most recent 30 from http://mathoverflow.net 2013-05-22T20:52:43Z http://mathoverflow.net/feeds/question/1722 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/1722/free-high-quality-mathematical-writing-online Kim Greene 2009-10-21T21:17:26Z 2012-01-24T21:25:23Z

<p>I often use the internet to find resources for learning new mathematics and due to an explosion in online activity, there is always plenty to find. Many of these turn out to be somewhat unreadable because of writing quality, organization or presentation.</p> <p>I recently found out that "The Elements of Statistical Learning' by Hastie, Tibshirani and Friedman was available free online: <a href="http://www-stat.stanford.edu/~tibs/ElemStatLearn/" rel="nofollow">http://www-stat.stanford.edu/~tibs/ElemStatLearn/</a> . It is a really well written book at a high technical level. Moreover, this is the second edition which means the book has already gone through quite a few levels of editing.</p> <p>I was quite amazed to see a resource like this available free online.</p> <p>Now, my question is, are there more resources like this? Are there free mathematics books that have it all: well-written, well-illustrated, properly typeset and so on?</p> <p>Now, on the one hand, I have been saying 'book' but I am sure that good mathematical writing online is not limited to just books. On the other hand, I definitely don't mean the typical journal article. It's hard to come up with good criteria on this score, but I am talking about writing that is reasonably lengthy, addresses several topics and whose purpose is essentially pedagogical.</p> <p>If so, I'd love to hear about them. Please suggest just one resource per comment so we can vote them up and provide a link!</p>

http://mathoverflow.net/questions/1722/free-high-quality-mathematical-writing-online/1723#1723 Qiaochu Yuan 2009-10-21T21:20:31Z 2009-10-21T21:20:31Z

<p><a href="http://www.math.ucr.edu/home/baez/" rel="nofollow">John Baez's stuff</a> is a fantastic resource for learning about - well, whatever John Baez is interested in, but fortunately that's a lot of interesting stuff. Scroll down for a link to TWF as well as his expository articles.</p>

http://mathoverflow.net/questions/1722/free-high-quality-mathematical-writing-online/1724#1724 Kim Greene 2009-10-21T21:21:31Z 2009-10-21T21:21:31Z

<p>'The Elements of Statistical Learning' by Hastie, Tibshirani and Friedman <a href="http://www-stat.stanford.edu/~tibs/ElemStatLearn/" rel="nofollow">http://www-stat.stanford.edu/~tibs/ElemStatLearn/</a></p>

http://mathoverflow.net/questions/1722/free-high-quality-mathematical-writing-online/1725#1725 Qiaochu Yuan 2009-10-21T21:22:57Z 2009-10-21T21:22:57Z

<p>I hope it's not too rude to double-post, but as far as high-quality books go, Fulton's <a href="http://www.math.lsa.umich.edu/~wfulton/CurveBook.pdf" rel="nofollow">Algebraic Curves</a> was also recently made available online.</p>

http://mathoverflow.net/questions/1722/free-high-quality-mathematical-writing-online/1731#1731 Nicholas Jackson 2009-10-21T21:32:03Z 2009-10-21T21:32:03Z

<p>Everybody probably knows about this already, but Allen Hatcher's textbook on <a href="http://www.math.cornell.edu/~hatcher/AT/ATpage.html" rel="nofollow">Algebraic Topology</a> is excellent - clear, well-written, neatly typeset. It takes the student from basic concepts like homotopy equivalence all the way through to things like higher homotopy groups, obstruction theory and representability.</p> <p>(His partially-written books on <a href="http://www.math.cornell.edu/~hatcher/VBKT/VBpage.html" rel="nofollow">K-Theory</a> and <a href="http://www.math.cornell.edu/~hatcher/SSAT/SSATpage.html" rel="nofollow">Spectral Sequences</a> are also worth a look.)</p>

http://mathoverflow.net/questions/1722/free-high-quality-mathematical-writing-online/1732#1732 subshift 2009-10-21T21:33:10Z 2009-10-21T21:33:10Z

