Algebra
A branch of mathematics in which arithmetical operations and relationships are generalized by using alphabetic symbols to represent unknown numbers or members of specified sets of numbers
Analysis
The branch of mathematics principally concerned with the properties of functions, largely arising out of calculus
Analytical geometry or coordinate geometry
The branch of geometry that uses algebraic notation and analysis to locate a geometric point in terms of a coordinate system; coordinate geometry
Arithmetic
The branch of mathematics concerned with numerical calculations, such as addition, subtraction, multiplication, and division
Boolean algebra
A system of symbolic logic devised by George Boole to codify logical operations. It is used in computers
Calculus
A branch of mathematics, developed independently by Newton and Leibniz. Both differential calculus and integral calculus are concerned with the effect on a function of an infinitesimal change in the independent variable as it tends to zero
Conics
The branch of geometry concerned with the parabola, ellipse, and hyperbola
Differential calculus
The branch of calculus concerned with the study, evaluation, and use of derivatives and differentials
Game theory
Mathematical theory concerned with the optimum choice of strategy in situations involving a conflict of interest
Geometry
The branch of mathematics concerned with the properties, relationships, and measurement of points, lines, curves, and surfaces
Group theory
The branch of algebra that deals with mathematical groups
Integral calculus
The branch of calculus concerned with the determination of integrals and their application to the solution of differential equations, the determination of areas and volumes, etc.
Monography
The science of constructing monographs
Non-Euclidean geometry
The branch of modern geometry in which certain axioms of Euclidean geometry are restated. It introduces fundamental changes into the concept of space
Number theory
The study of integers, their properties, and the relationship between integers
Numerical analysis
A branch of mathematics concerned with methods, usually iterative, for obtaining solutions to problems by means of a computer
Probability theory
The mathematical study of probability
Set theory
The branch of mathematics concerned with the properties and interrelationships of sets
Statistics
The classification and interpretation of such data in accordance with probability theory and the application of methods such as hypothesis testing to them
Topology
The branch of mathematics concerned with generalization of the concepts of continuity, limit, etc.
Trigonometry
The branch of mathematics concerned with the properties of trigonometric functions and their application to the determination of the angles and sides of triangles. Used in surveying, navigation, etc.
