# A report onMathematics                   Area of knowledge that includes such topics as numbers , formulas and related structures (algebra), shapes and the spaces in which they are contained (geometry), and quantities and their changes (calculus and analysis).

- Mathematics ## 174 related topics with Alpha ## Geometry                Geometry is, with arithmetic, one of the oldest branches of mathematics. ## Algebra

Quadratic formula.svg expresses the solution of the equation

Quadratic formula.svg expresses the solution of the equation      Algebra is one of the broad areas of mathematics. ## Mathematical analysis  Analysis is the branch of mathematics dealing with continuous functions, limits, and related theories, such as differentiation, integration, measure, infinite sequences, series, and analytic functions.

## Axiom

Statement that is taken to be true, to serve as a premise or starting point for further reasoning and arguments.

Statement that is taken to be true, to serve as a premise or starting point for further reasoning and arguments.

As used in mathematics, the term axiom is used in two related but distinguishable senses: "logical axioms" and "non-logical axioms". ## Calculus      Calculus, originally called infinitesimal calculus or "the calculus of infinitesimals", is the mathematical study of continuous change, in the same way that geometry is the study of shape, and algebra is the study of generalizations of arithmetic operations.

## Mathematical logic

Mathematical logic is the study of formal logic within mathematics. ## Set theory

Branch of mathematical logic that studies sets, which can be informally described as collections of objects.

Branch of mathematical logic that studies sets, which can be informally described as collections of objects.   Although objects of any kind can be collected into a set, set theory, as a branch of mathematics, is mostly concerned with those that are relevant to mathematics as a whole.

## Foundations of mathematics

Foundations of mathematics is the study of the philosophical and logical and/or algorithmic basis of mathematics, or, in a broader sense, the mathematical investigation of what underlies the philosophical theories concerning the nature of mathematics. ## Algebraic geometry   Algebraic geometry is a branch of mathematics, classically studying zeros of multivariate polynomials. ## Arithmetic    