<p>Check out Allen Hatcher's <a href="http://www.math.cornell.edu/~hatcher/#anchor1772800" rel="nofollow">online books</a> (topological stuff).</p>

http://mathoverflow.net/questions/1722/free-high-quality-mathematical-writing-online/1733#1733 Qiaochu Yuan 2009-10-21T21:34:13Z 2009-10-21T21:34:13Z

<p><a href="http://www.math.uiuc.edu/~r-ash/" rel="nofollow">Robert Ash</a> is a professor who's in the habit of making his textbooks available online as well.</p>

http://mathoverflow.net/questions/1722/free-high-quality-mathematical-writing-online/1738#1738 Harrison Brown 2009-10-21T21:46:12Z 2009-10-21T21:46:12Z

<p>Diestel's <a href="http://diestel-graph-theory.com/" rel="nofollow">Graph Theory</a> is probably not as canonical as Hatcher's textbook, but it's a very commonly used textbook for graduate courses in the subject, and it's a similarly broad basic reference.</p>

http://mathoverflow.net/questions/1722/free-high-quality-mathematical-writing-online/1739#1739 Qiaochu Yuan 2009-10-21T21:48:07Z 2009-10-21T21:48:07Z

<p>And just because I like the book so much, Flajolet and Sedgewick's <a href="http://algo.inria.fr/flajolet/Publications/book.pdf" rel="nofollow">Analytic Combinatorics</a> is available online and is a great resource for learning about asymptotic analysis in combinatorics. The first half is also a great introduction to various techniques for writing down generating functions.</p>

http://mathoverflow.net/questions/1722/free-high-quality-mathematical-writing-online/1746#1746 Andreas Holmstrom 2009-10-21T22:03:31Z 2009-10-21T22:03:31Z

<p>The wonderful <a href="http://www.jmilne.org/math/" rel="nofollow">webpage of Milne</a> has books/lectures notes on a wide variety of topics, including Algebraic geometry, Etale cohomology, Class field theory, ...</p>

http://mathoverflow.net/questions/1722/free-high-quality-mathematical-writing-online/1778#1778 bhwang 2009-10-22T01:38:39Z 2009-10-22T01:38:39Z

<p>The second edition of <a href="http://www.math.upenn.edu/~wilf/DownldGF.html" rel="nofollow">generatingfunctionology</a> by Herbert Wilf is freely available online and is one of my favorite math books ever. It's one of the books that made me fall in love with combinatorics (the other being the Bollobas Graph Theory book).</p>

http://mathoverflow.net/questions/1722/free-high-quality-mathematical-writing-online/1783#1783 Scott Morrison 2009-10-22T02:32:30Z 2009-10-22T02:32:30Z

<p>The wonderful book <a href="http://www.math.upenn.edu/~wilf/AeqB.html" rel="nofollow">"A=B"</a>, by Marko Petkovsek, Herbert Wilf and Doron Zeilberger, is available freely online, thanks to their publisher AK Peters.</p> <p>If you've ever wondered how to prove identities for q-multinomials and friends, well, the summary of this book is that computers now know how to do it, and you shouldn't bother anymore.</p>

http://mathoverflow.net/questions/1722/free-high-quality-mathematical-writing-online/1791#1791 Cristobal 2009-10-22T03:06:25Z 2009-10-22T03:06:25Z

<p>"<a href="http://joshua.smcvt.edu/linearalgebra/" rel="nofollow">Linear Algebra</a>" by Jim Hefferon has been online for a while and it was what I used to teach myself linear algebra. It's very well written with tons of great practice problems and interesting asides. It is a little less advanced than any of the other books listed so far, but it's still a great read. Plus, it's open source (You can download the LaTeX for the book from the website).</p>

http://mathoverflow.net/questions/1722/free-high-quality-mathematical-writing-online/1801#1801 Charles Rezk 2009-10-22T03:54:37Z 2009-10-28T15:45:28Z

