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Mathematics

Covering all areas of mathematics from basic arithmetic to advanced topics like calculus, statistics, and theoretical mathematics.
Sub-categories:

Algebra is a branch of mathematics dealing with symbols and rules for manipulating those symbols; it is a unifying thread of almost all of mathematics and includes everything from solving elementary equations to the study of abstractions such as groups, rings, and fields.

Geometry is a branch of mathematics that deals with the properties, measurements, and relationships of points, lines, angles, surfaces, and solids. Explore the various facets and applications of geometry across different fields.

Calculus is a branch of mathematics focused on limits, functions, derivatives, integrals, and infinite series. This field is essential for understanding the changes between values that are related by a function.

Statistics and Probability involves the study and application of data analysis, collection, interpretation, and presentation. This field is essential for making predictions and informed decisions in various industries.

Discrete Mathematics is the study of mathematical structures that are fundamentally discrete and not supporting or requiring the notion of continuity. It encompasses a range of topics that are used extensively in the fields of computer science, information technology, and cryptography.

Number Theory, often referred to as the 'queen of mathematics', delves into the properties and relationships of integers. It is a branch of pure mathematics with applications in cryptography, computer science, and physics.

Mathematical Logic explores the application of formal logic to mathematics. It covers various sub-disciplines that intersect with both philosophical logic and the foundations of mathematics.

Set Theory is the mathematical study of sets, which are collections of objects. It is a fundamental theory that provides a basis for various other areas of mathematics.

Combinatorics is a branch of mathematics dealing with the study of finite or discrete structures. It involves counting, arrangement, and combination of sets of elements and examines the ways in which objects can be selected and arranged.

Graph Theory is a branch of mathematics that studies the properties of graphs, which are mathematical structures used to model pairwise relations between objects. This area is foundational in computer science and combinatorics, with applications in network analysis, biology, linguistics, and social sciences.

Game Theory explores mathematical models of strategic interaction among rational decision-makers. It is used in economics, political science, and psychology, as well as logic, computer science, and biology.

Linear Algebra is a branch of mathematics that deals with vectors, spaces, matrices, and linear equations. It is essential for various fields including computer science, engineering, physics, and more, offering tools for dealing with linear systems and transformations.

Explore the world of differential equations, a cornerstone of mathematical modeling used to describe diverse phenomena in engineering, physics, and other sciences.

Topology is a major area of mathematics concerned with the properties of space that are preserved under continuous transformations. Topology includes the study of concepts such as continuity, compactness, and connectedness, and has applications in many areas of science and engineering.

Mathematical Physics involves the application of mathematics to problems in physics and the development of mathematical methods suitable for the formulation of physical theories. It bridges the gap between mathematics and physics and contributes to the theoretical foundations of both disciplines.

Applied Mathematics focuses on the use of mathematical methods and techniques across various fields to solve complex real-world problems. This interdisciplinary branch connects mathematical theory with practical applications.