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Mathematics:

 iLumina Mathematics Classification Scheme 6.0.0 Mathematics 6.1.0 Numbers and Computation Number Concepts Arithmetic Patterns and Sequences Measurement 6.2.0 Algebra Graphing Techniques Algebraic Manipulation Functions Equations Inequalities Matrices Sequences and Series Algebraic Proof 6.3.0 Trigonometry Angles Trigonometric Functions Inverse Trigonometric Functions Trigonometric Identities Trigonometric Equations Roots of Unity Spherical Trigonometry Fractal Geometry 6.4.0 Plane Geometry Geometric Proof Measurement Lines and Planes Angles Triangles Polygons Circles Patterns Transformations 6.5.0 Solid Geometry Dihedral Angles Spheres Cones Cylinders Pyramids Prisms Polyhedra 6.6.0 Analytic Geometry Cartesian Coordinates Lines Circles Planes Conics Polar Coordinates Parametric Curves Surfaces Distance Formula 6.7.0 Discrete Mathematics Cellular Automata Combinatorics Game Theory Algorithms Recursion Graph Theory Linear Programming Order and Lattices Theory of Computation Chaos 6.8.0 Data Sets Data Collection Data Representation 6.9.0 Single Variable Calculus Functions Limits Continuity Differentiation Integration Series 6.10.0 Multivariate Calculus Functions of Several Variables Limits Continuity Partial Derivatives Multiple Integrals Taylor Series 6.11.0 Advanced Calculus Vector Valued Functions Line Integrals Surface Integrals Stokes Theorem Curvilinear Coordinates Linear Spaces Fourier Series Orthogonal Functions Tensor Calculus Calculus of Variations Operational Calculus 6.12.0 Logic and Foundations Logic Set Theory Computability and Decidability Model Theory 6.13.0 Linear Algebra Systems of Linear Equations Matrix Algebra Vectors in R3 Vector Spaces Linear Transformations Eigenvalues and Eigenvectors Inner Product Spaces 6.14.0 Abstract Algebra Groups Rings and Ideals Fields Galois Theory Multilinear Algebra Category Theory K-Theory Homological Algebra 6.15.0 Number Theory Integers Primes Congruences Diophantine Equations Irrational Numbers Coding Theory Cryptography Modular Arithmetic 6.16.0 Advanced Geometry Projective Geometry Differential Geometry Algebraic Geometry 6.17.0 Topology Point Set Topology General Topology Differential Topology Algebraic Topology 6.18.0 Difference Equations First Order Second Order Linear Systems Z Transforms Orthogonal Polynomials 6.19.0 Dynamical Systems 1D Maps 2D Maps Lyapunov Exponents Bifurcations Fractals Differentiable Dynamics Conservative Dynamics Chaos Complex Dynamical Systems 6.20.0 Ordinary Differential Equations First Order Second Order Linear Oscillations Nonlinear Oscillations Systems of Differential Equations Sturm Liouville Problems Special Functions Power Series Methods Laplace Transforms 6.21.0 Partial Differential Equations First Order Elliptic Parabolic Hyperbolic Integral Transforms Integral Equations Potential Theory Nonlinear Equations Symmetries and Integrability 6.22.0 Real Analysis Metric Spaces Convergence Continuity Differentiation Integration Measure Theory 6.23.0 Complex Analysis Convergence Infinite Series Analytic Functions Integration Contour Integrals Conformal Mappings Several Complex Variables 6.24.0 Functional Analysis Hilbert Spaces Banach Spaces Topological Spaces Locally Convex Spaces Bounded Operators Spectral Theorem Unbounded Operators Harmonic Analysis Global Analysis 6.25.0 Numerical Analysis Computer Arithmetic Solutions of Equations Solutions of Systems Interpolation Numerical Differentiation Numerical Integration Numerical Solutions of ODEs Numerical Solutions of PDEs 6.26.0 Statistics Elementary Statistics Sampling Linear Regression Nonlinear Regression Queuing Theory Bayesian Statistics Confidence Testing 6.27.0 Probability Elementary Probability Random Variables Limit Theorems Brownian Motion Markov Chains Probability Measures Stochastic Processes 6.28.0 Signal Analysis Sampling Theory Filters Noise Data Compression Image Processing 6.29.0 Integral Transforms Fourier Transforms Laplace Transforms Hankel Transforms Wavelets Other Transforms 6.30.0 Applied Mathematics Mathematical Physics Mathematical Economics Mathematical Biology Mathematics for Business Engineering Mathematics Mathematical Sociology Mathematics for Social Sciences Mathematics for Computer Science Mathematics for Humanities Consumer Mathematics 6.31.0 Mathematics History General Famous Problems Biographies of Mathematicians

Developed by: Dr. Russell Herman and Dr. Gabriel Lugo based upon
the Mathematics taxonomy developed in 2002 by the Math NSDL Taxonomy
Committee of the Mathematical Sciences Conference Group on Digital
Educational Resources. See the  mapping to the Math NSDL taoxonomy.

iLumina Digital Library Form ims_math.htm v1.01