The author starts with a notation that 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 other institutions dealing with missiles, such as NASA). Cryptography has generated number theory, algebraic geometry over finite fields, algebra, combinatorics and computers. Hydrodynamics procreated complex analysis, partial differential 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. Some of these mysterious relations discovered by the author in his scientific investigations are disscussed in the article. Special attention is given to the problem of informal generalisation of all mathematics.
For the entire collection see [Zbl 1047.00015].