README.md

Mathematics

(Up) | See also: FoM, Probability Theory, Combinatorics, Group Theory, Order Theory, Category Theory, Closure Systems, Topology, Matroid Theory, Numerical Analysis, Recreational Mathematics

Web resources

Practice of mathematics

Examples of common false beliefs in mathematics. - MathOverflow ★

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

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

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

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

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

Poincaré on intuition in mathematics - MacTutor History of Mathematics 🏛️

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

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

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

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

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

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

soft question - Theorems with many distinct proofs - MathOverflow ★

\"Strange\" proofs of existence theorems - MathOverflow ★

Studying mathematics

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

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

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

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

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

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

Mathematical Rigour

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

soft question - Consequences of lack of rigour - MathOverflow ★

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

Controversy in mathematics

research - Replication crisis in mathematics - MathOverflow ★

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

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

Notes on the Oxford IUT workshop by Brian Conrad \| mathbabe ★

ho.history overview - Endless controversy - MathOverflow ★

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

People

Paul du Bois-Reymond - Wikipedia

James Dugundji - Wikipedia

Other

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

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

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

(in Type Systems) The algebra (and calculus!) of algebraic data types ★★★

Papers

Infinity - A simple, but not too simple introduction (online @ arxiv.org) ★★★ 💭

Books

The Magical Maze (borrow @ archive.org) ★★★

Archimedes' Revenge (borrow @ archive.org) ★

Compactness and Contradiction (online @ terrytao.wordpress.com)