BRANCHES OF MATHEMATICS
Mathematics is the oldest surviving and living language in the world. It is no wonder it has matured to many different branches of study. Here are some of the major branches and their general topics of discussion.
MATHEMATICS = study of quantities using numbers.
ALGEBRA = study of numbers and variable numbers.
ARITHMETIC = study of numbers.
INTEGERS = study of the whole numbers in a straight line.
FRACTIONS = study of whole numbers and numbers that are not whole.
DECIMALS = study of fractions using the decimal point.
PERCENTAGE = study of fractions using the denominator 100.
EXPONENTS = study of numbers multiplied by itself a number of times.
ROOTS = study of numbers divided by itself a number of times.
DETERMINANTS = study of matrix and matrices.
GEOMETRY = study of numbers applied to any objects of any dimension.
PLANE GEOMETRY = study of numbers applied to two-dimensional objects.
EUCLIDEAN GEOMETRY = study of three-dimensional space without motion.
TOPOLOGY = study of three-dimensional space after transformation.
TRIGONOMETRY = study of triangles.
PROBABILITY = study of likelihood of future events.
STATISTICS = study of frequency of past events.
CALCULUS = study of variables in a function.
DIFFERENTIAL CALCULUS = study of the curve or line formed by a function.
INTEGRAL CALCULUS = study of the area formed by a function.
DIFFERENTIAL EQUATIONS = study of an equation's function and its derivatives.
DISCRETE MATHEMATICS = study of discrete numbers.
NUMERICAL ANALYSIS = study of the approximation of continuous numbers.
REAL ANALYSIS = study of functions with real variables.
COMPLEX ANALYSIS = study of functions with complex variables.
VECTOR ANALYSIS = study of numbers in motion.
TENSOR ANALYSIS = study of vectors applied over multiple coordinate systems.
LINEAR ALGEBRA = study of systems of linear equations in motion.
ABSTRACT ALGEBRA = study of theoretical numbers using algebra.
NUMBER THEORY = study of the properties of integers.
GROUP THEORY = study of numbers and their set of operations.
GAME THEORY = study of games.
RING THEORY = study of numbers and their behavior inside ring objects.
FUZZY SET THEORY = study of the generalizations of uncertain sets.
The study of Mathematics is still evolving, much like the study of Physics is gravitating towards a Unified Field Theory. There will be more branches to discover as long as humanity has the penchant toward abstraction.
Happy computing!
John
