User pi2000 - MathOverflowmost recent 30 from http://mathoverflow.net2013-06-18T05:53:57Zhttp://mathoverflow.net/feeds/user/4778http://www.creativecommons.org/licenses/by-nc/2.5/rdfhttp://mathoverflow.net/questions/111097/textbook-for-undergraduate-course-in-geometry/111114#111114Answer by pi2000 for Textbook for undergraduate course in geometrypi20002012-11-01T06:13:04Z2012-11-01T06:13:04Z<p>Have you seen the book "Geometry by Its History" by Ostermann/Wanner?It looks anything but boring.I liked it very much!It has plenty of interestig mathematics.Maybe you record the lectures and put them on net...</p>
http://mathoverflow.net/questions/10516/uniformization-theorem-for-riemann-surfaces/103994#103994Answer by pi2000 for Uniformization theorem for Riemann surfacespi20002012-08-05T05:36:22Z2012-08-05T05:36:22Z<p>There is an entire book dedicated to this theorem:Uniformisation des surfaces de Riemann-Henri Paul de Saint-Gervais=
(Aurélien Alvarez, Christophe Bavard, François Béguin, Nicolas Bergeron, Maxime Bourrigan, Bertrand Deroin, Sorin Dumitrescu, Charles Frances, Étienne Ghys, Antonin Guilloux, Frank Loray, Patrick Popescu-Pampu, Pierre Py, Bruno Sévennec, Jean-Claude Sikorav.)
<a href="http://www.amazon.fr/Uniformisation-surfaces-Riemann-th%C3%A9or%C3%A8me-centenaire/dp/2847882332/ref=sr_1_1?s=books&ie=UTF8&qid=1344144095&sr=1-1" rel="nofollow">http://www.amazon.fr/Uniformisation-surfaces-Riemann-th%C3%A9or%C3%A8me-centenaire/dp/2847882332/ref=sr_1_1?s=books&ie=UTF8&qid=1344144095&sr=1-1</a>
A lot of historical insight!</p>
<p>Here you find some video-lectures on the same subject by one of the authors:Etienne Ghys:</p>
<p><a href="http://video.impa.br/index.php?page=escola-de-altos-estudos-the-uniformization-theorem-old-and-new" rel="nofollow">http://video.impa.br/index.php?page=escola-de-altos-estudos-the-uniformization-theorem-old-and-new</a></p>
http://mathoverflow.net/questions/12709/are-there-any-books-that-take-a-theorems-as-problems-approach/96946#96946Answer by pi2000 for Are there any books that take a 'theorems as problems' approach?pi20002012-05-14T20:43:05Z2012-05-14T20:43:05Z<p>Finite-Dimensional Linear Analysis: A Systematic Presentation in Problem Form (Dover Books on Mathematics) by Glazman-Ljubic
A (difficult)introduction to finite analysis(no solutions)</p>
<p>Theorie des groupes -Jean Delcourt(in french)
(has solutions)</p>
http://mathoverflow.net/questions/54430/video-lectures-of-mathematics-courses-available-online-for-free/54676#54676Answer by pi2000 for Video lectures of mathematics courses available online for freepi20002011-02-07T18:10:33Z2011-02-07T19:58:57Z<p>Miles Reid's lectures on <a href="http://www.mathnet.or.kr/new_VOD/sub1.php?key_s_title=Lectures+on+Basic+Algebraic+Geometry+by+Miles+Reid+%28WCU+project%29" rel="nofollow">Algebraic Geometry</a> and <a href="http://vod.mathnet.or.kr/sub1.php?key_s_title=Lectures+on+Algebraic+Surfaces+by+Miles+Reid+%28WCU+project%29" rel="nofollow">Algebraic Surfaces</a>.</p>
http://mathoverflow.net/questions/35843/what-would-be-your-suggestion-of-textbooks-in-lie-groups-and-galois-theory/35857#35857Answer by pi2000 for What would be your suggestion of textbooks in Lie groups and Galois theory?pi20002010-08-17T11:40:20Z2010-08-17T11:40:20Z<p>1.Lie Groups:
M.Postnikov
Lie Groups and Lie Algebras-vol5 of his Lectures in Geometry;
as a bonus not systematic but deep and witty:
Roger Godement-Introduction à la théorie des groupes de Lie(french)</p>
<p>2.Galois Theory:
H.M Edwards -Galois Theory
Not much "abstract nonsense", with historical insight</p>
<p>V.B. Alekseev-Abel's Theorem In Problems And Solutions: Based on the lectures of Professor V.I.Arnold</p>
http://mathoverflow.net/questions/17778/books-you-would-like-to-see-translated-into-english/30391#30391Answer by pi2000 for Books you would like to see translated into English.pi20002010-07-03T10:14:18Z2010-07-03T10:14:18Z<p>Einfuhrung in die Algebraische Geometrie-B.L. van der WAERDEN</p>
http://mathoverflow.net/questions/13/learning-about-lie-groups/29525#29525Answer by pi2000 for Learning about Lie groupspi20002010-06-25T16:17:32Z2010-06-25T16:17:32Z<p>Roger Godement-Introduction a la theorie des groupes de Lie-Springer(only in french as far as I know).An introduction to Lie groups via linear groups(with John von Neumann in backstage..)