<p><a href="http://www.math.northwestern.edu/~len/" rel="nofollow">Len Evens</a> has a couple of online textbooks: a text on abstract algebra, and a linear algebra text.</p>

http://mathoverflow.net/questions/1722/free-high-quality-mathematical-writing-online/1802#1802 Alon Amit 2009-10-22T04:04:19Z 2009-10-22T04:04:19Z

<p>A few more recommendations, apparently less well-known:</p> <p>Saha's "<a href="http://www.physik.uzh.ch/~psaha/pda/" rel="nofollow">Principles of Data Analysis</a>" (you seem to have an interest in that field)</p> <p>Noam Elkies' Lecture Notes (e.g <a href="http://www.math.harvard.edu/~elkies/M259.06/index.html" rel="nofollow">this one</a> on Analytic Number Theory) are like small books.</p> <p>"<a href="http://www.cambridge.org/journals/nisan/downloads/nisan%5Fnon-printable.pdf" rel="nofollow">Algorithmic Game Theory</a>" by Nisan, Roughgarden, Tardos and Vazirani.</p>

http://mathoverflow.net/questions/1722/free-high-quality-mathematical-writing-online/1806#1806 Konrad Voelkel 2009-10-22T04:20:09Z 2009-10-22T04:20:09Z

<p>Many know Hatchers Book, but few know the nice <a href="http://www.math.uchicago.edu/~may/CONCISE/ConciseRevised.pdf" rel="nofollow">Concise Course in Algebraic Topology by J.P.May</a>, which discusses, aside the standard stuff, Groupoids, Higher Homotopy and all that in a very brief and modern fashion. I think this is the book to read (for free) after/between Hatchers book.</p> <p>There is also a big literature overview included, at the end of the book.</p> <p>May has written much more (just look at his homepage), and I didn't read all of it. But what I read, I liked.</p>

http://mathoverflow.net/questions/1722/free-high-quality-mathematical-writing-online/1807#1807 Dylan Moreland 2009-10-22T04:26:29Z 2009-10-22T04:26:29Z

<p>I recommend <a href="http://www.math.lsa.umich.edu/~hochster/" rel="nofollow">Mel Hochster's notes</a>. The notes for Math 614 and 615 form an introduction to commutative algebra, and 711 is on a different topic (tight closure, Henselization, etc.) every year. I think they're very easy to read.</p>

http://mathoverflow.net/questions/1722/free-high-quality-mathematical-writing-online/1849#1849 simenru 2009-10-22T09:00:09Z 2009-10-22T09:00:09Z

<p>The two-volume relatively introductory work on operator algebras, <em>Operator Algebras and Quantum Statistical Mechanics</em> by O. Bratteli and D. Robinson is available at <a href="http://www.math.uio.no/~bratteli/#Books" rel="nofollow">Bratteli's website</a>.</p>

http://mathoverflow.net/questions/1722/free-high-quality-mathematical-writing-online/1857#1857 sdcvvc 2009-10-22T09:55:01Z 2009-10-22T09:55:01Z

<p><a href="http://mathdl.maa.org/mathDL/22/" rel="nofollow">MAA Writing Awards</a></p>

http://mathoverflow.net/questions/1722/free-high-quality-mathematical-writing-online/1873#1873 hyperboreean 2009-10-22T13:46:05Z 2009-10-22T13:46:05Z

<p><a href="http://www.cs.utk.edu/~dongarra/etemplates/book.html" rel="nofollow">http://www.cs.utk.edu/~dongarra/etemplates/book.html</a></p>

http://mathoverflow.net/questions/1722/free-high-quality-mathematical-writing-online/3068#3068 Humberto Rafeiro 2009-10-28T15:20:26Z 2009-10-28T15:20:26Z

<p>IF you want to see free academic video courses from leading universities, just go to </p> <p><a href="http://www.academicearth.org/" rel="nofollow">http://www.academicearth.org/</a></p>

http://mathoverflow.net/questions/1722/free-high-quality-mathematical-writing-online/3093#3093 Richard Starfield 2009-10-28T17:12:06Z 2009-10-28T19:18:30Z

