Mathematical Analysis II by V. A. Zorich (Hardcover, 2016)

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ISBN-13: 9783662489918, 978-3662489918. Mathematical Analysis II. course in analysis, leading from real numbers to such advanced topics as. complex analysis, and functional analysis. This book provides a firm foundation.

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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.

Product Identifiers

PublisherSpringer-Verlag Berlin AND Heidelberg Gmbh & Co. KG
ISBN-139783662489918
eBay Product ID (ePID)224051593

Product Key Features

Number of Pages720 Pages
Publication NameMathematical Analysis Ii
LanguageEnglish
SubjectMathematics, Physics
Publication Year2016
TypeTextbook
AuthorV. A. Zorich
SeriesUniversitext
FormatHardcover

Dimensions

Item Height235 mm
Item Width155 mm

Additional Product Features

Country/Region of ManufactureGermany
Title_AuthorV. A. Zorich

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