Mathematics Atlas

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All Branches of Mathematics

The major fields mathematics is organized into, classified through the Mathematics Subject Classification (MSC2020), the scheme the American Mathematical Society and zbMATH jointly maintain and every research paper in the field is tagged against. Each branch here is a working discipline with its own journals, conferences and open problems. Belongs here: named branches such as Number Theory or Topology, grouped below into twelve subcategories following MSC2020's own ordering. Does not belong here: individual theorems, concepts or the mathematicians who work in a branch, each its own entity type.

All Branches of Mathematics
Filter Results63 entries

Algebra

Algebra

Algebraic Geometry

Algebraic Geometry and K-Theory

Algebraic K-Theory

Algebraic Geometry and K-Theory

Algebraic Number Theory

Number Theory

Algebraic Topology

Topology

Analysis

Analysis

Analytic Number Theory

Number Theory

Applied and Computational Mathematics

Computation, Optimization and Control

Approximation Theory

Analysis

Arithmetic

Number Theory

Calculus

Analysis

Calculus of Variations

Computation, Optimization and Control

Category Theory

Algebra

Coding Theory

Computation, Optimization and Control

Combinatorial Game Theory

Combinatorics and Graph Theory

Combinatorics

Combinatorics and Graph Theory

Commutative Algebra

Algebra

Complex Analysis

Analysis

Computability Theory

Logic, Foundations and Set Theory

Computational Complexity Theory

Computation, Optimization and Control

Control Theory

Computation, Optimization and Control

Differential Equations

Dynamical Systems and Differential Equations

Differential Geometry

Geometry

Differential Topology

Topology

Discrete Geometry

Geometry

Dynamical Systems

Dynamical Systems and Differential Equations

Ergodic Theory

Dynamical Systems and Differential Equations

Field Theory

Algebra

Functional Analysis

Analysis

Galois Theory

Algebra

Game Theory

Mathematical Physics, Biology and Game Theory

Geometric Topology

Topology

Geometry

Geometry

Graph Theory

Combinatorics and Graph Theory

Group Theory

Algebra

Harmonic Analysis

Analysis

Homological Algebra

Algebra

Information Theory

Computation, Optimization and Control

Knot Theory

Topology

Lie Theory

Algebra

Linear Algebra

Algebra

Logic and Foundations

Logic, Foundations and Set Theory

Mathematical Biology

Mathematical Physics, Biology and Game Theory

Mathematical Physics

Mathematical Physics, Biology and Game Theory

Measure Theory

Analysis

Model Theory

Logic, Foundations and Set Theory

Non-Euclidean Geometry

Geometry

Number Theory

Number Theory

Numerical Analysis

Computation, Optimization and Control

Operations Research

Computation, Optimization and Control

Operator Theory

Analysis

Optimization

Computation, Optimization and Control

Order Theory

Algebra

Potential Theory

Analysis

Probability and Statistics

Probability and Statistics

Proof Theory

Logic, Foundations and Set Theory

Real Analysis

Analysis

Representation Theory

Algebra

Ring Theory

Algebra

Set Theory

Logic, Foundations and Set Theory

Topology

Topology

Trigonometry

Geometry

Universal Algebra

Algebra
Sources
MacTutor History of Mathematics Archive
University of St Andrews, School of Mathematics and StatisticsContains: CombinatoricsView the Source
Wikipedia: Measure (Mathematics)
Wikimedia FoundationContains: Measure TheoryView the Source
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