How Can We Define Mathematics In A Precise Way?

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Rajesh Shri Profile
Rajesh Shri answered
Mathematics has been defined in many different ways throughout the ages.
Today, mathematics is an inevitable part of science and it is used in almost every field be it natural science, engineering, medicine, or economics. Applied mathematics has always been leading to important discoveries and giving birth to new disciplines. However, pure maths is also pursued by dedicated mathematicians.
Now let us examine the definition of mathematics from some dependable sources.
The definition from Cambridge dictionary says that it is the study of numbers, shapes and space using reason and usually a special system of symbols and rules for organizing them.

Mathematics is vast and has as different arms that can be defined as follows-
Algebra: a part of mathematics in which signs and letters represent numbers
Arithmetic: A the part of mathematics that involves the adding and multiplying, etc. of numbers:

Geometry: The area of mathematics relating to the study of space and the relationships between points, lines, curves and surfaces.
Other than the above, modern maths also includes Statistics and probability, calculus, vector calculus, trigonometry etc.

Another great source is Merriam Webster's dictionary and according to this Mathematics is defined as the science of numbers and their operations, interrelations, combinations, generalizations, and abstractions and of space configurations and their structure, measurement, transformations, and generalizations.

Basically we can sum it up as a part of science with which we can express amounts, sizes and shapes quantitatively by the use of numbers and signs.
Kim Neblett Profile
Kim Neblett answered
Mathematics is term used to describe our process for understanding  space, dimension, quantity and value. Numbers are the constant of mathematics but they are not the definition of it.  The language attached to mathematics is its very definition, because we have developed an infinite number of mathematical words, maths becomes finite. ©
-Kimberleigh N.K Neblett  12/03/11 02:25am GMT

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