# A report on Mathematics

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).

- Mathematics174 related topics with Alpha

## Algebra

20 linksQuadratic 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

17 linksAnalysis 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

15 linksStatement 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

14 linksCalculus, 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.

## Set theory

15 linksBranch 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

12 linksFoundations 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

13 linksAlgebraic geometry is a branch of mathematics, classically studying zeros of multivariate polynomials.

## Arithmetic

10 linksArithmetic is an elementary part of mathematics that consists of the study of the properties of the traditional operations on numbers—addition, subtraction, multiplication, division, exponentiation, and extraction of roots.