Interesting Articles and Must Read Papers in Math

An old yet beautiful untabled listing of highly interactive mathematics related articles and papers available online.

Mathematics is beautiful and there is no place for ugly mathematics in this world. Mathematics originates 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 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 source of this list is ArXiv.org and the websites of respective professors.

Interesting Math Articles

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-titles first, then http url and at last author-name.

Interesting Math Articles

  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
    https://www.discovermagazine.com/mind/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.fourmilab.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
    https://math.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
    https://mathstat.slu.edu/resources/success-in-mathematics
    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

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

0367185962Tessellations: Mathematics, Art, and Recreationby A K Peters/CRC Press
0486270785The Moscow Puzzles: 359 Mathematical Recreations (Dover Recreational Math)by Dover Publications
0367185970Tessellations: Mathematics, Art, and Recreationby A K Peters/CRC Press
0691207569The Best Writing on Mathematics 2020by Princeton University Press
0486253570Mathematical Recreations and Essays (Dover Recreational Math)by Dover Publications
0691207577The Best Writing on Mathematics 2020by Princeton University Press
9811215308Mathemagics: A Magical Journey Through Advanced Mathematics – Connecting More Than 60 Magic Tricks To High-Level Mathby WSPC
156881223XThe Cryptoclub: Using Mathematics to Make and Break Secret Codesby A K Peters/CRC Press
0486221342The Master Book of Mathematical Recreations (Dover Recreational Math)by Dover Publications
0465097677How to Bake Pi: An Edible Exploration of the Mathematics of Mathematicsby Basic Books
9811230072Mathematical Labyrinths. Pathfinding (Problem Solving in Mathematics and Beyond)by World Scientific Publishing
1914276582Chess for Beginners: How to Win Almost Every Game with Proven Tactics, Mind-Blowing Opening Strategies, and a Deep Knowledge of the Rules and Piecesby John Carlsen
0486842533Concepts and Problems for Mathematical Competitors (Dover Books on Mathematics)by Dover Publications
0691169772Magical Mathematics: The Mathematical Ideas That Animate Great Magic Tricksby Princeton University Press
0393020231The Colossal Book of Mathematics: Classic Puzzles, Paradoxes, and Problemsby W. W. Norton & Company
9811214506Mathemagics: A Magical Journey Through Advanced Mathematics – Connecting More Than 60 Magic Tricks to High-level Mathby World Scientific Publishing Co
9811224870X Games in Mathematics: Sports Training That Counts! (Problem Solving in Mathematics and Beyond)by World Scientific Pub Co Inc
1138061212The Shape of Space (Textbooks in Mathematics)by Chapman and Hall/CRC
1736416901The Adventures Of Maddie: Meet Maddieby Evan Grace Group
1633882977The Joy of Mathematics: Marvels, Novelties, and Neglected Gems That Are Rarely Taught in Math Classby Prometheus
1466567910Project Origami: Activities for Exploring Mathematics, Second Editionby A K Peters/CRC Press
0486409171Problem Solving Through Recreational Mathematics (Dover Books on Mathematics)by Dover Publications
9811223831X Games in Mathematics: Sports Training That Counts (Problem Solving in Mathematics and Beyond)by World Scientific Pub Co Inc
9731991409The Mathematics of Slots: Configurations, Combinations, Probabilitiesby INFAROM
149871952XMathematics in Games, Sports, and Gambling: The Games People Play, Second Edition (Textbooks in Mathematics)by Chapman and Hall/CRC
1914121112Chess For Beginners: A Comprehensive and Simple Guide to the Best Strategy Game, its Openings, Strategies, Tactics, and Much More. Discover Why You Cannot Play Chess Unless You Know the Gambits.by Giada Ltd
