# 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 that 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

**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**

https://www.discovermagazine.com/mind/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.fourmilab.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**https://math.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**

https://mathstat.slu.edu/resources/success-in-mathematics

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

Mirror Link

Terry Bergeson**Helping your child learn Mathematics**https://www2.ed.gov/programs/nclbbrs/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

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

Mathematics is beautiful, and there is no such thing as 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.