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Why study mathematics: What mathematicians think about it.

V. Arnold

http://books.google.com/books?id=R9LyAAAAMAAJ&pg=PA25&lpg=PA25&dq=Why+study+mathematics:+What+mathematicians+think+about+it.&source=bl&ots=aqJDtRYTwT&sig=CljCFJRzzBU8dCbvWsL_qUF0yIY&hl=ko&sa=X&ei=uKb7TsKQGOWsiQLPppWnDg&ved=0CD0Q6AEwAw#v=onepage&q=Why%20study%20mathematics%3A%20What%20mathematicians%20think%20about%20it.&f=false

 

On teaching mathematics

  • 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

A mathematical trivium

A mathematical trivium II

On-line papers of V.I.Arnold

 

 

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).