The earliest recorded beginnings of geometry can be traced to ancient Mesopotamia and Egypt in the 2nd millennium BC. Early geometry was a collection of empirically discovered principles concerning le ...
Because the recorded development of geometry spans more than two millennia, it is hardly surprising that perceptions of what constitutes geometry have evolved throughout the ages:Practical geometry Ge ...
Geometry (Ancient Greek: γεωμετρ?α; geo- "earth", -metron "measurement") is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties o ...
Two equations or two systems of equations are equivalent if they have the same set of solutions. The following operations transform an equation or a system into an equivalent one:Adding or subtracting ...
Main articles: Identity (mathematics) and List of trigonometric identitiesAn identity is a statement resembling an equation which is true for all possible values of the variable(s) it contains. Many i ...
Equations can be classified according to the types of operations and quantities involved. Important types include:An algebraic equation or polynomial equation is an equation in which both sides are po ...
A weighing scale, balance, or seesaw is often presented as an analogy to an equation.Each side of the balance corresponds to one side of the equation. Different quantities can be placed on each side: ...
See also: Expression (mathematics)Equations often contain terms other than the unknowns. These other terms, which are assumed to be known, are usually called constants, coefficients or parameters. Usu ...
In mathematics, an equation is a formula of the form A = B, where A and B are expressions that may contain one or several variables called unknowns, and "=" denotes the equality binary relation. Altho ...
Calculus is used in every branch of the physical sciences, actuarial science, computer science, statistics, engineering, economics, business, medicine, demography, and in other fields wherever a probl ...
Limits and infinitesimalsMain articles: Limit of a function, Infinitesimal, and Infinitesimal CalculusCalculus is usually developed by working with very small quantities. Historically, the first metho ...
Main article: History of calculusModern calculus was developed in 17th century Europe by Isaac Newton and Gottfried Wilhelm Leibniz, but elements of it have appeared in ancient Greece, China, medieval ...
Calculus is the mathematical study of change, in the same way that geometry is the study of shape and algebra is the study of operations and their application to solving equations. It has two major br ...
Primary education in mathematics often places a strong focus on algorithms for the arithmetic of natural numbers, integers, fractions, and decimals (using the decimal place-value system). This study i ...
Main article: Number theoryThe term arithmetic also refers to number theory. This includes the properties of integers related to primality, divisibility, and the solution of equations in integers, as ...
