About this product

Product Identifiers

PublisherDover Publications, Incorporated

ISBN-100486458040

ISBN-139780486458045

eBay Product ID (ePID)58410965

Product Key Features

Number of Pages432 Pages

LanguageEnglish

Publication NameAnalysis in Euclidean Space

SubjectCalculus, Geometry / Algebraic, Mathematical Analysis

Publication Year2007

TypeTextbook

Subject AreaMathematics

AuthorKenneth Hoffman

SeriesDover Books on Mathematics Ser.

FormatPerfect

Dimensions

Item Height0.9 in

Item Weight16.2 Oz

Item Length8.4 in

Item Width5.6 in

Additional Product Features

Intended AudienceCollege Audience

LCCN2006-053462

Dewey Edition23

IllustratedYes

Dewey Decimal515

SynopsisDeveloped for an introductory course in mathematical analysis at MIT, this text focuses on concepts, principles, and methods. Its introductions to real and complex analysis are closely formulated, and they constitute a natural introduction to complex function theory. Starting with an overview of the real number system, the text presents results for subsets and functions related to Euclidean space of n dimensions. It offers a rigorous review of the fundamentals of calculus, emphasizing power series expansions and introducing the theory of complex-analytic functions. Subsequent chapters cover sequences of functions, normed linear spaces, and the Lebesgue interval. They discuss most of the basic properties of integral and measure, including a brief look at orthogonal expansions. A chapter on differentiable mappings concludes the text, addressing implicit and inverse function theorems and the change of variable theorem. Exercises appear throughout the book, and extensive supplementary material includes a bibliography, list of symbols, index, and appendix with background in elementary set theory, Developed for an introductory course in mathematical analysis at MIT, this text focuses on concepts, principles, and methods. The introductions to real and complex analysis are closely formulated, and they constitute a natural introduction to complex function theory. Supplementary material and exercises appear throughout the text. 1975 edition., Developed for a beginning course in mathematical analysis, this text focuses on concepts, principles, and methods, offering& introductions to real and complex analysis and complex function theory. 1975 edition., Developed for a beginning course in mathematical analysis, this text focuses on concepts, principles, and methods, offering introductions to real and complex analysis and complex function theory. 1975 edition.

LC Classification NumberQA300.H63 2007