Interesting Math Articles and Must Read Research Papers for Students

Are you a mathematics student looking to feed your curiosity with some interesting math articles and research papers? If you are one, you are the right place.

Here, I have collected the list of some excellent and interesting math articles and interesting mathematics research papers which I have read and found very useful.

All of these are easily available online. The main sources of this list are ArXiv.org and the websites of respective professors.

If you know any other paper/article which you find extremely interesting and that is not listed here, then please do comment mentioning the article name and URL. Papers/articles are cited as paper titles first, then HTTP URLs and at last author-name.

Interesting Math Articles

1. The Two Cultures of Mathematics
   http://www.dpmms.cam.ac.uk/~wtg10/2cultures.pdf
   Timothy Gowers
2. What is Good Mathematics?
   http://arxiv.org/abs/math.HO/0702396
   Terence Tao
3. Career Advice (A Collection of Some very good advices) http://terrytao.wordpress.com/career-advice/
   Terence Tao
4. For Potential Students
   http://math.stanford.edu/~vakil/potentialstudents.html
   Ravi Vakil
5. Advice to a Young Mathematician
   http://press.princeton.edu/chapters/gowers/gowers_VIII_6.pdf Princeton Companion to Mathematics
6. Ten Signs a Claimed Mathematical Breakthrough is wrong http://www.scottaaronson.com/blog/?p=304
   Scott Aaronson
7. On Proof and Progress in Mathematics
   http://arxiv.org/abs/math.HO/9404236
   William Thurston
8. A Mathematician’s Lament
   http://www.maa.org/devlin/LockhartsLament.pdf
   Paul Lockhart
9. Truth as value of duty: Lessons of Mathematics http://arxiv.org/abs/0805.4057
   Yuri I Mannin
10. Mathematical Knowledge: Internal Social And Agricultural Aspects http://arxiv.org/abs/math/0703427
    Yuri I Mannin
11. The Cult of Genius
    https://www.discovermagazine.com/mind/the-cult-of-genius
    Julianne Dalcanton
12. Take it to the Limit
    http://opinionator.blogs.nytimes.com/2010/04/04/take-it-to-the-limit/
    Opinionator on New York Times
13. How to Supervise a Ph.D.
    http://ppss.ph.unimelb.edu.au/2520/node33.html
14. Essential Steps of Problem Solving
    https://gauravtiwari.org/essential-steps/
    Gaurav Tiwari
15. On the Electrodynamics of Moving Bodies
    http://www.fourmilab.ch/etexts/einstein/specrel/www/
    Albert Einstein
16. Who can name the Bigger Number?
    http://www.scottaaronson.com/writings/bignumbers.html
    Scott Aaronson
17. Division by Three
    http://arxiv.org/abs/math/0605779v1
    Doyle and Conway
18. Birds and Frogs
    http://www.ams.org/notices/200902/rtx090200212p.pdf
    Freeman Dyson
19. A Mathematical Theory of Communication
    http://math.harvard.edu/~ctm/home/text/others/shannon/entropy/entropy.pdf
    Shannon Day
20. Missed Opportunities
    http://projecteuclid.org/DPubS?verb=Display&version=1.0&service=UI&handle=euclid.bams/1183533964&page=record Freeman Dyson
21. The Unreasonable Effectiveness of Mathematics in the Natural Sciences
    https://math.dartmouth.edu/~matc/MathDrama/reading/Wigner.html
    Eugene Wigner
22. On Computable Numbers with an Application to the Entscheidungsproblem http://www.thocp.net/biographies/papers/turing_oncomputablenumbers_1936.pdf Alan Turing
23. Funny Problems
    http://arxiv.org/abs/math/0010133v1
    Florentin Smarandache
24. Life and Work of the Mathemagician Srinivasa Ramanujan
    http://arxiv.org/abs/math/0003184v1
    K Srinivasa Rao
25. Why Everyone Should Know Number Theory?
    http://arxiv.org/abs/math/0210327v1
    Minhyong Kim
26. Meta Math! The Quest for Omega
    http://arxiv.org/abs/math/0404335v7
    G J Chaitin
27. Vedic Mathematics
    http://arxiv.org/pdf/math/math.GM/0611347
    W B Vasantha Kandasamy & Florentin Smarandache
28. On Multiple Choice Questions in Mathematics
    http://terrytao.wordpress.com/2008/12/14/on-multiple-choice-questions-in-mathematics/ Terence Tao
29. Ramnujan Type 1/pi Approximation Formulas
    http://arxiv.org/abs/1111.3139v1
    Nikos Bagis
30. Collatz’s 3x+1 Problem and iterative maps on Interval
    http://arxiv.org/abs/math/0608708
    Wang Liang
31. Proof of Riemann Hypothesis
    http://arxiv.org/abs/0706.1929
    Jinzhu Han
32. Solving Polynomial Equations from Complex Numbers
    http://arxiv.org/abs/1112.5331v2
    Ricardo S Vieira
33. Age of Einstein
    https://www.casadasciencias.org/portfolio/ageofeinstein.pdf
    Frank WK Firk
34. The Mysteries of Counting
    http://math.ucr.edu/home/baez/counting
    John Baez
35. Generalisation of Ramanujan Method of Approximating Root of an Equation http://arxiv.org/abs/1112.5092v1
    R K Muthumalai
36. How to Gamble if You are in Hurry?
    http://arxiv.org/abs/1112.1645v1
    Ekhad, Georgiadis & Zeilberger
37. How to Survive a math class?
    http://www.math.clemson.edu/~mjs/courses/misc/study.pdf
    Matthew Saltzman & Marie Coffin
38. Is life Improbable?
    http://math.ucr.edu/home/baez/improbable.pdf
    John Baez
39. Remarks on Expository Writing in Mathematics http://www.math.uiuc.edu/~r-ash/Remarks.pdf
    Robert B Ash
40. Success in Mathematics
    https://mathstat.slu.edu/resources/success-in-mathematics
    Saint Louis University
41. Teaching and Learning Mathematics
    http://www.k12.wa.us/research/pubdocs/pdf/MathBook.pdf
    Mirror Link
    Terry Bergeson
42. Helping your child learn Mathematics
    https://www2.ed.gov/parents/academic/help/math/math.pdf
    US Department of Education
43. Engaging Students in Meaningful Mathematics Learning: Different Perspectives, Complementary Goals
    http://ed-osprey.gsu.edu/ojs/index.php/JUME/article/viewFile/115/58
    Michael T. Battista

Here are some more interesting Math Books/Items that you can try:

Mathematics is beautiful and there is no place for ugly mathematics in this world. Mathematics originates from creativity and develops with research papers.

These research papers aren’t only very detailed and tough to understand for a general student, but also interesting. I hope these math articles, research papers and the recommended books were helpful to you.

Last update on 2023-03-30 using Amazon Product Advertising API.