Questions about recommended reading on a specific topic or from a specific time period.

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28
votes
13answers
2k views

Great mathematics books by pre-modern authors

Last summer, I read Euclid's Elements, and it was an eye-opening experience; I had assumed that three thousand years' difference would make the notation incomprehensible and the reasoning alien, but ...
11
votes
11answers
2k views

Approachable French Masters

It has been my general desire for a few years to acquire the basics in other European languages for the purpose of reading some of the classics in their original language, in a similar vein to this ...
15
votes
17answers
2k views

Readings for an honors liberal art math course

Our university has an Honors section of our "liberal arts mathematics" course. Typically 10-20 students enroll each Fall, with most of them extremely bright, but lacking the interest and/or ...
4
votes
2answers
451 views

Reading Material on Couplings

Does anybody have suggestions on what to read to learn more about couplings pertaining to statistics? I'm working on a research project on Poisson approximations and am looking to perform a coupling ...
9
votes
1answer
2k views

Is there any book explaining in detail the book “Basic Number Theory” by Andre Weil as Dirichlet did to “Disquisitiones Arithmetica” by Gauss?

Is there any book explaining in detail the book "Basic Number Theory" by Andre Weil as Dirichlet did to "Disquisitiones Arithmeticae"? This is because I have read the two books mentioned above and I ...
7
votes
6answers
2k views

How do I approach Optimal Control?

Other than learning basic calculus, I don't really have an advanced background. I was curious to learn about Optimal Control (the theory that involves, bang-bang, Potryagin's Maximum Principle etc.) ...
75
votes
19answers
11k views

Do you read the masters?

I often hear the advice, "Read the masters" (i.e., read old, classic texts by great mathematicians). But frankly, I have hardly ever followed it. What I am wondering is, is this a principle that ...
81
votes
66answers
14k views

Most helpful math resources on the web

What are really helpful math resources out there on the web? Please don't only post a link but a short description of what it does and why it is helpful. Please only one resource per answer and let ...
25
votes
4answers
1k views

Handling arXiv feeds to avoid duplicates

I subscribe to feeds from the arXiv Front for a number of subject areas, using Google Reader. This is great, but there is one problem: when a new preprint is listed in several subject categories, it ...
20
votes
13answers
15k views

Reading list for basic differential geometry?

I'd like to ask if people can point me towards good books or notes to learn some basic differential geometry. I work in representation theory mostly and have found that sometimes my background is ...
38
votes
13answers
9k views

A reading list for topological quantum field theory?

Can you suggest a reading list, or at least a few papers that you think would be useful, for a beginner in topological quantum field theory? I know what the curvature of a connection is, know basic ...