Pure Math

Pre-Algebra & Algebra

Pre-algebra problems and discussion, such as natural numbers, variables, expressions evaluation, integers, fractions, decimals and negative numbers; and algebra topics, discussing such problems as inequalities, polynomials, exponents, monomials, relations and functions.
Moderator: Moderators

Calculus

Calculus involves:

• complex, functional and real analysis,
• integration and measure theory,
• harmonic analysis,
• multivariable calculus,
• q-analogs,
• variational topics, and
• tensor theory.

Moderator: Moderators

Geometry

Geometry is "the study of spatial figures like circles and cubes." [src] Includes topology. Geometry studies topics such as:

• curves,
• triangles,
• circles and pi,
• general topology,
• differential and algebraic geometry,
• algebraic and geometric topology,
• knot theory and lie groups,
• properties of points,
• Riemannian and metric geometry, and
• scheme theory.

Moderator: Moderators

Combinatorics

Combinatorics is "the study of discrete (and usually finite) objects," [src] as well as graph theory.
Moderator: Moderators

Logic

Logical mathematics is the foundation of all mathematics, and focuses on:

• Boolean algebra,
• first-order theories,
• large cardinal properties, and
• set theory.

Moderator: Moderators

Number Theory

Number Theory "studies natural, or whole, numbers," [src] and also discusses:

• algebraic and recreational number theory,
• Diophantine theory,
• prime numbers, and
• zeta functions.

Moderator: Moderators