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 arenâ€™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.

**The Two Cultures of Mathematics**

http://www.dpmms.cam.ac.uk/~wtg10/2cultures.pdf

Timothy Gowers**What is Good Mathematics?**

http://arxiv.org/abs/math.HO/0702396

Terence Tao**Career Advice (A Collection of Some very good advices)**http://terrytao.wordpress.com/career-advice/

Terence Tao**For Potential Students**

http://math.stanford.edu/~vakil/potentialstudents.html

Ravi Vakil**Advice to a Young Mathematician**

http://press.princeton.edu/chapters/gowers/gowers_VIII_6.pdf Princeton Companion to Mathematics**Ten Signs a claimed Mathematical Breakthrough is wrong**http://www.scottaaronson.com/blog/?p=304

Scott Aaronson**On Proof and Progress in Mathematics**

http://arxiv.org/abs/math.HO/9404236

William Thurston**A Mathematicianâ€™s Lament**

http://www.maa.org/devlin/LockhartsLament.pdf

Paul Lockhart**Truth as value of duty: Lessons of Mathematics**http://arxiv.org/abs/0805.4057

Yuri I Mannin**Mathematical Knowledge: Internal Social And Agricultural Aspects**http://arxiv.org/abs/math/0703427

Yuri I Mannin**The Cult of Genius**

http://blogs.discovermagazine.com/cosmicvariance/2007/02/25/the-cult-of-genius/

Julianne Dalcanton**Take it to the Limit**

http://opinionator.blogs.nytimes.com/2010/04/04/take-it-to-the-limit/

Opinionator on New York Times**How to Supervise a Ph.D.**

http://ppss.ph.unimelb.edu.au/2520/node33.html**Essential Steps of Problem Solving**

https://gauravtiwari.org/essential-steps/

Gaurav Tiwari**On the Electrodynamics of Moving Bodies**

http://www.fermilab.ch/etexts/einstein/specrel/www/

Albert Einstein**Who can name the Bigger Number?**

http://www.scottaaronson.com/writings/bignumbers.html

Scott Aaronson**Division by Three**

http://arxiv.org/abs/math/0605779v1

Doyle and Conway**Birds and Frogs**

http://www.ams.org/notices/200902/rtx090200212p.pdf

Freeman Dyson**A Mathematical Theory of Communication**

http://math.harvard.edu/~ctm/home/text/others/shannon/entropy/entropy.pdf

Shannon Day**Missed Opportunities**

http://projecteuclid.org/DPubS?verb=Display&version=1.0&service=UI&handle=euclid.bams/1183533964&page=record Freeman Dyson**The Unreasonable Effectiveness of Mathematics in the Natural Sciences**http://www.dartmouth.edu/~matc/MathDrama/reading/Wigner.html

Eugene Wigner**On Computable Numbers with an Application to the Entscheidungsproblem**http://www.thocp.net/biographies/papers/turing_oncomputablenumbers_1936.pdf Alan Turing**Funny Problems**

http://arxiv.org/abs/math/0010133v1

Florentin Smarandache**Life and Work of the Mathemagician Srinivasa Ramanujan**

http://arxiv.org/abs/math/0003184v1

K Srinivasa Rao**Why Everyone Should Know Number Theory?**

http://arxiv.org/abs/math/0210327v1

Minhyong Kim**Meta Math! The Quest for Omega**

http://arxiv.org/abs/math/0404335v7

G J Chaitin**Vedic Mathematics**

http://arxiv.org/pdf/math/math.GM/0611347

W B Vasantha Kandasamy & Florentin Smarandache**On Multiple Choice Questions in Mathematics**

http://terrytao.wordpress.com/2008/12/14/on-multiple-choice-questions-in-mathematics/ Terence Tao**Ramnujan Type 1/pi Approximation Formulas**

http://arxiv.org/abs/1111.3139v1

Nikos Bagis**Collatzâ€™s 3x+1 Problem and iterative maps on Interval**http://arxiv.org/abs/math/0608708

Wang Liang**Proof of Riemann Hypothesis**

http://arxiv.org/abs/0706.1929

Jinzhu Han**Solving Polynomial Equations from Complex Numbers**http://arxiv.org/abs/1112.5331v2

Ricardo S Vieira**Age of Einstein**

https://www.casadasciencias.org/portfolio/ageofeinstein.pdf

Frank WK Firk**The Mysteries of Counting**

http://math.ucr.edu/home/baez/counting

John Baez**Generalisation of Ramanujan Method of Approximating Root of an Equation**http://arxiv.org/abs/1112.5092v1

R K Muthumalai**How to Gamble if You are in Hurry?**

http://arxiv.org/abs/1112.1645v1

Ekhad, Georgiadis & Zeilberger**How to Survive a math class?**

http://www.math.clemson.edu/~mjs/courses/misc/study.pdf

Matthew Saltzman & Marie Coffin**Is life Improbable?**

http://math.ucr.edu/home/baez/improbable.pdf

John Baez**Remarks on Expository Writing in Mathematics**http://www.math.uiuc.edu/~r-ash/Remarks.pdf

Robert B Ash**Success in Mathematics**

http://mathcs.slu.edu/undergrad-math/SuccessinMath.pdf

Saint Louis University**Teaching and Learning Mathematics**http://www.k12.wa.us/research/pubdocs/pdf/MathBook.pdf

Terry Bergeson**Helping your child learn Mathematics**https://www2.ed.gov/parents/academic/help/math/math.pdf

US Department of Education**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

Interesting to see your name just above Albert Einstein ðŸ™‚

Eww!! I didn’t notice that. ðŸ˜‰

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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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.