<p><a href="http://www.inference.phy.cam.ac.uk/mackay/itila/" rel="nofollow">Information Theory, Inference, and Learning Algorithms</a> by David MacKay of the Cavendish Laboratory.</p>

http://mathoverflow.net/questions/1722/free-high-quality-mathematical-writing-online/3098#3098 Kristal Cantwell 2009-10-28T17:45:21Z 2009-10-28T17:45:21Z

<p>Volumes 28 through 56 of the MSRI book series are available here:</p> <p><a href="http://www.msri.org/communications/books/index.html" rel="nofollow">http://www.msri.org/communications/books/index.html</a></p>

http://mathoverflow.net/questions/1722/free-high-quality-mathematical-writing-online/5207#5207 Gil Kalai 2009-11-12T17:18:55Z 2009-11-12T17:18:55Z

<p>Martin J Osborne and Ariel Rubinstein's book "A course in Game theory" <a href="http://theory.economics.utoronto.ca/books/index.php/index" rel="nofollow">is available here</a>.</p>

http://mathoverflow.net/questions/1722/free-high-quality-mathematical-writing-online/8824#8824 Brad Hannigan-Daley 2009-12-14T02:12:25Z 2009-12-14T02:12:25Z

<p><a href="http://www.tac.mta.ca/tac/reprints/articles/17/tr17abs.html" rel="nofollow">Abstract and concrete categories: The joy of cats</a> by Jiri Adamek, Horst Herrlich and George Strecker, is a nice book for learning category theory. It went out of print, so the authors made it available online for free.</p>

http://mathoverflow.net/questions/1722/free-high-quality-mathematical-writing-online/9346#9346 Darsh Ranjan 2009-12-19T04:13:08Z 2009-12-19T04:13:08Z

<p>I'm sort of surprised nobody has mentioned <a href="http://terrytao.wordpress.com" rel="nofollow">Terry Tao's blog</a> yet. I think it definitely belongs in this list. </p>

http://mathoverflow.net/questions/1722/free-high-quality-mathematical-writing-online/11678#11678 hyperboreean 2010-01-13T18:21:23Z 2010-01-13T18:21:23Z

<p>Stephen Boyd has some good books on his Stanford home page: <a href="http://www.stanford.edu/~boyd/books.html" rel="nofollow">http://www.stanford.edu/~boyd/books.html</a> ... especially the one on convex optimization is very good.</p>

http://mathoverflow.net/questions/1722/free-high-quality-mathematical-writing-online/12336#12336 mathphysicist 2010-01-19T20:51:07Z 2010-01-19T20:51:07Z

<p>The <a href="http://caltechbook.library.caltech.edu/" rel="nofollow">Caltechbook</a> service at Caltech offers a number of math books for free <a href="http://caltechbook.library.caltech.edu/view/subjects/optionCDS.html" rel="nofollow">here</a>, including some very good (IMHO) books by Jerry Marsden et al.</p>

http://mathoverflow.net/questions/1722/free-high-quality-mathematical-writing-online/12338#12338 mathphysicist 2010-01-19T21:23:21Z 2010-01-19T21:23:21Z

<p>And another great source of the lecture notes and stuff is the MIT <a href="http://ocw.mit.edu" rel="nofollow">OpenCourseWare</a>, in particular the <a href="http://ocw.mit.edu/OcwWeb/Mathematics/index.htm" rel="nofollow">math section</a>. </p>

http://mathoverflow.net/questions/1722/free-high-quality-mathematical-writing-online/15651#15651 L Spice 2010-02-18T00:52:11Z 2010-02-18T00:52:11Z

