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Intersection theorem (projective geometry) Japanese theorem for concyclic polygons (Euclidean geometry) Japanese theorem for concyclic quadrilaterals (Euclidean geometry) Kawasaki's theorem (mathematics of paper folding) Lester's theorem (Euclidean plane geometry) Lexell's theorem (spherical geometry) Menelaus's theorem ; Miquel's theorem
The Elements (Ancient Greek: Στοιχεῖα Stoikheîa) is a mathematical treatise consisting of 13 books attributed to the ancient Greek mathematician Euclid c. 300 BC. It is a collection of definitions, postulates, propositions (theorems and constructions), and mathematical proofs of the propositions.
Euler's theorem; Five color theorem; Five lemma; Fundamental theorem of arithmetic; Gauss–Markov theorem (brief pointer to proof) Gödel's incompleteness theorem. Gödel's first incompleteness theorem; Gödel's second incompleteness theorem; Goodstein's theorem; Green's theorem (to do) Green's theorem when D is a simple region; Heine–Borel ...
It contains many important results in plane and solid geometry, algebra (books II and V), and number theory (book VII, VIII, and IX). [52] More than any specific result in the publication, it seems that the major achievement of this publication is the promotion of an axiomatic approach as a means for proving results.
Ringel-Youngs theorem 1971: Daniel Quillen: Adams conjecture: algebraic topology: On the J-homomorphism, proposed 1963 by Frank Adams: 1973: Pierre Deligne: Weil conjectures: algebraic geometry: ⇒Ramanujan–Petersson conjecture Proposed by André Weil. Deligne's theorems completed around 15 years of work on the general case. 1975: Henryk ...
These treatises attempt to construct a rigorous foundation for calculus and use historical materialism to analyze the history of mathematics. Marx's contributions to mathematics did not have any impact on the historical development of calculus, and he was unaware of many more recent developments in the field at the time, such as the work of ...
The 6th problem concerns the axiomatization of physics, a goal that 20th-century developments seem to render both more remote and less important than in Hilbert's time. Also, the 4th problem concerns the foundations of geometry, in a manner that is now generally judged to be too vague to enable a definitive answer.
This was stated and proved without attribution in Burnside's 1897 textbook, [6] but it had previously been discussed by Augustin Cauchy, in 1845, and by Georg Frobenius in 1887. Cayley–Hamilton theorem. The theorem was first proved in the easy special case of 2×2 matrices by Cayley, and later for the case of 4×4 matrices by Hamilton.
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