About this product

Product Identifiers

PublisherHindustan Book Agency

ISBN-108195196128

ISBN-139788195196128

eBay Product ID (ePID)4069260311

Product Key Features

Number of Pages242 Pages

LanguageEnglish

Publication NameAnalysis II

SubjectGeneral

Publication Year2022

FeaturesNew Edition

TypeTextbook

AuthorTerence Tao

Subject AreaMathematics

FormatHardcover

Dimensions

Item Height0.9 in

Item Weight16.9 Oz

Item Length9.9 in

Item Width6.6 in

Additional Product Features

Edition Number4

Intended AudienceScholarly & Professional

Dewey Edition23

Dewey Decimal515

Edition DescriptionNew Edition

SynopsisThis is part two of a two-volume introduction to real analysis and is intended for honours undergraduates who have already been exposed to calculus. The emphasis is on rigour and on foundations. The material starts at the very beginning--the construction of the number systems and set theory--then goes on to the basics of analysis (limits, series, continuity, differentiation, Riemann integration), through to power series, several variable calculus and Fourier analysis, and finally to the Lebesgue integral. These are almost entirely set in the concrete setting of the real line and Euclidean spaces, although there is some material on abstract metric and topological spaces. There are also appendices on mathematical logic and the decimal system. The entire text (omitting some less central topics) can be taught in two quarters of twenty-five to thirty lectures each. The course material is deeply intertwined with the exercises, as it is intended that the student actively learn the material (and practice thinking and writing rigorously) by proving several of the key results in the theory. The fourth edition incorporates a large number of additional corrections reported since the release of the third edition, as well as some additional new exercises., Part two of a two-volume introduction to real analysis. The emphasis is on rigour and on foundations. The material starts at the very beginning - the construction of the number systems and set theory - then goes on to the basics of analysis, through to power series, variable calculus and Fourier analysis, and finally to the Lebesgue integral.

LC Classification NumberQA303.2.T3 2022