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Lockhart argues for imagination and discovery in school mathematics through a deliberately polemical essay.
Lockhart argues for imagination and discovery in school mathematics through a deliberately polemical essay.
Discusses the roles of learning, persistence and cooperation in mathematical research.
Discusses the roles of learning, persistence and cooperation in mathematical research.
A two-dimensional narrator encounters other dimensions in a geometric story with Victorian social satire.
A two-dimensional narrator encounters other dimensions in a geometric story with Victorian social satire.
Dialogues and explanations explore why definitions and proofs arise in algebra, analysis, geometry and logic.
Dialogues and explanations explore why definitions and proofs arise in algebra, analysis, geometry and logic.
Puzzles, games and mathematical essays explore arithmetic, geometry, ciphers and recreational constructions.
Puzzles, games and mathematical essays explore arithmetic, geometry, ciphers and recreational constructions.
Tao considers how mathematical practice and collaboration might respond to research-capable AI tools.
Tao considers how mathematical practice and collaboration might respond to research-capable AI tools.
Thurston reflects on understanding, proof and communication, drawing on foliations and three-dimensional geometry.
Thurston reflects on understanding, proof and communication, drawing on foliations and three-dimensional geometry.
Advice and linked essays address mathematical exposition, revision and communication with readers.
Advice and linked essays address mathematical exposition, revision and communication with readers.
Uses monoidal categories and diagrams to connect processes, cobordisms, proofs and programs.
Uses monoidal categories and diagrams to connect processes, cobordisms, proofs and programs.
Discusses mathematical reasoning, geometry, hypotheses and physical theories from Poincaré’s historical viewpoint.
Discusses mathematical reasoning, geometry, hypotheses and physical theories from Poincaré’s historical viewpoint.
Geometric models and visual exercises explore higher-dimensional space alongside early twentieth-century speculation.
Geometric models and visual exercises explore higher-dimensional space alongside early twentieth-century speculation.
Gowers discusses theory-building and problem-solving, using combinatorics to examine mathematical value and communication.
Gowers discusses theory-building and problem-solving, using combinatorics to examine mathematical value and communication.
An interconnected tour of mathematical physics, categories, topology, geometry and algebra.
An interconnected tour of mathematical physics, categories, topology, geometry and algebra.
Examines multiple sources of mathematical value and the connections that can develop between them.
Examines multiple sources of mathematical value and the connections that can develop between them.