45
$\begingroup$

This question is inspired by the popular "Best Sets of Lecture Notes and Articles".

Indeed, I would like to collect a "big-list" of open source (that is, with $\LaTeX$ code available) high-quality (according to strictly mathematical and pedagogical standard) lecture notes or textbooks on as many mathematical topics as possible.


Note that here the focus is only on open source lecture notes or books (which could help students to create their own notes for self-study more easily by modifying existing works).


Among the many other topics that I would like the material to cover, in particular I am currently interested in:

  • calculus;
  • real analysis;
  • complex and functional analysis;
  • abstract algebra;
  • linear algebra;
  • number theory;
  • general physics;
  • mathematical physics (mainly classical mechanics);
  • probability;
  • geometry;
  • etc.

Update: I am thankful for the answers provided so far, and I encourage to share here more examples of good opensource material in the areas which have not been covered.

$\endgroup$
8
  • $\begingroup$ Modifying for personal use without redistribution does not require open source license. $\endgroup$ Nov 18, 2014 at 18:41
  • 3
    $\begingroup$ @Martín-BlasPérezPinilla but without the source-code you have to write and typeset everything on your own. Having some other good work as a basis makes everything easier. $\endgroup$
    – Dal
    Nov 18, 2014 at 18:43
  • 1
    $\begingroup$ By with $\LaTeX$ code, does that mean you want the .tex file too? I haven't check the answered links, but I don't think many people will give you their .tex file. I have a substantial amount of notes typed in PDEs, Classical Mech, Fourier Series and Integral Transform, ... but I would never give someone my .tex file. For one they could edit the file saying they authored it, not cool. $\endgroup$
    – dustin
    Nov 20, 2014 at 22:06
  • 1
    $\begingroup$ @dustin So far, I've checked some of the links provided by Martin and Mark, and they have indeed the source-codes. $\endgroup$
    – Dal
    Nov 20, 2014 at 22:16
  • 1
    $\begingroup$ I feel the .tex wont be easy to come by for a notes or book level document. If you get one or two, that would be good. $\endgroup$
    – dustin
    Nov 20, 2014 at 22:18

8 Answers 8

13
+100
$\begingroup$

The course Measure Theory by D.H.Fremlin includes TeX source.

Topology Course by Aisling McCluskey and Brian McMaster in HTML.

Diverse lecture notes by Conor Houghton.

Cryptography homework by Boaz Barak.

Digital Image Processing.

Abstract Algebra handouts and Number Theory lecture notes.

$\endgroup$
0
10
$\begingroup$

Many of the courses in MIT's OCW have such notes: http://ocw.mit.edu/courses/find-by-department/

$\endgroup$
0
9
$\begingroup$

Here are a few I've found over the years. I've included some brief comments on the first four, which I've personally used in my classes.

$\endgroup$
0
8
$\begingroup$

The Stacks Project and the CRing project are good for learning algebraic geometry and commutative algebra, respectively:

$\endgroup$
0
3
$\begingroup$

You may want to check this site for over 46.000 free ebooks. Copyrights of the books contained in this site are expired so you can freely download books. You can download the books in PDF, EPUB or LATEX.

main site : https://www.gutenberg.org/wiki/Main_Page

math bookshelf : https://www.gutenberg.org/wiki/Mathematics_%28Bookshelf%29

$\endgroup$
1
  • $\begingroup$ At least this covers not only the technical aspect of being copyable but also the license. That being said, while one can find a couple of interesting and famous original texts, other stuff is not really up to date (regarding content, methods, or even notation) $\endgroup$ Nov 26, 2014 at 9:11
2
$\begingroup$

Rob Beezer's "A First Course in Linear Algebra" represents the future of OER textbooks for math, imho. His MathBook XML production flow allows a single source input (written in xml) to output in multiple formats (right now pdf-via-LaTeX and html, but the future could include more). To compete with commercial textbooks, both a quality book and a quality web-accessible e-book are necessary. (As well as a third leg: a quality online homework platform like WeBWorK.)

$\endgroup$
0
$\begingroup$

Here are some lecture notes for Operations Research that I have found on professor’s sites (that are now defunct due to the passage of time and losing domain names) that I’ve been using as a supplement to my own self-studying and coursework:

Operations Research - Deterministic Models lecture notes by Juraj Stacho of Columbia University New York

Operations Research lecture notes by Dr. Y Īlker Topcu

$\endgroup$
0
$\begingroup$

Here is an open-source textbook on determinants for beginners, which is available under 0BSD, which means that one may use the book in whatever one likes to. The book is currently in Chinese only, but it is said that the author will translate the book into English and Esperanto so that more people can read the book without knowing Chinese first. We really look forward to the translations.

$\endgroup$

You must log in to answer this question.

Not the answer you're looking for? Browse other questions tagged .