|Preface||Preview Material||Table of Contents||Supplementary Material|| || || |
2011; 248 pp; softcover
List Price: US$45
Member Price: US$36
Order Code: MBK/77
An Epsilon of Room, I: Real Analysis: pages from year three of a mathematical blog - Terence Tao
Poincaré's Legacies, Part II: pages from year two of a mathematical blog - Terence Tao
Poincaré's Legacies, Part I: pages from year two of a mathematical blog - Terence Tao
Structure and Randomness: pages from year one of a mathematical blog - Terence Tao
There are many bits and pieces of folklore in mathematics that are passed down from advisor to student, or from collaborator to collaborator, but which are too fuzzy and nonrigorous to be discussed in the formal literature. Traditionally, it was a matter of luck and location as to who learned such "folklore mathematics". But today, such bits and pieces can be communicated effectively and efficiently via the semiformal medium of research blogging. This book grew from such a blog.
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. This second volume contains a broad selection of mathematical expositions and self-contained technical notes in many areas of mathematics, such as logic, mathematical physics, combinatorics, number theory, statistics, theoretical computer science, and group theory. Tao has an extraordinary ability to explain deep results to his audience, which has made his blog quite popular. Some examples of this facility in the present book are the tale of two students and a multiple-choice exam being used to explain the \(P = NP\) conjecture and a discussion of "no self-defeating object" arguments that starts from a schoolyard number game and ends with results in logic, game theory, and theoretical physics.
The first volume consists of a second course in real analysis, together with related material from the blog, and it can be read independently.
Undergraduates, graduate students, and research mathematicians interested in all areas of mathematics.
"Overall, this is a fascinating book in which to dabble, with much elegance, and much that will inspire the reader. It is recommended to all readers from graduate students up."
-- Mathematical Reviews
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