Mathematics
(Up) | Wikipedia: Mathematics | 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. ★
Math papers where the only issue is that someone else could\'ve done it but didn\'t ★
When has the scaffolding been more important than the completed building? ★
Big ideas that began small or small ideas that became big ★
Every mathematician has only a few tricks ★
Poincaré on intuition in mathematics - MacTutor History of Mathematics 🏛️
There's more to mathematics than rigour and proofs \| What\'s new ★
Is an interpretation mathematics (fit for publication)? ★
Are hypergeometric series not taught often at universities nowadays, and if so, why? ★
Is there a reason it is so rare we can solve differential equations? ★
How many words (i.e. not \"math\" symbols\") should I use in my proofs? ★
Why do we have two theorems when one implies the other? ★
Theorems with many distinct proofs ★
\"Strange\" proofs of existence theorems ★
Studying mathematics
Why\'s math way more puzzling, abstruse than law and medicine? ★
Why there is no Hitchhiker's Guide to Mathematics for Programmers \| Math ∩ Programming ★
Response to Students Who Say \"This Is Not Important\" ★
Daunting papers/books and how to finally read them ★
Learning mathematics in an \"independent and idiosyncratic\" way ★
Mathematical Rigour
Why is writing down mathematical proofs more fault-proof than writing computer code? ★
Consequences of lack of rigour ★
Soft question: Examples where lack of mathematical rigour cause security breaches?) ★
Controversy in mathematics
Replication crisis in mathematics ★
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 ★
Why are most cranks old men? ★
People
Paul du Bois-Reymond - Wikipedia
Other
Can we define algebraic structures (group, rings, modules, fields) via their arrows? ★
If two pairs of numbers have equal sums and products, what can we conclude about the pairs? ★
(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, archive.org, archive.org) (borrow with print disabilities @ archive.org) ★★★ 💭
Archimedes' Revenge (borrow @ archive.org) ★
Compactness and Contradiction (online @ terrytao.wordpress.com)