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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

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)

History of by-topic / Mathematics @master git clone https://git.catseye.tc/The-Glosscubator/