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Terence Tao An Epsilon of Room, I: Real Analysis (Paperback) (UK IMPORT) - Picture 1 of 1
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Terence Tao An Epsilon of Room, I: Real Analysis (Paperback) (UK IMPORT)

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Item specifics

Condition
Brand New: A new, unread, unused book in perfect condition with no missing or damaged pages. See the ...
Book Title
Epsilon of Room, I: Real Analysis : Pages from Year Three of a Mathematical Blog
Publication Name
An Epsilon of Room, I: Real Analysis
Title
An Epsilon of Room, I: Real Analysis
Subtitle
pages from year three of a mathematical blog
Author
Terence Tao
Format
Trade Paperback
EAN
9781470471613
ISBN
9781470471613
Publisher
American Mathematical Society
Genre
Science Nature & Math
Release Date
30/01/2010
Release Year
2010
Language
English
Country/Region of Manufacture
US
Series
Graduate Studies in Mathematics
Number of Pages
349 Pages

About this product

Product Information

In 2007 Terry Tao began a mathematical blog to cover a variety of topics, ranging from his own research and other recent developments in mathematics, to lecture notes for his classes, to nontechnical puzzles and expository articles. The first two years of the blog have already been published by the American Mathematical Society. The posts from the third year are being published in two volumes. The present volume consists of a second course in real analysis, together with related material from the blog. The real analysis course assumes some familiarity with general measure theory, as well as fundamental notions from undergraduate analysis. The text then covers more advanced topics in measure theory, notably the Lebesgue-Radon-Nikodym theorem and the Riesz representation theorem, topics in functional analysis, such as Hilbert spaces and Banach spaces, and the study of spaces of distributions and key function spaces, including Lebesgue's $L^p$ spaces and Sobolev spaces. There is also a discussion of the general theory of the Fourier transform. The second part of the book addresses a number of auxiliary topics, such as Zorn's lemma, the Caratheodory extension theorem, and the Banach-Tarski paradox. Tao also discusses the epsilon regularisation argument--a fundamental trick from soft analysis, from which the book gets its title. Taken together, the book presents more than enough material for a second graduate course in real analysis. The second volume consists of technical and expository articles on a variety of topics and can be read independently.

Product Identifiers

Publisher
American Mathematical Society
ISBN-10
1470471612
ISBN-13
9781470471613
eBay Product ID (ePID)
20057258986

Product Key Features

Book Title
Epsilon of Room, I: Real Analysis : Pages from Year Three of a Mathematical Blog
Author
Terence Tao
Format
Trade Paperback
Language
English
Number of Pages
349 Pages

Additional Product Features

Series Volume Number
117
Lccn
2010-036469
Series
Graduate Studies in Mathematics Ser.

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