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Poincare's Legacies, Part I: pages from year two of a mathematical blog download epub

by Terence Tao


Epub Book: 1783 kb. | Fb2 Book: 1890 kb.

I have recently finished a draft version of my blog book Poincaré’s legacies: pages from year .

The draft is much longer – 694 pages – than the analogous draft from 2007 (which was 374 pages using the same style files).

This book grew from such a blog. The posts from 2008 are being published in two volumes. The articles from the first year of that blog have already been published by the AMS. This book is Part I of the second-year posts, focusing on ergodic theory, combinatorics, and number theory.

Poincare's Legacies, Part. has been added to your Cart. Paperback: 292 pages. Publisher: American Mathematical Society (August 17, 2009).

Title (HTML): Poincaré’s Legacies, Part I: pages from year two of a. .This book is Part I of the second-year posts, focusing on ergodic theory, combinatorics, and number theory

Title (HTML): Poincaré’s Legacies, Part I: pages from year two of a mathematical blog. Chapter 2 consists of lecture notes from Tao's course on topological dynamics and ergodic theory.

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 Poincare conjecture and its recent spectacular solution by Perelman. 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.

Poincare's legacies - TAO, terence. Terence Tao. ISBN-13. American Mathematical Society(RI).

Terence Tao. Paperback published 2009-08-15 by American Mathematical Society. Alert if: New Price below.

The two courses stemmed from two very dierent but fundamental contributions to mathematics by Henri Poincar´e . I will however mention a few notational conventions that I will use throughout

The two courses stemmed from two very dierent but fundamental contributions to mathematics by Henri Poincar´e, which explains the title of the book. The rst course (Chapter 2) was on the topics of topological dy-namics and ergodic theory, which originated in part from Poincar´e’s pioneering work in chaotic dynamical systems. I will however mention a few notational conventions that I will use throughout. The cardinality of a nite set E will be denoted E. We will use the asymptotic notation X O(Y ), X Y, or Y X to denote the estimate X ≤ CY for some absolute constant C 0. In some cases we will need this constant C to depend on a parameter (. d), in which case we. The major part of the book consists of lecture notes from Tao's course on the Poincare conjecture and its recent spectacular solution by Perelman

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 Poincare conjecture and its recent spectacular solution by Perelman

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.
Poincare's Legacies, Part I: pages from year two of a mathematical blog download epub
Science & Mathematics
Author: Terence Tao
ISBN: 0821848836
Category: Other
Subcategory: Science & Mathematics
Language: English
Publisher: American Mathematical Society (July 17, 2009)
Pages: 293 pages