tag:blogger.com,1999:blog-8062754651764668865.post6572942340427838811..comments2023-12-09T04:56:42.838-04:00Comments on Stop Timothy Gowers! !!!: Graduate level textbooks: A list - the second partOwlhttp://www.blogger.com/profile/13083493391293465339noreply@blogger.comBlogger17125tag:blogger.com,1999:blog-8062754651764668865.post-35941442640471904842014-03-07T01:40:30.275-04:002014-03-07T01:40:30.275-04:00Dear Marina,
Sorry for so long delay with a reply...Dear Marina,<br /><br />Sorry for so long delay with a reply. I thought that a reply without that list would be hardly useful, but now it seems that the list is not coming soon.<br /><br />Yes, I am planning to write such a list. But I have no idea if and when these plans will be realized.Owlhttps://www.blogger.com/profile/13083493391293465339noreply@blogger.comtag:blogger.com,1999:blog-8062754651764668865.post-82319883294238436822014-03-07T01:36:02.389-04:002014-03-07T01:36:02.389-04:00Dear vz nuri,
You used another nickname before, v...Dear vz nuri,<br /><br />You used another nickname before, vznvzn, right?<br /><br />Yes, I noticed the paper with Ganesalingam and planned to write about it. The non-technical part of this paper is a very stimulating collection of misconceptions about mathematics. One can write a tract about the nature of mathematics taking this paper as a starting point. I intended to do something more modest, Owlhttps://www.blogger.com/profile/13083493391293465339noreply@blogger.comtag:blogger.com,1999:blog-8062754651764668865.post-18006077442504353742014-03-06T18:35:13.744-04:002014-03-06T18:35:13.744-04:00hi sowa... whats new? havent seen you on gowers bl...hi sowa... whats new? havent seen you on gowers blog, you arent blocked there are you? you seem to have no comment on his new paper with Ganesalingam .... ripe for criticism dont you think?<br />also there has been a remarkable new computer-based breakthru into the erdos discrepancy problem... any opinion on that? a big writeup of that here, <a href="http://vzn1.wordpress.com/2014/02/14/Anonymoushttps://www.blogger.com/profile/10048739391910999672noreply@blogger.comtag:blogger.com,1999:blog-8062754651764668865.post-29157524770822830852014-01-15T01:38:17.453-04:002014-01-15T01:38:17.453-04:00Do you plan to write a list "The books I woul...Do you plan to write a list "The books I would like to read, but nobody wrote them" from your comment above? It will be very interesting!Marinahttps://www.blogger.com/profile/00775832493706576549noreply@blogger.comtag:blogger.com,1999:blog-8062754651764668865.post-41638783989533352014-01-07T08:44:03.784-04:002014-01-07T08:44:03.784-04:00Dear Ravi,
Thanks for the correction. Of course, ...Dear Ravi,<br /><br />Thanks for the correction. Of course, it is "Principles...". Actually, I found this book fairly boring. But it is very efficient. There is one thing in this book which I really don't like: Rudin's ad hoc approach to the differential forms. This part either should be skipped, or not taken seriously and then one will need to learn the standard approach.Owlhttps://www.blogger.com/profile/13083493391293465339noreply@blogger.comtag:blogger.com,1999:blog-8062754651764668865.post-7796214832620916732014-01-07T07:01:55.884-04:002014-01-07T07:01:55.884-04:00I like Shafarevich's and Mumfod's books on...I like Shafarevich's and Mumfod's books on Algebraic Geometry they are very good, I agree with you. <br />I think W. Rudin's Foundations of mathematical analysis should be Principles of Mathematical Analysis or is it any other book by Rudin.Ravihttps://www.blogger.com/profile/02621088339166989563noreply@blogger.comtag:blogger.com,1999:blog-8062754651764668865.post-70210888075395135502014-01-05T22:59:14.167-04:002014-01-05T22:59:14.167-04:00Correction to my reply to Marius Kempe: I would sa...Correction to my reply to Marius Kempe: <i>I would say "really interesting" --> I would <b>not</b> say "really interesting"</i>.Owlhttps://www.blogger.com/profile/13083493391293465339noreply@blogger.comtag:blogger.com,1999:blog-8062754651764668865.post-48860364874638608712014-01-05T22:53:26.536-04:002014-01-05T22:53:26.536-04:00Dear Owl,
Thanks for your response. I look forwar...Dear Owl,<br /><br />Thanks for your response. I look forward to reading your thoughts.<br /><br />On the books, I think the average level of the London Mathematical Society Student Texts would make a good upper bound; I like some of those books very much. I don't intend to put any lower bound on the difficulty level.Marius Kempehttps://www.blogger.com/profile/00886735456792851283noreply@blogger.comtag:blogger.com,1999:blog-8062754651764668865.post-10443370083088491862014-01-05T22:34:51.729-04:002014-01-05T22:34:51.729-04:00Dear Marius Kempe,
