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Analysis II by Terence Tao (Hardcover, 2014)

About this product

About this product

Product Information

This is part two of a two-volume book on real analysis and is intended for senior undergraduate students of mathematics who have already been exposed to calculus. The emphasis is on rigour and foundations of analysis. Beginning with the construction of the number systems and set theory, the book discusses the basics of analysis (limits, series, continuity, differentiation, Riemann integration), through to power series, several variable calculus and Fourier analysis, and then finally 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. The book also has appendices on mathematical logic and the decimal system. The entire text (omitting some less central topics) can be taught in two quarters of 25-30 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.

Product Identifiers

Publisher
Hindustan Book Agency
ISBN-13
9789380250656
eBay Product ID (ePID)
209199167

Product Key Features

Author
Terence Tao
Publication Name
Analysis II
Format
Hardcover
Language
English
Subject
Mathematics
Publication Year
2014
Type
Textbook
Number of Pages
236 Pages

Dimensions

Item Height
254mm
Item Width
178mm

Additional Product Features

Title_Author
Terence Tao
Series Title
Texts and Readings in Mathematics
Country/Region of Manufacture
India

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