1 : the science of numbers and their operations, interrelations, combinations, generalizations, and abstractions and of space configurations and their structure, measurement, transformations, and generalizations
2 : a branch of, operation in, or use of mathematics
Dear All Respected Professors. Thank You Very Much All. I shall give you a compact and most suitable definition next month after getting my article published. There is a one and only one compact definition of mathematics, which I have observed and developed during my 20 years of teaching experience.
In my opinion; one of the best definitions of 'geometry' goes back to Felix Klein (Erlangen program, 1872), that is, the discipline investigating invariant properties of an ambient space under a given group of transformations.
I think it is not possible to give a compherensive definition for mathematics. Beacuse you can explain lots of things in the world by mathematical tools. Mathematics is the biggest set of the all sciences. May be one can define another diciplines by using math but math is alone! It does not need any other diciplines except for philosophy.
Partial differential equations with time t as one (or more) of the independent variables have become a useful tool for describing the natural phenomena of science and engineering.
1 : the science of numbers and their operations (see operation 5), interrelations, combinations, generalizations, and abstractions and of space (see 1space 7) configurations and their structure, measurement, transformations, and generalizations Algebra, arithmetic, calculus, geometry, and trigonometry are branches of mathematics.
2 : a branch of, operation in, or use of mathematics the mathematics of physical chemistry
Mathematics has no generally accepted definition. Different schools of thought, particularly in philosophy, have put forth radically different definitions
Mathematics is the science that deals with the logic of shape, quantity and arrangement. Math is all around us, in everything we do. It is the building block for everything in our daily lives, including mobile devices, architecture (ancient and modern), art, money, engineering, and even sports.