블라디미르 아놀드
Why study mathematics: What mathematicians think about it.
V. Arnold
- V.I. Arnold, 1997-3
- This is an extended text of the address at the discussion on teaching of mathematics in Palais de Découverte in Paris on 7 March 1997.
Abel’s theory and modern Mathematics
An Interview with VladimirArnold
Polymathematics: is mathematics a single science or a set of arts? V.I.Arnold http://basepub.dauphine.fr/bitstream/handle/123456789/6842/polymathematics.PDF
All mathematics is divided into three parts: cryptography (paid for by CIA, KGB and the like), hydrodynamics (supported by manufacturers of atomic submarines) and celestial mechanics (financed by military and by other institutions dealing with missiles, such as NASA.). Cryptography has generated number theory, algebraic geometry over finite fields, algebra \footnote{The creator of modern algebra, Vi\`ete, was the cryptographer of King Henry~I\/V of France.}, combinatorics and computers. Hydrodynamics procreated complex analysis, partial derivative equations, Lie groups and algebra theory, cohomology theory and scientific computing. Celestial mechanics is the origin of dynamical systems, linear algebra, topology, variational calculus and symplectic geometry. The existence of mysterious relations between all these different domains is the most striking and delightful feature of mathematics (having no rational explanation).