and a touch of Hilbert 5th problem...Very fun, as always with Godement</p>
http://mathoverflow.net/questions/2147/most-helpful-math-resources-on-the-web/22558#22558Answer by pi2000 for Most helpful math resources on the webpi20002010-04-26T03:39:56Z2010-04-26T03:39:56Z<p>For students (or even teachers!),the Abdus Salam International Centre for Theoretical Physics has lots of lectures in Advanced Math.Every year the lectures are different.Enjoy!
<a href="http://www.ictp.tv/diploma/index08-09.php?activityid=MTH" rel="nofollow">http://www.ictp.tv/diploma/index08-09.php?activityid=MTH</a></p>
http://mathoverflow.net/questions/1714/best-online-mathematics-videos/22524#22524Answer by pi2000 for Best online mathematics videos?pi20002010-04-25T19:07:33Z2010-04-25T19:07:33Z<p>The Abdus Salam International Centre for Theoretical Physics has lots of lectures in mathematics and physics.Some of them are difficult to find in other places(Complex Analysis,Abstract Algebra,Topology,Functional Analysis,Algebraic Geometry..).For the same topic(ex:Complex Analysis)there are lectures by 2 ore more lecturers so you can choose.
<a href="http://www.ictp.it/" rel="nofollow">http://www.ictp.it/</a>
http://www.ictp.tv/diploma/index07-08.php?activityid=MTH
<a href="http://www.ictp.tv/diploma/index08-09.php?activityid=MTH" rel="nofollow">http://www.ictp.tv/diploma/index08-09.php?activityid=MTH</a></p>
http://mathoverflow.net/questions/13555/a-book-for-problems-in-functional-analysis/20911#20911Answer by pi2000 for A book for problems in Functional Analysispi20002010-04-10T10:45:39Z2010-04-10T10:45:39Z<p>Finite-Dimensional Linear Analysis: A Systematic Presentation in Problem Form
I. M. Glazman , Ju. I. Ljubic
You will learn (finite)functional analysis by solving problems.(not the easiest way..)
<a href="http://www.amazon.com/Finite-Dimensional-Linear-Analysis-Systematic-Presentation/dp/0486453324/ref=sr_1_5?ie=UTF8&s=books&qid=1270895647&sr=1-5" rel="nofollow">http://www.amazon.com/Finite-Dimensional-Linear-Analysis-Systematic-Presentation/dp/0486453324/ref=sr_1_5?ie=UTF8&s=books&qid=1270895647&sr=1-5</a></p>
http://mathoverflow.net/questions/10282/alternative-undergraduate-analysis-texts/18867#18867Answer by pi2000 for Alternative Undergraduate Analysis Textspi20002010-03-20T18:22:00Z2010-03-20T18:31:15Z<p>Roger Godement Analysis(I-IV-in french,I-II-in english)contains more than Bourbaki's "Functions of one real variable",has motivation and historical insight(not quite a textbook however..)</p>
http://mathoverflow.net/questions/10516/uniformization-theorem-for-riemann-surfaces/103994#103994Comment by pi2000pi20002012-08-05T06:08:23Z2012-08-05T06:08:23ZIt is the same book as in Ben McKay answer.(sorry),but the link to video is newhttp://mathoverflow.net/questions/10516/uniformization-theorem-for-riemann-surfaces/103994#103994Comment by pi2000pi20002012-08-05T06:05:50Z2012-08-05T06:05:50ZThe book is in french,but the lectures are in english.http://mathoverflow.net/questions/54430/video-lectures-of-mathematics-courses-available-online-for-free/54676#54676Comment by pi2000pi20002012-01-15T09:43:36Z2012-01-15T09:43:36ZYou can watch them with Windows Media Player.http://mathoverflow.net/questions/54430/video-lectures-of-mathematics-courses-available-online-for-free/54676#54676Comment by pi2000pi20002011-02-07T18:45:09Z2011-02-07T18:45:09ZI like very much his books(including side blows).The lectures are witty..