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, Abstract Algebra

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Works on the subject of mathematics. Note that most such works can be found in a more specific sub-topic of this one.

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 ★

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

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 ★

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

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 ★

Endless controversy ★

Why are most cranks old men? ★

People

Paul du Bois-Reymond - Wikipedia

James Dugundji - 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? ★

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, archive.org, archive.org) (borrow with print disabilities @ archive.org) ★★★ 💭

Archimedes' Revenge (borrow @ archive.org) ★

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