The extensive list of math resources

Below you will find the most extensive collection of useful math resources from the Web: calculators, graphers, interactive visualizations and software.

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  • The tools are ordered according to Wikipedia's list of mathematics topics

Elementary algebra

Being among the main branches of math, elementary algebra is a science covering the basic concepts of algebra. Unlike arithmetic, it deals with variables, not specified numbers, which entail the understanding of general arithmetic rules. Taught to students at secondary schools.

Linear algebra

This branch of math deals with vector spaces and mappings between them. Linear algebra also studies planes, lines, and subspaces.

2D Cartesian algebra

This branch of math covers a Cartesian coordinate system that specifies points in a plane by two numerical coordinates. They are distanced to the particular point from two perpendicular directed lines, each of which is called an axis.

Matrices

A matrix (pl. matrices) is an array of symbols, numbers, and expressions that are arranged in columns and rows. They all are manipulated and interpreted in a certain way to make calculations.

Abstract algebra

It's a math branch that is also called modern algebra. It studies algebraic structures such as vector spaces, rings, modules, lattices, groups, and fields. To distinguish this branch from other algebras, the term "abstract algebra" was allocated at the beginning of the 20th century.

Complex analysis

Complex analysis is a math branch investigating complex numbers and their functions. It's used in applied math, geometry, number theory, and physics. Moreover, one can apply complex analysis to engineering fields such as mechanical, nuclear, and electrical engineering.

Functional analysis

Functional analysis is a branch of mathematics, formed by vector spaces, limit-related structures, and linear operations that act upon vector spaces and respect limit-related structures as suitable.

Harmonic analysis

It is a math branch representing functions and signals such as basic waves superposition. It is used in quantum mechanics, neuroscience, signal processing, and tidal analysis. Harmonic analysis also studies Fourier transforms and Fourier series.

Multivariable calculus

It's the extension that integrates and differentiates more than one variable.

Real analysis

It's a branch of mathematics that is also called the theory of functions of a real variable. It deals with real numbers, the analytic properties of real sequences in particular, including real-valued functions related properties, the convergence of sequences of real numbers, and the calculus of the real numbers.

Calculus of variations

Being the field of math analysis, calculus of variations deals with minimizing and maximizing functionals such as definite integrals to real numbers.

Analytic geometry (coordinate geometry)

Also known as Cartesian geometry, analytic geometry studies a coordinate system and contrasts with synthetic geometry. It's used in engineering and physics. Moreover, it serves as the foundation of computational, algebraic, discrete, and differential geometry.

Discrete geometry (combinatorial geometry)

It's a branch of geometry that studies constructive methods and combinatorial properties of geometric basic objects such as circles, lines, spheres, planes, etc.

General geometry calculators

They've been developed to solve various topics in geometry and help you calculate area, distance, points of intersection, volume, etc. Geometry calculators may be used to check homework, find answers to math questions, and practice calculations for deeper understanding.

Combinations

It's a way of selecting items in no particular order. Sometimes, it refers to the number of combinations.

Factorials

Factorial is the product of positive integers equal to n or less than it, which is denoted by n! For example, 4! = 4 x 3 x 2 x 1 = 24.

Graph theory

It's the study of graphs aka math structures that model relations between objects. A graph may be directed (from one vertex to another) or undirected (with no distinction between vertices), and it is made of lines, vertices, points, or nodes.

Logic calculators

Developed to simplify complex algorithms, logic calculators apply single functions to boolean expressions.

Algebraic number theory

Algebraic number theory is a branch of number theory studying structures of algebraic integers.

Number theory

Also known as arithmetic, number theory studies integers and natural numbers. It's also called "The Queen of Mathematics".

Analytic number theory

It's another branch of number theory that solves integers by using methods of mathematical analysis.

General aspects of probability

Probability is defined as a measure of the likeliness quantified by numbers between 0 and 1, where 0 means impossibility and 1 indicates certainty.

Foundations of probability theory

This math branch deals with the analysis of random phenomena. Its central objects include stochastic processes, mathematical abstractions, events, and random variables.

Random variables/Statistics

Used in statistics and probability, it is a variable with a subject to variations due to chance value.

Conditional probability

It's a branch of probability theory that measures the probability of some event by reference to another event. It is based on evidence, assumption, assertion, or presumption.

Distribution calculators

Distribution is a math object generalizing functions in mathematical analysis. Distribution calculators are developed to find the area under distribution curves by generating step by step explanations and graphic representations of required areas.

Probability density functions

PDF is a math function describing the likelihood of a random variable, taken on a given value. Its probability is given by the integral of its density over that range.

Game Theory

This theory applies to mathematical models that study conflicts and cooperation between decision-makers. It engages a range of behavioral relations and is used in computer science, psychology, logic, political science, economics, and biology.

Additional mathematical objects

This section includes mathematical objects that could be attributed to many of the previous subsections as they corresponded to definitions and functions of several ones. Thus, they've been gathered in this stand-alone group to help you figure out their functions.

Functions

Here you can find the non-standard functions from mathematics, which can be built with wolfram.com.

Best generic graphers

Here're the instruments recommended by our experts to help you build the graphs of general functions.

Visualising of algorithms

The best and most extensive catalog of different algorithms visualizations.

Universal calculators

They are cross-functional calculators to help you solve the math issues of different compilation.