<p>As with so many things, "There's a reddit for that": <a href="http://www.reddit.com/r/mathbooks" rel="nofollow">http://www.reddit.com/r/mathbooks</a>. It's a mixed bag&mdash;much like searching for math books in a non-specialist bookstore, one gets the elementary mixed up with the sophisticated&mdash;but there are some gems there.</p>

http://mathoverflow.net/questions/1722/free-high-quality-mathematical-writing-online/15704#15704 Fei YE 2010-02-18T13:10:26Z 2010-02-18T13:43:57Z

<p>Check out Jean-Pierre Demailly's books on analytic algebraic geometry <a href="http://www-fourier.ujf-grenoble.fr/~demailly/books.html" rel="nofollow">http://www-fourier.ujf-grenoble.fr/~demailly/books.html</a>.</p> <p>Here you go the AMS book online webpage <a href="http://www.ams.org/online_bks/online_subject.html" rel="nofollow"> <a href="http://www.ams.org/online_bks/online_subject.html" rel="nofollow">http://www.ams.org/online_bks/online_subject.html</a> </a>.</p> <p>I should also mention the AMS online book webpage collection <a href="http://www.ams.org/online_bks/online-books-web.html" rel="nofollow">http://www.ams.org/online_bks/online-books-web.html</a>.</p>

http://mathoverflow.net/questions/1722/free-high-quality-mathematical-writing-online/15706#15706 Andrea Ferretti 2010-02-18T13:34:13Z 2010-04-16T12:21:37Z

<p>Not really pointing to a book, but I'd like to let you know I'm soon (within a month or so) launching a site dedicated to this. It is now almost finished. It is going to be a place where people can add mathematical resources, vote on them, add reviews, see other people's favorites and so on. Books will be categorized by language, level, topics, status (draft, lecture notes, books) and so on. I hope I will be able to "advertise" it trough mathoverflow: as with many "social" sites, the more people join, the more interesting it will become.</p> <p>EDIT: The site is now online. It's still young, but I hope it will improve with time; I certainly have to add some features, but I decided it was time to launch and see if people actually find it useful. You can find it <a href="http://mathonline.andreaferretti.it/" rel="nofollow">here</a></p>

http://mathoverflow.net/questions/1722/free-high-quality-mathematical-writing-online/15787#15787 Sam Lewallen 2010-02-19T04:03:31Z 2010-02-19T04:03:31Z

<p>A great hidden gem is Shlomo Sternberg's page of online books:</p> <p><a href="http://www.math.harvard.edu/~shlomo/" rel="nofollow">http://www.math.harvard.edu/~shlomo/</a></p> <p>Also, Curt McMullen has some notes at the bottom of this page</p> <p><a href="http://www.math.harvard.edu/~ctm/papers/index.html" rel="nofollow">http://www.math.harvard.edu/~ctm/papers/index.html</a></p> <p>which are good, but less formal. He also has other notes on his website not listed there; just look at his list of past courses and follow the links.</p>

http://mathoverflow.net/questions/1722/free-high-quality-mathematical-writing-online/25702#25702 Dylan Moreland 2010-05-23T18:27:44Z 2010-05-23T18:27:44Z

<p>I was hoping that someone had posted <a href="http://www.math.uconn.edu/~kconrad/blurbs/" rel="nofollow">Keith Conrad's expository stuff</a>. Twice this week I've searched for an example in algebraic number theory (it is somewhat surprising how few of these there are in the books I own) and found the perfect answer on that page. The papers are remarkable for their high number of carefully chosen examples, just enough of which are worked out for the reader.</p>

http://mathoverflow.net/questions/1722/free-high-quality-mathematical-writing-online/46587#46587 Robert Haraway 2010-11-19T04:33:05Z 2010-11-19T05:01:53Z

