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.

**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 Mathematician’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**Collatz’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 🙂

Eww!! I didn’t notice that. 😉

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

———————————————————–

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.