Mathematics is beautiful and there is no place of ugly mathematics in this world. Mathematics is originated from creativity and it develops with research papers. Research Papers aren’t only very detailed and tough to understand for a general student, but also interesting. Here, I have collected the list of some excellent articles and research papers (belong mainly to Math) which I have read and are easily available online. The main source of this list is ArXiv.org.
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-title first, then http url and at last author-name.

  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
    http://blogs.discovermagazine.com/cosmicvariance/2007/02/25/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.fermilab.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
    http://www.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
    http://mathcs.slu.edu/undergrad-math/SuccessinMath.pdf
    Saint Louis University
  41. Teaching and Learning Mathematics
    http://www.k12.wa.us/research/pubdocs/pdf/MathBook.pdf
    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
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4 comments
  1. All the contents you mentioned in post is too good and can be very useful. I will keep it in mind, thanks for sharing the information
    ———————————————————–

  2. Not that I am seeing this kind of list for the first time. In fact, I myself have prepared an (unpublished) list of such articles and (published) list of mathematical resources/websites.

    But it is heartening to have stumbled upon on your page. I actually found out that many of the link listed above were unknown to me. I have bookmarked your page hoping that you would keep this list updated.

    Cheers.

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