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Mathematics

Practice of mathematics

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Examples of common false beliefs in mathematics. - MathOverflow

  • url: http://mathoverflow.net/questions/23478/examples-of-common-false-beliefs-in-mathematics

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soft question - Math papers where the only issue is that someone else could\'ve done it but didn\'t - MathOverflow

  • url: https://mathoverflow.net/questions/433686/math-papers-where-the-only-issue-is-that-someone-else-couldve-done-it-but-didn

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soft question - When has the scaffolding been more important than the completed building? - MathOverflow

  • url: https://mathoverflow.net/questions/459252/when-has-the-scaffolding-been-more-important-than-the-completed-building

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soft question - Big ideas that began small or small ideas that became big - MathOverflow

  • url: https://mathoverflow.net/questions/369179/big-ideas-that-began-small-or-small-ideas-that-became-big

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reference request - Proofs of theorems that proved more or deeper results than what was first supposed or stated as the corresponding theorem - MathOverflow

  • url: https://mathoverflow.net/questions/385732/proofs-of-theorems-that-proved-more-or-deeper-results-than-what-was-first-suppos

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big list - Every mathematician has only a few tricks - MathOverflow

  • url: https://mathoverflow.net/questions/363119/every-mathematician-has-only-a-few-tricks

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Poincaré on intuition in mathematics - MacTutor History of Mathematics

  • url: https://mathshistory.st-andrews.ac.uk/Extras/Poincare_Intuition/

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There's more to mathematics than rigour and proofs | What\'s new

  • url: https://terrytao.wordpress.com/career-advice/theres-more-to-mathematics-than-rigour-and-proofs/

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soft question - Is an interpretation mathematics (fit for publication)? - MathOverflow

  • url: https://mathoverflow.net/questions/386789/is-an-interpretation-mathematics-fit-for-publication

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mathematics education - Are hypergeometric series not taught often at universities nowadays, and if so, why? - MathOverflow

  • url: https://mathoverflow.net/questions/391124/are-hypergeometric-series-not-taught-often-at-universities-nowadays-and-if-so

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calculus - Is there a reason it is so rare we can solve differential equations? - Mathematics Stack Exchange

  • url: https://math.stackexchange.com/questions/3782499/is-there-a-reason-it-is-so-rare-we-can-solve-differential-equations

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logic - How many words (i.e. not \"math\" symbols\") should I use in my proofs? - Mathematics Stack Exchange

  • url: https://math.stackexchange.com/questions/2701182/how-many-words-i-e-not-math-symbols-should-i-use-in-my-proofs

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fa.functional analysis - Why do we have two theorems when one implies the other? - MathOverflow

  • url: https://mathoverflow.net/questions/397286/why-do-we-have-two-theorems-when-one-implies-the-other

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soft question - Theorems with many distinct proofs - MathOverflow

  • url: https://mathoverflow.net/questions/401493/theorems-with-many-distinct-proofs/401519

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\"Strange\" proofs of existence theorems - MathOverflow

  • url: https://mathoverflow.net/questions/312439/strange-proofs-of-existence-theorems

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Studying mathematics

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mathematical pedagogy - Why\'s math way more puzzling, abstruse than law and medicine? - Mathematics Educators Stack Exchange

  • url: https://matheducators.stackexchange.com/questions/24706/whys-math-way-more-puzzling-abstruse-than-law-and-medicine

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Why there is no Hitchhiker's Guide to Mathematics for Programmers | Math ∩ Programming

  • url: http://jeremykun.com/2013/02/08/why-there-is-no-hitchhikers-guide-to-mathematics-for-programmers/#comment-1345

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mathematics - How can I counter a student response saying \"Why are we bothered to reinvent the wheel when proving mathematical identities?\" - Academia Stack Exchange

  • url: https://academia.stackexchange.com/questions/155433/how-can-i-counter-a-student-response-saying-why-are-we-bothered-to-reinvent-the

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secondary education - Response to Students Who Say \"This Is Not Important\" - Mathematics Educators Stack Exchange

  • url: https://matheducators.stackexchange.com/questions/20962/response-to-students-who-say-this-is-not-important

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soft question - Daunting papers/books and how to finally read them - MathOverflow

  • url: https://mathoverflow.net/questions/463287/daunting-papers-books-and-how-to-finally-read-them

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books - Learning mathematics in an \"independent and idiosyncratic\" way - MathOverflow

  • url: https://mathoverflow.net/questions/371038/learning-mathematics-in-an-independent-and-idiosyncratic-way

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Mathematical Rigour

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Why is writing down mathematical proofs more fault-proof than writing computer code? - Computer Science Stack Exchange

  • url: https://cs.stackexchange.com/questions/85327/why-is-writing-down-mathematical-proofs-more-fault-proof-than-writing-computer-c

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soft question - Consequences of lack of rigour - MathOverflow

  • url: https://mathoverflow.net/questions/324257/consequences-of-lack-of-rigour

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history - Soft question: Examples where lack of mathematical rigour cause security breaches? - Cryptography Stack Exchange

  • url: https://crypto.stackexchange.com/questions/71024/soft-question-examples-where-lack-of-mathematical-rigour-cause-security-breache)

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Controversy in mathematics

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research - Replication crisis in mathematics - MathOverflow

  • url: https://mathoverflow.net/questions/370898/replication-crisis-in-mathematics

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Titans of Mathematics Clash Over Epic Proof of ABC Conjecture | Quanta Magazine

  • url: https://www.quantamagazine.org/titans-of-mathematics-clash-over-epic-proof-of-abc-conjecture-20180920/

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The ABC conjecture has (still) not been proved | Persiflage

  • url: https://www.galoisrepresentations.com/2017/12/17/the-abc-conjecture-has-still-not-been-proved/

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Notes on the Oxford IUT workshop by Brian Conrad | mathbabe

  • url: https://mathbabe.org/2015/12/15/notes-on-the-oxford-iut-workshop-by-brian-conrad/

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ho.history overview - Endless controversy - MathOverflow

  • url: https://mathoverflow.net/questions/282742/endless-controversy

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independent researcher - Why are most cranks old men? - Academia Stack Exchange

  • url: https://academia.stackexchange.com/questions/145242/why-are-most-cranks-old-men

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People

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Paul du Bois-Reymond - Wikipedia

  • url: https://en.wikipedia.org/wiki/Paul_du_Bois-Reymond

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James Dugundji - Wikipedia

  • url: https://en.wikipedia.org/wiki/James_Dugundji

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Other

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abstract algebra - Can we define algebraic structures (group, rings, modules, fields) via their arrows? - Mathematics Stack Exchange

  • url: https://math.stackexchange.com/questions/3586965/can-we-define-algebraic-structures-group-rings-modules-fields-via-their-arr#3588120

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algebra precalculus - If two pairs of numbers have equal sums and products, what can we conclude about the pairs? - Mathematics Stack Exchange

  • url: https://math.stackexchange.com/questions/4825276/if-two-pairs-of-numbers-have-equal-sums-and-products-what-can-we-conclude-about

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Readings | Mathematics for Computer Science | Electrical Engineering and Computer Science | MIT OpenCourseWare

  • url: https://ocw.mit.edu/courses/6-042j-mathematics-for-computer-science-fall-2010/pages/readings/
  • topics: Mathematics, Logic, Probability Theory

collection of course notes PDFs. future-topics: Discrete Mathematics