The study of mathematics is heavily characterised by topics such as quantity, structure, space and change. Due to its vast range of topics, mathematics generally has no accepted definition. However, many years ago Aristotle defined mathematics as “the science of quantity.”
Mathematics is an incredibly broad subject, with university students covering dozens of concepts such as linear algebra, calculus and its applications, proofs and problem solving, probability, computing and numerics and statistics.
Broadly speaking, mathematics can be subdivided into the study of quantity, space, structure and change (arithmetic, geometry, algebra and analysis respectively).
The study of quantity starts with numbers, first with the familiar natural numbers and integers. The deeper properties of integers are studied by the number theory, sometimes called ‘The Queen of Mathematics!’
The particular study of space originates with geometry, in particular, Euclidean geometry, which is the combination of space and numbers, surrounding the well-known Pythagorean theorem!
With the mathematical structure, lots of mathematical objects manifest internal structure as a result of relations or operations that are defined on the set. Within this particular subdivision of mathematics, one can study groups, rings, fields and other abstract systems, together such studies constitute the domain of abstract algebra.
Understanding and describing change is a regular theme in natural sciences, with calculus developed as a means to investigate it. Functions are of concern here, as a central concept describing a changing quantity.
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