0691163529In Pursuit of the Traveling Salesman: Mathematics at the Limits of Computationby Princeton University Press
9811219907Mathematics Entertainment for the Millions (Problem Solving in Mathematics and Beyond)by World Scientific Publishing Co
B08B7LND8GAmusements in Mathematicsby Independently published
0486294323Mathematics and Chess (Dover Recreational Math)by Dover Publications
1498760805Exploring Geometry (Textbooks in Mathematics)by Chapman and Hall/CRC
9811218153The Fate of Schrodinger’s Cat: Using Math and Computers to Explore the Counterintuitive (Problem Solving in Mathematics and Beyond)by WSPC
9811218633The Fate of Schrodinger’s Cat: Using Math and Computers to Explore the Counterintuitive (Problem Solving in Mathematics and Beyond)by WSPC
1138301159Crocheting Adventures with Hyperbolic Planes: Tactile Mathematics, Art and Craft for all to Explore, Second Editionby CRC Press
0691154996Slicing Pizzas, Racing Turtles, and Further Adventures in Applied Mathematics (Princeton Puzzlers)by Princeton University Press
9811208395Solving Problems In Our Spatial World (Problem Solving in Mathematics and Beyond)by WSPC
9811211256Engaging Young Students In Mathematics Through Competitions – World Perspectives And Practices: Volume Ii – Mathematics Competitions And How They … (Problem Solving in Mathematics and Beyond)by WSPC
9811219281Mathematics Entertainment For The Millions (Problem Solving in Mathematics and Beyond)by WSPC
0691025096Mathematics and Plausible Reasoning, Volume 1: Induction and Analogy in Mathematicsby Princeton University Press
0691198675The Best Writing on Mathematics 2019by Princeton University Press
9811219257Mathematical Nuggets from Austria: Selected Problems from the Styrian Mid-secondary School Mathematics Competitions (Problem Solving in Mathematics … School Mathematics Competitions)by World Scientific Publishing Co
1482208938Basic Gambling Mathematics: The Numbers Behind The Neonby Chapman and Hall/CRC
9814730033Mathematics Problem-Solving Challenges For Secondary School Students And Beyond (Problem Solving in Mathematics and Beyond)by Wspc
9811215979Mathematical Muffin Morsels: Nobody Wants a Small Piece (Problem Solving in Mathematics and Beyond)by WSPC
B08T6JY362Mathematical And Logic Puzzles Book: Ingenious, Perplexing, And Totally Satisfying Math And Logic Puzzles: Math Puzzles With Answersby Independently published
0691198357The Best Writing on Mathematics 2019by Princeton University Press
1642982903Prime Recreations: An Olio of Curios about Prime Numbersby Page Publishing, Inc
0735224889Mind and Matter: A Life in Math and Footballby Penguin Books
0691127964Mathematics in Nature: Modeling Patterns in the Natural Worldby Princeton University Press
0691155011Chases and Escapes: The Mathematics of Pursuit and Evasion (Princeton Puzzlers)by Princeton University Press
0470878894The Language of Mathematics: Utilizing Math in Practiceby Wiley
113872372XMathematics of Keno and Lotteriesby Chapman and Hall/CRC
0691154589Mathletics: How Gamblers, Managers, and Sports Enthusiasts Use Mathematics in Baseball, Basketball, and Footballby Princeton University Press
1138297844Encyclopedia of Knot Theoryby Chapman and Hall/CRC
1138915696Math Intervention 3-5: Building Number Power with Formative Assessments, Differentiation, and Games, Grades 3-5 (Eye on Education)by Routledge
0691154988Across the Board: The Mathematics of Chessboard Problems (Princeton Puzzlers)by Princeton University Press
9813223901Central European Olympiad, A: The Mathematical Duel (Problem Solving in Mathematics and Beyond)by WSPC
9731991115The Mathematics of Lottery: Odds, Combinations, Systemsby INFAROM
0367375079Crocheting Adventures with Hyperbolic Planes: Tactile Mathematics, Art and Craft for all to Explore, Second Editionby CRC Press

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