Mathematics (Pure Mathematics (Structure (Graph Theory deals with the…
is the study of numbers, and its operations.
are calculations from input values that result into an output value.
are objects that make most of mathematics and related topics.
1, 2, 3, 4, 5
-4(3.14), sqrt(2), e
-3, 1/3, 1.23
sqrt(3), pi, 0.10010001...
-2, -1, 0, 1, 2
investigates the intuitive notion of order using binary relations
deals with the study of graphs.
are mathematical structures used to describe relations between objects
deals with the study of groups.
consist of a set of elements equipped with an operation that combines any two elements to form a third element and must satisfy the following axioms.
is the study of mathematical symbols and letters as variables for numbers
deals with the study of positive integers.
deals with combinations of objects belonging to a finite set in accordance with certain constraints
deals with the study of measure.
is a systematic way to assign a number to each suitable subset of that set
deals with the study of fractals.
are objects that are used to describe naturally occurring events
refers to the properties of space through deforming.
deals with the study of curves, surfaces, and manifolds.
is the study of figures such as shapes and how they interact with each other
deals with the study of relationships of lengths and angles of triangles.
studies sets or collections of objects
includes the mathematical study of logic and the applications of formal logic to other areas of mathematics
Theoretical Computer Science
concerned with the amount of data that can be stored on a given medium, and hence deals with concepts such as compression and entropy.
study of tractability by computer; some problems, although theoretically solvable by a computer, are so expensive in terms of time or space that solving them is likely to remain practically unfeasible, even with the rapid advancement of computer hardware
examines the limitations of various theoretical models of the computer, including the most well-known model – the Turing machine
deals in an abstract way with mathematical structures and relationships between them :