The generating functions have various applications in many branches of mathematics and mathematical physics.
There are various applications of the classical Euler numbers in many branches of mathematics and mathematical physics.
The Banach contraction principle [1], which is a useful tool in the study of many branches of mathematics and mathematical sciences, is one of the earlier and fundamental results in fixed point theory.
The theory of integral equations is frequently applicable in other branches of mathematics and mathematical physics, like as radiative transfer, kinetic theory of gases, neutron transport, etc., and engineering, economics, biology as well as in describing problems connected with the real world (see [1 3] and the references therein).
He lectured in all branches of mathematics (though his mathematical publications outside the field of logic are extremely few) and also on his own logical system.
The theory of a probabilistic metric space is an active field and has applications in many other branches of mathematics such as cluster analysis, mathematical statistics and chaos theory [3, 4].
Partial differential equations are encountered in many problems of physics, mechanics, mathematical finance, mathematical biology, and other branches of mathematics [1, 2].
Author of around 170 scientific articles and books, Steinhaus has left his legacy and contribution in many branches of mathematics, such as functional analysis, geometry, mathematical logic, and trigonometry.
Another consequence of successful logicist reduction of a given branch of mathematics is that mathematical certainty (within that branch) is of a piece with certainty about logical truth.
For their applications to mathematical economies, generalized games, and other branches of mathematics, the reader may consult [1 12] and the references therein.