Thanks for the interest. Your ...Dear Marius Kempe,<br /><br />Thanks for the interest. Your questions about the undergraduate education in US are really important. I would say "really interesting" because they are imposed upon us by external forces. I will try to write something about this issue. My main problem is the need to stop before going into real politics (presidents, congressmen, general trends of the Owlhttps://www.blogger.com/profile/13083493391293465339noreply@blogger.comtag:blogger.com,1999:blog-8062754651764668865.post-85519190232650328272014-01-05T21:50:55.129-04:002014-01-05T21:50:55.129-04:00To Ravi:
Thanks! Well, I would be very happy to i...To Ravi:<br /><br />Thanks! Well, I would be very happy to include more books in algebraic geometry, but I don't know such books. One book is included in the list implicitly under the heading "Other books" by D. Mumford, namely, "The red book of varieties and schemes" (for decades it circulated only as a preprint with the red cover; eventually it was published by Springer Owlhttps://www.blogger.com/profile/13083493391293465339noreply@blogger.comtag:blogger.com,1999:blog-8062754651764668865.post-85114642718120654732014-01-05T14:51:15.771-04:002014-01-05T14:51:15.771-04:00Also, are there any books you have enjoyed in lang...Also, are there any books you have enjoyed in languages other than English?Marius Kempehttps://www.blogger.com/profile/00886735456792851283noreply@blogger.comtag:blogger.com,1999:blog-8062754651764668865.post-92034691055967411362014-01-05T10:47:06.186-04:002014-01-05T10:47:06.186-04:00Dear Owl,
Thank you very much for this list.
You...Dear Owl,<br /><br />Thank you very much for this list.<br /><br />You make some interesting comments about calculus and linear algebra. I would be interested to hear your thoughts on the right place of these subjects in mathematics and mathematics education, especially as they are the dominant subjects in American undergraduate programs.<br /><br />Would you post a list of your favorite Marius Kempehttps://www.blogger.com/profile/00886735456792851283noreply@blogger.comtag:blogger.com,1999:blog-8062754651764668865.post-7182273179295444962014-01-04T01:14:34.454-04:002014-01-04T01:14:34.454-04:00Great lists, it include some favorite. I was expec...Great lists, it include some favorite. I was expecting more books on Algebraic Geometry though :)Ravihttps://www.blogger.com/profile/02621088339166989563noreply@blogger.comtag:blogger.com,1999:blog-8062754651764668865.post-23771237189767224612014-01-04T01:13:19.704-04:002014-01-04T01:13:19.704-04:00Great lists, it include some favorite. I was expec...Great lists, it include some favorite. I was expecting more books on Algebraic Geometry though :)Ravihttps://www.blogger.com/profile/02621088339166989563noreply@blogger.comtag:blogger.com,1999:blog-8062754651764668865.post-52519802232470033562014-01-02T23:11:35.132-04:002014-01-02T23:11:35.132-04:00Correction: "that I would not statisfy even&q...Correction: "that I would not statisfy even" --> "that it does not satisfy even"Owlhttps://www.blogger.com/profile/13083493391293465339noreply@blogger.comtag:blogger.com,1999:blog-8062754651764668865.post-7607979240069721532014-01-02T21:54:15.341-04:002014-01-02T21:54:15.341-04:00Dear Shopkins,
Thank you for following my posts. ...Dear Shopkins,<br /><br />Thank you for following my posts. <br /><br />In the previous post I outlined some guiding principles I used when compiling this list. Stanley's <i>Enumerative combinatorics</i> is not on the list because I did not read a sufficiently big chunck of it. <br /><br />I believe that this book is very good and is a must for anybody doing or planning to do the algebraic Owlhttps://www.blogger.com/profile/13083493391293465339noreply@blogger.comtag:blogger.com,1999:blog-8062754651764668865.post-37801819974839811242014-01-02T14:58:34.691-04:002014-01-02T14:58:34.691-04:00Given that you have previously mentioned R. Stanle...Given that you have previously mentioned R. Stanley (and G.C. Rota) as leading figures in the style of combinatorics you deem valuable to mathematics more broadly, I'm surprised not to see Stanley's Enumerative Combinatorics on this list.shopkinshttps://www.blogger.com/profile/02320295517689731413noreply@blogger.com