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
Share this page via the icons above, or by copying the link below:
Copy To Clipboard
Successfully Copied!
Poincaré’s Legacies, Part II: pages from year two of a mathematical blog
 
Terence Tao University of California, Los Angeles, Los Angeles, CA
Poincare's Legacies, Part II
Softcover ISBN:  978-0-8218-4885-2
Product Code:  MBK/67
List Price: $49.00
MAA Member Price: $44.10
AMS Member Price: $39.20
eBook ISBN:  978-1-4704-1602-7
Product Code:  MBK/67.E
List Price: $45.00
MAA Member Price: $40.50
AMS Member Price: $36.00
Softcover ISBN:  978-0-8218-4885-2
eBook: ISBN:  978-1-4704-1602-7
Product Code:  MBK/67.B
List Price: $94.00 $71.50
MAA Member Price: $84.60 $64.35
AMS Member Price: $75.20 $57.20
Poincare's Legacies, Part II
Click above image for expanded view
Poincaré’s Legacies, Part II: pages from year two of a mathematical blog
Terence Tao University of California, Los Angeles, Los Angeles, CA
Softcover ISBN:  978-0-8218-4885-2
Product Code:  MBK/67
List Price: $49.00
MAA Member Price: $44.10
AMS Member Price: $39.20
eBook ISBN:  978-1-4704-1602-7
Product Code:  MBK/67.E
List Price: $45.00
MAA Member Price: $40.50
AMS Member Price: $36.00
Softcover ISBN:  978-0-8218-4885-2
eBook ISBN:  978-1-4704-1602-7
Product Code:  MBK/67.B
List Price: $94.00 $71.50
MAA Member Price: $84.60 $64.35
AMS Member Price: $75.20 $57.20
  • Book Details
     
     
    2009; 292 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 II of the second-year posts, focusing on geometry, topology, and partial differential equations. The major part of the book consists of lecture notes from Tao's course on the Poincaré conjecture and its recent spectacular solution by Perelman. The course incorporates a review of many of the basic concepts and results needed from Riemannian geometry and, to a lesser extent, from parabolic PDE. The aim is to cover in detail the high-level features of the argument, along with selected specific components of that argument, while sketching the remaining elements, with ample references to more complete treatments. 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, including expository articles on topics such as gauge theory, the Kakeya needle problem, and the Black–Scholes equation. 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 geometry, topology, and partial differential equations.

  • Table of Contents
     
     
    • Chapters
    • Chapter 1. Expository articles
    • Chapter 2. The Poincaré conjecture
  • Reviews
     
     
    • Most of [the articles] are connected in one way or another with Tao's research interests, so if you have research interests that overlap with those of Tao, then it is a great pleasure to read ... Given how broad Tao's research interests are, that applies to just about everyone.

      Mathematical Reviews
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
2009; 292 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 II of the second-year posts, focusing on geometry, topology, and partial differential equations. The major part of the book consists of lecture notes from Tao's course on the Poincaré conjecture and its recent spectacular solution by Perelman. The course incorporates a review of many of the basic concepts and results needed from Riemannian geometry and, to a lesser extent, from parabolic PDE. The aim is to cover in detail the high-level features of the argument, along with selected specific components of that argument, while sketching the remaining elements, with ample references to more complete treatments. 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, including expository articles on topics such as gauge theory, the Kakeya needle problem, and the Black–Scholes equation. 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 geometry, topology, and partial differential equations.

  • Chapters
  • Chapter 1. Expository articles
  • Chapter 2. The Poincaré conjecture
  • Most of [the articles] are connected in one way or another with Tao's research interests, so if you have research interests that overlap with those of Tao, then it is a great pleasure to read ... Given how broad Tao's research interests are, that applies to just about everyone.

    Mathematical Reviews
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
You may be interested in...
Please select which format for which you are requesting permissions.