User:Tompw/maths templates

Intro

All created 09-Oct-06

Note: What is shown here are *not* the templates. They are copies of the tenplates when I created them. If you edit the templtates, the chanegs won't show here. Please edit the actual template rather than this page. The templates proper can be accessed via the "Navigation boxes" links of the top box. Tompw 22:07, 9 October 2006 (UTC)

Maths nav boxes that currently exsist:

Mathematics

Version 1:

Major fields of Mathematics v t e
Logic • Set theory • Algebra • Number theory • Analysis • Geometry • Topology Applied mathematics • Probability • Statistics • Mathematical physics
Category theory • Abstract algebra • Linear algebra • Algebraic structures • Algebraic number theory • Numbers Analytic number theory • Calculus • Real analysis • Complex analysis • Dynamical systems • Operator theory Representation theory • Algebraic geometry • Euclidean geometry • Non-Euclidean geometry • Differential geometry Geometric topology • Point set topology • Algebraic topology • Discrete mathematics • Numerical analysis
See also: Portal • Areas of mathematics • History of mathematics • Mathematical notation • List of mathematical lists
Navigation boxes: Foundations - Algebra - Number theory - Analysis - Geometry - Topology - Applied

Version 2:

Major fields of Mathematics v t e
Logic • Set theory • Algebra • Number theory • Analysis • Geometry • Topology Applied mathematics • Probability • Statistics • Mathematical physics
See also: Portal • Areas of mathematics • History of mathematics • Mathematical notation • List of mathematical lists

Foundations

Major topics in Foundations of Mathematics v t e
Mathematical logic: Peano axioms • Mathematical induction • Axiomatic system • Mathematical proof Model theory • Mathematical constructivism • Modal logic • List of mathematical logic topics
Set theory: Set • Naive set theory • Axiomatic set theory • Zermelo set theory • Zermelo-Fraenkel set theory Descriptive set theory • Determinacy • Russell's paradox • List of set theory topics •
Category theory: Category • Type theory • Topos theory • Glossary of category theory • List of category theory topics

Algebra

Major topics in Algebra v t e
Elementary algebra • Abstract algebra • Commutative algebra • Order theory • Category theory • K-theory
Algebraic structures: Group - Group theory • Ring - Ring theory • Field - Field theory • Universal algebra
Linear algebra: Matrix - Matrix theory • Vector - Vector space • Inner product - Inner product space • Hilbert space
Lists: Abstract algebra topics • Algebraic structures • Group theory topics • Linear algebra topics Glossaries: Field theory • Group theory • Linear algrebra • Ring theory

Number theory

Major topics in Number theory v t e
Algebraic number theory • Analytic number theory • Geometric number theory • Computational number theory
Numberss • Natural numbers • Prime numbers • Rational numbers • Irrational number • Algebraic numbers • Transcendental number • Arithmetic • Modular arithmetic • Arithmetic functions
Quadratic forms • L-functions • Diophantine equations • Diophantine approximation • Continued fraction
List of recreational number theory topics • List of number theory topics

Analysis

Major topics in Analysis v t e
Calculus: Integration • Differentiation • Differential equations • Fundamental theorem of calculus • Calculus of variations • Vector calculus • Tensor calculus • List of integrals • Table of derivatives
Real analysis • Complex analysis • Functional analysis • Fourier analysis • Measure theory • Representation theory Functions • Continuous function • Special functions • Limit • Series • Infinity

Geometry

Major revision: 10-Oct-06 - Diff

Major topics in Geometry v t e
Euclidean geometry: Combinatorial • Convex • Discrete • Plane geometry • Solid geometry Non-Euclidean geometry: Elliptic • Parabolic • Hyperbolic • Symplectic • Spherical • Affine • Projective • Riemannian
Trigonometry • Lie groups • Algebraic geometry • Differential geometry List of mathematical shapes • List of geometry topics • List of differential geometry topics

Topology

Major topics in Topology v t e
Topological spaces • General (point set) topology • Algebraic topology • Homology theory • Cohomology theory Differential topology • Geometric topology • Combinatorial topology
Open set, closed set • Continuity • Compact space • Uniform spaces • Metric spaces • Hausdorff space Homotopy theory • Homotopy groups • Fundamental group • Simplicial complexes • CW complexes Exact sequence • Homological algebra • K-theory
Glossary of general topology • List of general topology topics • List of algebraic topology topics • Category:Topology

Applied

Major topics in Applied mathematics v t e
Discrete mathematics: Combinatorics • Graph theory • Game theory • Discrete geometry • Theoretical computer science • Computability theory • Complexity theory • Information theory •
Probability • Probability distribution • Probability theory • Statistics • Stochastic process • Operations research • Stochastic processes •
Numerical analysis • Mathematical biology • Optimization • Dynamical systems • Chaos theory • Financial mathematics • Cryptography •