<p>A draft of Albert Marden's <em>Outer circles: an introduction to hyperbolic 3-manifolds</em> is online, on his website:</p> <p><a href="http://www.math.umn.edu/~am/book/outercircles.pdf" rel="nofollow">http://www.math.umn.edu/~am/book/outercircles.pdf</a></p> <p>Edward Nelson's <em>Radically elementary probability theory</em> is also online, on his website:</p> <p><a href="http://www.math.princeton.edu/~nelson/books/rept.pdf" rel="nofollow">http://www.math.princeton.edu/~nelson/books/rept.pdf</a></p>

http://mathoverflow.net/questions/1722/free-high-quality-mathematical-writing-online/46592#46592 Andy B 2010-11-19T05:15:39Z 2010-11-19T05:15:39Z

<p>Paul Garrett is quite the author:</p> <p><a href="http://www.math.umn.edu/~garrett/" rel="nofollow">http://www.math.umn.edu/~garrett/</a></p> <p>He has a book on buildings and many vignettes about automorphic forms, L-functions, representation theory, .... He wrote a graduate algebra book while he taught the course, and promptly got it <a href="http://www.amazon.com/Abstract-Algebra-Paul-B-Garrett/dp/1584886897/ref=sr_1_1?ie=UTF8&amp;qid=1290143567&amp;sr=8-1" rel="nofollow">published</a>.</p> <p><a href="http://www.math.umn.edu/~garrett/m/algebra/" rel="nofollow">http://www.math.umn.edu/~garrett/m/algebra/</a></p>

http://mathoverflow.net/questions/1722/free-high-quality-mathematical-writing-online/46609#46609 Mikhail Glushenkov 2010-11-19T10:06:09Z 2010-11-19T10:06:09Z

<p><a href="http://sites.google.com/site/winitzki/" rel="nofollow">Sergei Winitzki</a> has an interesting-looking <a href="http://sites.google.com/site/winitzki/linalg" rel="nofollow">book on the coordinate-free approach to linear algebra</a> online.</p>

http://mathoverflow.net/questions/1722/free-high-quality-mathematical-writing-online/46621#46621 Ollie Margetts 2010-11-19T12:39:41Z 2010-11-19T12:39:41Z

<p>Roland Speicher has some nice introductory material for Free Probability (mini course, survey articles etc.) All available at <a href="http://www.mast.queensu.ca/~speicher/survey.html" rel="nofollow">http://www.mast.queensu.ca/~speicher/survey.html</a></p>

http://mathoverflow.net/questions/1722/free-high-quality-mathematical-writing-online/46632#46632 Eivind Dahl 2010-11-19T14:23:34Z 2010-11-19T14:23:34Z

<p>The Stacks Project <a href="http://math.columbia.edu/algebraic_geometry/stacks-git/" rel="nofollow">http://math.columbia.edu/algebraic_geometry/stacks-git/</a></p> <p>If I ever wonder about something, I can pretty much count on it to be in there. Remember to use a PDF viewer with hyperlinks and back/next buttons.</p>

http://mathoverflow.net/questions/1722/free-high-quality-mathematical-writing-online/46645#46645 Michael Hardy 2010-11-19T16:21:22Z 2010-11-21T03:28:53Z

<p>Jerome Keisler's <em>Elementary Calculus</em>. This book uses infinitesimals explicitly, and also in a logically rigorous way, without getting too advanced for first-year undergraduates.</p> <p><b>Later edit:</b> <a href="http://math.wisc.edu/~keisler/calc.html" rel="nofollow">http://math.wisc.edu/~keisler/calc.html</a></p>

http://mathoverflow.net/questions/1722/free-high-quality-mathematical-writing-online/46647#46647 Michael Hardy 2010-11-19T16:23:33Z 2010-11-21T03:27:42Z

<p>Jim Pitman's <em>Combinatorial Stochastic Processes</em>.</p> <p><b>Later edit:</b> <a href="http://works.bepress.com/jim_pitman/1" rel="nofollow">http://works.bepress.com/jim_pitman/1</a></p>

http://mathoverflow.net/questions/1722/free-high-quality-mathematical-writing-online/46667#46667 Jeff H 2010-11-19T18:47:21Z 2010-11-19T18:47:21Z

