Item Successfully Added to Cart
An error was encountered while trying to add the item to the cart. Please try again.
OK
Please make all selections above before adding to cart
OK
The following link can be shared to navigate to this page. You can select the link to copy or click the 'Copy To Clipboard' button below.
Copy To Clipboard
Successfully Copied!
Poincaré’s Legacies, Part I: pages from year two of a mathematical blog
 
Terence Tao University of California, Los Angeles, Los Angeles, CA
Front Cover for Poincare's Legacies, Part I
Available Formats:
Softcover ISBN: 978-0-8218-4883-8
Product Code: MBK/66
List Price: $44.00
MAA Member Price: $39.60
AMS Member Price: $35.20
Electronic ISBN: 978-1-4704-1601-0
Product Code: MBK/66.E
List Price: $41.00
MAA Member Price: $36.90
AMS Member Price: $32.80
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $66.00
MAA Member Price: $59.40
AMS Member Price: $52.80
Front Cover for Poincare's Legacies, Part I
Click above image for expanded view
  • Front Cover for Poincare's Legacies, Part I
  • Back Cover for Poincare's Legacies, Part I
Poincaré’s Legacies, Part I: pages from year two of a mathematical blog
Terence Tao University of California, Los Angeles, Los Angeles, CA
Available Formats:
Softcover ISBN:  978-0-8218-4883-8
Product Code:  MBK/66
List Price: $44.00
MAA Member Price: $39.60
AMS Member Price: $35.20
Electronic ISBN:  978-1-4704-1601-0
Product Code:  MBK/66.E
List Price: $41.00
MAA Member Price: $36.90
AMS Member Price: $32.80
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $66.00
MAA Member Price: $59.40
AMS Member Price: $52.80
  • Book Details
     
     
    2009; 293 pp
    MSC: Primary 00;

    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 non-rigorous 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 non-technical puzzles and expository articles. The articles from the first year of that blog have already been published by the AMS. The posts from 2008 are being published in two volumes.

    This book is Part I of the second-year posts, focusing on ergodic theory, combinatorics, and number theory. Chapter 2 consists of lecture notes from Tao's course on topological dynamics and ergodic theory. By means of various correspondence principles, recurrence theorems about dynamical systems are used to prove some deep theorems in combinatorics and other areas of mathematics. The lectures are as self-contained as possible, focusing more on the “big picture” than on technical details.

    In addition to these lectures, a variety of other topics are discussed, ranging from recent developments in additive prime number theory to expository articles on individual mathematical topics such as the law of large numbers and the Lucas–Lehmer test for Mersenne primes. Some selected comments and feedback from blog readers have also been incorporated into the articles.

    The book is suitable for graduate students and research mathematicians interested in broad exposure to mathematical topics.

    Readership

    Graduate students and research mathematicians interested in mathematics in general with a focus on ergodic theory, combinatorics, and number theory.

  • Table of Contents
     
     
    • Chapters
    • Chapter 1. Expository articles
    • Chapter 2. Ergodic theory
    • Chapter 3. Lectures in additive prime number theory
  • Reviews
     
     
    • Tao's mathematical knowledge has an extraordinary combination of breadth and depth: he can write confidently and authoritatively on topics ... Reading these extended discussions in book form will, for many people at least, be easier than reading them on the blog.

      Mathematical Reviews
    • [This book] is demanding, entertaining, provides you with the big picture behind the sometimes technical results, and certainly gives you your money's worth. ... Armed with a minimal background in number theory, these lectures can be read with profit by advanced undergraduates.

      Zentralblatt MATH
  • Request Review Copy
  • Get Permissions
2009; 293 pp
MSC: Primary 00;

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 non-rigorous 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 non-technical puzzles and expository articles. The articles from the first year of that blog have already been published by the AMS. The posts from 2008 are being published in two volumes.

This book is Part I of the second-year posts, focusing on ergodic theory, combinatorics, and number theory. Chapter 2 consists of lecture notes from Tao's course on topological dynamics and ergodic theory. By means of various correspondence principles, recurrence theorems about dynamical systems are used to prove some deep theorems in combinatorics and other areas of mathematics. The lectures are as self-contained as possible, focusing more on the “big picture” than on technical details.

In addition to these lectures, a variety of other topics are discussed, ranging from recent developments in additive prime number theory to expository articles on individual mathematical topics such as the law of large numbers and the Lucas–Lehmer test for Mersenne primes. Some selected comments and feedback from blog readers have also been incorporated into the articles.

The book is suitable for graduate students and research mathematicians interested in broad exposure to mathematical topics.

Readership

Graduate students and research mathematicians interested in mathematics in general with a focus on ergodic theory, combinatorics, and number theory.

  • Chapters
  • Chapter 1. Expository articles
  • Chapter 2. Ergodic theory
  • Chapter 3. Lectures in additive prime number theory
  • Tao's mathematical knowledge has an extraordinary combination of breadth and depth: he can write confidently and authoritatively on topics ... Reading these extended discussions in book form will, for many people at least, be easier than reading them on the blog.

    Mathematical Reviews
  • [This book] is demanding, entertaining, provides you with the big picture behind the sometimes technical results, and certainly gives you your money's worth. ... Armed with a minimal background in number theory, these lectures can be read with profit by advanced undergraduates.

    Zentralblatt MATH
You may be interested in...
Please select which format for which you are requesting permissions.