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Ars Mathematica | Dedicated to the mathematical arts.

Dedicated to the mathematical arts. Skip to primary content. Skip to secondary content. Nine Chapters on the Semigroup Art. 28 February, 2015. While Googling something or other, I came across Nine Chapters on the Semigroup Art. Which is a leisurely introduction to the theory of semigroups. (While the document is labelled “lecture notes”, the typography is quite beautiful.). What Did Grothendieck Do? 1 January, 2015. Since Descartes, a major topic of mathematics research is understanding the solutions to ...

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Dedicated to the mathematical arts. Skip to primary content. Skip to secondary content. Nine Chapters on the Semigroup Art. 28 February, 2015. While Googling something or other, I came across Nine Chapters on the Semigroup Art. Which is a leisurely introduction to the theory of semigroups. (While the document is labelled “lecture notes”, the typography is quite beautiful.). What Did Grothendieck Do? 1 January, 2015. Since Descartes, a major topic of mathematics research is understanding the solutions to ...

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Ars Mathematica | Dedicated to the mathematical arts. | arsmath.net Reviews

https://arsmath.net

Dedicated to the mathematical arts. Skip to primary content. Skip to secondary content. Nine Chapters on the Semigroup Art. 28 February, 2015. While Googling something or other, I came across Nine Chapters on the Semigroup Art. Which is a leisurely introduction to the theory of semigroups. (While the document is labelled “lecture notes”, the typography is quite beautiful.). What Did Grothendieck Do? 1 January, 2015. Since Descartes, a major topic of mathematics research is understanding the solutions to ...

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A Generalized Fermat Equation | Ars Mathematica

http://www.arsmathematica.net/2013/08/31/a-generalized-fermat-equation

Dedicated to the mathematical arts. Skip to primary content. A Generalized Fermat Equation. 31 August, 2013. I came across a number theory paper Twists of X(7) and Primitive Solutions of x. That I find completely fascinating. I find it fascinating because a) the question is so easy, b) the answer is so hard, and yet c) someone was able to answer it. An earlier expository paper, Faltings plus epsilon, Wiles plus epsilon, and the Generalized Fermat Equation. This entry was posted in Mathematics.

arsmathematica.net

Arguesian Lattices | Ars Mathematica

http://www.arsmathematica.net/2014/09/23/arguesian-lattices

Dedicated to the mathematical arts. Skip to primary content. 23 September, 2014. As is well-known, the lattice of submodules of a module is modular. What I did not know is that the converse is not true, and that lattices of submodules must satisfy a stronger property, the arguesian law. The Arguesian law is a lattice-theoretic analogue of Desargues’ theorem. In projective geometry. I read the statement of the theorem several times and I have no intuition about what it means. 24 September, 2014 at 4:54 am.

arsmathematica.net

What Did Grothendieck Do? | Ars Mathematica

http://www.arsmathematica.net/2015/01/01/what-did-grothendieck-do

Dedicated to the mathematical arts. Skip to primary content. What Did Grothendieck Do? 1 January, 2015. The publicity in the wake of Grothendieck’s death has left a certain number of non-mathematicians with the question of what it was exactly that he did. I wrote an answer elsewhere that people seemed to find informative, so I’m saving it here for posterity. The set of solutions to one or more polynomial equations is called a variety, and the study of such things is called algebraic geometry. On to the W...

crookedtimber.org

The greater generation ? — Crooked Timber

http://crookedtimber.org/2006/02/04/the-greater-generation

February 4, 2006. One of the lazy journalistic tropes I most dislike is the generation. But the game is even sillier when played by those old enough to know better, like Richard Neville. In Salon, Gary Kamiya gently skewers. The latest of the genre, a book claiming that the Boomers are a “Greater Generation” than the one that fought World War II by virtue of their struggles for civil rights, equality and so on. Crucial quote. 020406 at 6:38 am. All the stigma and none of the benefits! 020406 at 7:45 am.

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arsmath.net

Ars Mathematica | Dedicated to the mathematical arts.

Dedicated to the mathematical arts. Skip to primary content. Skip to secondary content. Nine Chapters on the Semigroup Art. 28 February, 2015. While Googling something or other, I came across Nine Chapters on the Semigroup Art. Which is a leisurely introduction to the theory of semigroups. (While the document is labelled “lecture notes”, the typography is quite beautiful.). What Did Grothendieck Do? 1 January, 2015. Since Descartes, a major topic of mathematics research is understanding the solutions to ...

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Ars Mathematica | Dedicated to the mathematical arts.

Dedicated to the mathematical arts. Skip to primary content. Skip to secondary content. Nine Chapters on the Semigroup Art. 28 February, 2015. While Googling something or other, I came across Nine Chapters on the Semigroup Art. Which is a leisurely introduction to the theory of semigroups. (While the document is labelled “lecture notes”, the typography is quite beautiful.). What Did Grothendieck Do? 1 January, 2015. Since Descartes, a major topic of mathematics research is understanding the solutions to ...