<p>I'm glad someone mentioned Keith Conrad's notes, as they are excellent.</p> <p>I would also like to point people towards <a href="http://www.math.umass.edu/~weston/" rel="nofollow">Tom Weston</a>'s webpage. He has expository papers at <a href="http://www.math.umass.edu/~weston/ep.html" rel="nofollow">http://www.math.umass.edu/~weston/ep.html</a> on several topics, including cobordism theory and spectral sequences.</p> <p>He also has some course notes at <a href="http://www.math.umass.edu/~weston/cn.html" rel="nofollow">http://www.math.umass.edu/~weston/cn.html</a>, including truly excellent book-length notes on introductory algebraic number theory, as well as several dozen illuminating pages on local fields and ideles.</p>

http://mathoverflow.net/questions/1722/free-high-quality-mathematical-writing-online/46676#46676 Beren Sanders 2010-11-19T20:09:31Z 2010-11-19T20:09:31Z

<p><em>Basic Concepts of Enriched Category Theory</em> by G.M. Kelly was originally published by Cambridge University Press in 1982 but is now available online: <a href="http://www.tac.mta.ca/tac/reprints/articles/10/tr10abs.html" rel="nofollow">http://www.tac.mta.ca/tac/reprints/articles/10/tr10abs.html</a></p> <p>My understanding is that it is the canonical reference for enriched category theory (and was written by the pioneer of the field).</p>

http://mathoverflow.net/questions/1722/free-high-quality-mathematical-writing-online/46723#46723 Buschi Sergio 2010-11-20T09:48:43Z 2010-11-20T09:48:43Z

<p><a href="http://www.oocities.com/alex_stef/mylist.html" rel="nofollow">http://www.oocities.com/alex_stef/mylist.html</a></p>

http://mathoverflow.net/questions/1722/free-high-quality-mathematical-writing-online/46810#46810 Zoran Škoda 2010-11-21T11:26:40Z 2010-11-21T12:44:49Z

<p>In <a href="http://ncatlab.org/nlab" rel="nofollow">nlab</a> we keep a list of <em>main</em> links of archives and free book collections in our main areas of interests (we were intentionally selective there): </p> <p>For top level directory for math resources see <a href="http://ncatlab.org/nlab/show/math+resources" rel="nofollow">http://ncatlab.org/nlab/show/math+resources</a>, from where you can go to <a href="http://ncatlab.org/nlab/show/math+archives" rel="nofollow">archives</a>, individual <a href="http://ncatlab.org/nlab/show/math+resources+by+indviduals" rel="nofollow">author collections</a>, <a href="http://ncatlab.org/nlab/show/math+blogs" rel="nofollow">blogs</a> and <a href="http://ncatlab.org/nlab/show/math+institutions" rel="nofollow">institutions</a>.</p>

http://mathoverflow.net/questions/1722/free-high-quality-mathematical-writing-online/50073#50073 To be cont'd 2010-12-21T16:51:58Z 2010-12-21T16:51:58Z

<p><a href="http://lib.org.by/_djvu/M_Mathematics/" rel="nofollow">You can find here large pool of ebooks in every brach of Math. </a></p>

http://mathoverflow.net/questions/1722/free-high-quality-mathematical-writing-online/50077#50077 Richard Borcherds 2010-12-21T17:21:11Z 2010-12-21T17:21:11Z

<p><a href="http://mathunion.org/ICM/" rel="nofollow">http://mathunion.org/ICM/</a> has almost all volumes of ICM talks online</p>

http://mathoverflow.net/questions/1722/free-high-quality-mathematical-writing-online/58102#58102 Julien Puydt 2011-03-10T19:07:19Z 2011-03-10T19:07:19Z

<p>I can't believe nobody mentioned : <a href="http://www.numdam.org/" rel="nofollow">NUMDAM</a> and <a href="http://gdz.sub.uni-goettingen.de/" rel="nofollow">Göttinger Digitalisierungszentrum</a>, where you'll find digitized versions of mathematical texts... monographies and articles which made mathematical history, but sometimes still count as important references!</p>

http://mathoverflow.net/questions/1722/free-high-quality-mathematical-writing-online/58114#58114 John Jiang 2011-03-10T23:11:18Z 2011-03-10T23:11:18Z

