The AMS has just notified me that the book version of the first year of my blog, now retitled “Structure and Randomness: pages from year one of a mathematical blog“, is now available. An official web page for this book has also been set up here, though it is fairly empty at present. A (2MB) high-resolution PDF file of the cover can be found here.

I plan to start on converting this year’s blog posts to book form in January, and hopefully the process should be a little faster this time. Given that my lecture notes on ergodic theory and on the Poincaré conjecture will form the bulk of that book, I have chosen the working title for that book to be “Poincaré’s legacies: pages from year two of a mathematical blog“.

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24 November, 2008 at 12:09 am

tomDear Terry, that’s great news! Congratulations on your dedication to have things done right (the high quality of your blog first, and then the AMS are great publishers indeed IMHO, and the price is low enough so that many libraries and students can afford it I’m sure).

24 November, 2008 at 2:53 am

Michael Nielsen » Biweekly links for 11/24/2008[…] Structure and Randomness: pages from year one of mathematical blog « What’s new […]

24 November, 2008 at 4:11 am

John SidlesTerry, your weblog is a gold mine of theorems, algorithms, and ideas for doing system engineering and simulation science … and I think that many people, from many disciplines, discover similar resources in your writings.

But what I admire most about this weblog is its generosity of spirit, and its embodiment of the sheer enjoyment of doing mathematics.

This series of books will distill and preserve that generosity and that enjoyment of doing mathematics.

For which, thank you

verymuch.24 November, 2008 at 12:05 pm

Danielle FongTerry,

You’re an inspiration to me, my own work, and my own writing. I feel blessed by your advice, inspired by the depth of your writings, and encouraged by the accessibility of your educational posts. Most of all I am appreciative of the fact that you are helping lead the way into a new era for scientific publishing, wherein barriers fade, one holds *themselves* to a high standard, and then one simply posts to a blog. It has helped change my life; I can still do real science, even while remaining outside the university. When I think of something, or work something out, I just fire up wordpress, and write a draft. Ideas flow.

I am very happy that blogging has been so productive for you as well. Congratulations on your book! May this year continue to go just as well.

24 November, 2008 at 3:52 pm

John SidlesDanielle Fong, please let me say that your post was wonderful.

I hope you don’t mind my saying that your blog is terrific and that your company Lightsail Designs looks like it is doing work that is interesting *and* important.

It is very fun that so many mechanical engineers read and appreciate Terry’s blog (our QSE lab is in ME). This makes the title of Terry’s forthcoming book,

Poincaré’s Legacies, seem even more appropriate … because after all, Poincaré’ worked all his life as a practicing engineer! :)A great many of Poincaré’s mathematical discoveries proved to be useful for engineering purposes … perhaps the same thing will prove true of Terry’s work (especially now that engineers are reading this weblog). :)

24 November, 2008 at 10:46 pm

Jonathan Vos PostKiyoshi Ito, 93, Mathematician Who Described Random Motion, Dies

By STEVE LOHR

The New York Times

November 24, 2008

Kiyoshi Ito, a mathematician whose innovative models of random motion are used today in fields as diverse as finance and biology, died Nov. 10 at a hospital in Kyoto, Japan. He was 93.

His death was confirmed by his daughter, Junko Ito.

Mr. Ito is known for his contributions to probability theory, the study of randomness. His work, starting in the 1940s, built on the earlier breakthroughs of Albert Einstein and Norbert Wiener. Mr. Ito’s mathematical framework for describing the evolution of random phenomena came to be known as the Ito Calculus.

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25 November, 2008 at 10:51 am

HaraldI don’t remember whether I said this at the time, but the group A that is being acted upon need not be abelian – only the group G acting on it needs to be. (I do not know to what extent the latter requirement is a consequence of the limitations of the proof we know and to what extent it is a feature of reality.)

2 December, 2008 at 6:50 pm

DougHi Terence,

Your lecture series on Ergodic Theory led to my interest in Mathematical Dynamics. I have found this appled by thermophysicsts in the Springer book:

SV Alekseenko, PA Kuibin, VL Okulov,

Theory of Concentrated Vortices: An Introduction

They seem to move from a 2D globally flat surface to an equivalent 3D cylindirical surface that is globally curved. Both surfaces are locally flat. The diagonal of the former is replaced by helix in the latter.

They discuss Beltrami flows. These seem primary to secondary Ricci flows which create bubbles in fluids; planets and stars in the cosmos through the Laplace-Beltrami Operator?

10 May, 2013 at 10:04 pm

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5 June, 2013 at 3:57 am

ani shedrackprof terence tao,i am so happy about your post.ever since i know you on net ,you have being an inspiration to me.although i am a physics student,i have a special interest for math.it gives me joy to see one like you, who have fine mathematical insight and does it with so much ease.

19 June, 2013 at 7:15 am

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