Wikibooks:University level mathematics

From Wikibooks, open books for an open world
Jump to: navigation, search

The following chart depicts university level mathematics wikibooks, ordered by dependency. There existing an immediate downward path from one wikibook to another often indicates that the lower wikibook possesses the upper as a prerequisite. Conversely, most of the prerequisites of a wikibook can be connected to that wikibook via a downward path, with the sole exception of the backward dependencies that are indicated by a dotted line. A dashed line symbolizes interdependency, and may be interrupted by other wikibooks. A backward dependency is indicated by a dotted line.

Logic
Set Theory
Graph Theory Order Theory
Category Theory
Universal Algebra
Homological Algebra General Topology
Group Theory
General Ring Theory Commutative Ring Theory Linear Algebra over a Ring
Elementary Number Theory
Algebraic Topology Sheaf Theory Field Theory
Scheme Theory
Algebraic Geometry Measure Theory Sequences and Series Differentiation in One Real Variable
Algebraic Number Theory Differentiation and Integration in Several Real Variables
General Geometry Topological Modules
Convex Analysis Complex Analysis Probability Theory Ordinary Differential Equations
Stochastic Processes Numerics Differentiable Manifolds
Riemannian Geometry
Distribution Theory
Approximation Theory
Fourier Analysis Operator Algebra
Partial Differential Equations Analytic Number Theory
Complex Geometry Algorithmic Number Theory