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  • 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

    Gaurav Tiwari

    A designer by profession, a mathematician by education but a Blogger by hobby. Loves reading and writing. Just that.

    This Post Has 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
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    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.

    Let your thoughts flow. Comment!