth over boards
Pages:	720
Edition:	2nd ed. 2016
ISBN-13:	978-3-662-48991-8
Languages:	English
Subtitles:	Russian
Categories:	Books > Science & Mathematics > Physics > General Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Vector & tensor analysis Books > Science & Mathematics > Mathematics > Applied mathematics > General
LSN:	3-662-48991-0
Barcode:	9783662489918

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