<p>Book by David Levin, Yuval Peres and Elizabeth Wilmor on Markov chain theory and mixing times. <a href="http://pages.uoregon.edu/dlevin/MARKOV/markovmixing.pdf" rel="nofollow">http://pages.uoregon.edu/dlevin/MARKOV/markovmixing.pdf</a>. It quickly takes someone with basic knowledge in probability and linear algebra into the heart of current research.</p>

http://mathoverflow.net/questions/1722/free-high-quality-mathematical-writing-online/58125#58125 Anonymous 2011-03-11T02:27:48Z 2011-03-11T02:27:48Z

<p><em>Exterior Differential Systems</em> by Bryant, Chern, Gardner, Goldschmidt, and Griffiths is available through MSRI (and is sadly out of print at the moment).</p> <p><a href="http://library.msri.org/books/masterlist.html" rel="nofollow">http://library.msri.org/books/masterlist.html</a></p>

http://mathoverflow.net/questions/1722/free-high-quality-mathematical-writing-online/65981#65981 Gejza Jenča 2011-05-25T19:05:22Z 2011-05-25T19:05:22Z

<p>Richard P. Stanley's Enumerative Combinatorics, volume 1, second edition is available at <a href="http://www-math.mit.edu/~rstan/ec/ec1/" rel="nofollow">http://www-math.mit.edu/~rstan/ec/ec1/</a> .</p>

http://mathoverflow.net/questions/1722/free-high-quality-mathematical-writing-online/73766#73766 Ivan Polekhin 2011-08-26T11:21:01Z 2011-08-26T11:21:01Z

<p>Gerald Teschl books</p> <ol> <li>Textbook Ordinary Differential Equations and Dynamical Systems</li> <li>Textbook Mathematical Methods in Quantum Mechanics; With Applications to Schrödinger Operators</li> </ol> <p>can be found at <a href="http://www.mat.univie.ac.at/~gerald/" rel="nofollow">http://www.mat.univie.ac.at/~gerald/</a></p>

http://mathoverflow.net/questions/1722/free-high-quality-mathematical-writing-online/75083#75083 Thomas Riepe 2011-09-10T10:15:38Z 2011-10-10T05:04:41Z

<p>The website of the Leibniz award offers a free online collection: <a href="http://www.leibniz-publik.de/en/fs1/about/static.html" rel="nofollow"><i>link</i></a>, and there is the <a href="http://preprints.ihes.fr/index.php" rel="nofollow"><i>preprint server of the IHES</i></a>.</p>

http://mathoverflow.net/questions/1722/free-high-quality-mathematical-writing-online/77272#77272 Peter Arndt 2011-10-05T18:15:18Z 2011-10-05T18:15:18Z

<p>The <a href="http://www.academie-sciences.fr/activite/cr.htm" rel="nofollow">Comptes Rendus de l'Académie des Sciences</a> are available online.</p>

http://mathoverflow.net/questions/1722/free-high-quality-mathematical-writing-online/86570#86570 Leandro Vendramin 2012-01-24T21:25:23Z 2012-01-24T21:25:23Z

<p>Within the framework of the project <a href="http://retro.seals.ch/digbib/home" rel="nofollow">retro.seals.ch</a>, scientific journals are retrodigitized and made available via internet. The project contains the following mathematical journals:</p> <ul> <li><a href="http://retro.seals.ch/digbib/vollist?UID=comahe-001,comahe-002,comahe-003&amp;id=home&amp;id2=browse4" rel="nofollow">Commentarii Mathematici Helvetici</li> <li>Elemente der Mathematik</li> <li>Elemente der Mathematik (Beihefte zur Zeitschrift)</li> <li>L'Enseignement Mathématique</a></li> </ul>