Mathematics

Green's Function Library Green's Function Library- Collection of Green's function solutions to canonical differential equations. Navier-Stokes Type Equations Navier-Stokes Type Equations- Explicit solutions provided for this particular type of equation and their relations to the heat equation, Burger's equation, and Euler's equation. Finding Green's Functions for ODEs Finding Green's Functions for ODEs- A brief but technical overview of methods of finding Green's functions. By Evans M. Harrell II and James V. Herod. MathPages: Calculus and DiffEq Notes MathPages: Calculus and DiffEq Notes- Kevin Brown's compilation of postings including many topics in differential equations. Table of Laplace Transforms Table of Laplace Transforms- This page includes an extensive table of Laplace transforms. Laplace transforms are used to solve certain differential equations. PRIDE PRIDE- Products by Rapid Integrated Detailed Engineering. An application of PDEs in engineering design. Computational PDEs Unit Computational PDEs Unit- School of Computing, University of Leeds. Research details, publications, software and resources. arXiv Front: AP Analysis of PDEs arXiv Front: AP Analysis of PDEs- PDEs section of the mathematics e-print arXiv. The Animated Telegraph equation The Animated Telegraph equation- This demonstration illustrates the behaviour of solutions of the telegraph equation Nonlinear Differential Equations at Glasgow Nonlinear Differential Equations at Glasgow- The site describes research activities of the differential equations group in the mathematics department at the university of Glasgow,… GetDP (a General environment for the treatment of Discrete Problems) GetDP (a General environment for the treatment of Discrete Problems)- A scientific software environment for the numerical solution of integro-differential equations, open to the c… Bifurcations, Equilibria, and Phase Lines: Modern Topics in Differential Equation Courses Bifurcations, Equilibria, and Phase Lines: Modern Topics in Differential Equation Courses- Online course material MGNet MGNet- Information related to multigrid, multilevel, multiscale, aggregation, defect correction, and domain decomposition methods. The World of Mathematical Equations The World of Mathematical Equations- Gives solutions to different types of ordinary differential equations, including linear and nonlinear functions. Many pages use PDF. G-Systems G-Systems- Theory of chord structures to create music through algorithms by Vladimir Ladma. A=B A=B- Downloadable combinatorics text by Marko Petkovsek, Herbert Wilf and Doron Zeilberger. Published by A. K. Peters. Enumeration of Polyhedra Enumeration of Polyhedra- Enumeration of polyhedra with up to 9 faces by Steven Dutch. Squared Squares Squared Squares- Tilings of squares and rectangles, the classical problem and variations. Polya's Enumeration Theorem Polya's Enumeration Theorem- An article on generating functions and Polya's theory of counting by Karl Dahlke. Combinatorics Combinatorics- MathWorld article with basic definitions and links. The Cutting Sticks Problem The Cutting Sticks Problem- An unsolved combinatorial problem by Frans Faase. Series Expansions Series Expansions- Iwan Jensen counts polyominoes (aka lattice animals), paths, and various related quantities. Generating Functions Generating Functions- Introduction to generating functions with interactive java applets by Alexander Bogomolny. The Math Forum Math Library - Combinatorics The Math Forum Math Library - Combinatorics- Comprehensive catalog of websites relating to Combinatorics. Combinatorial Data Combinatorial Data- Brendan McKay's collection of miscellaneous tables in graph6 or sparse6 format. Algebraic Combinatorics via Finite Group Actions Algebraic Combinatorics via Finite Group Actions- A hypertext by A. Betten, H. Fripertinger and A. Kerber. Encyclopedia of Combinatorial Structures Encyclopedia of Combinatorial Structures- Searchable database of structures with specifications and counts. Extremal Combinatorics Extremal Combinatorics- With Applications in Computer Science by Stasys Jukna. Topics in Mathematics - Combinatorics Topics in Mathematics - Combinatorics- In the Mathematics Archive at University of Tennessee, Knoxville. Enumeration of the Binary Trees Enumeration of the Binary Trees- A note on Catalan numbers by Ivan Galkin. ArXiv Front: CO Combinatorics ArXiv Front: CO Combinatorics- Combinatorics section of the Front for the Mathematics ArXiv. The Combinatorics Net The Combinatorics Net- Maintained by Bill Chen. JISCmail JISCmail- Mailing lists in mathematics and statistics for the UK academic community. MathOverflow MathOverflow- A forum to ask and answer research level mathematics questions. Yahoo Groups: Theory-edge Yahoo Groups: Theory-edge- Informal discussion of research in algorithmics, mathematics, and their applications. Yahoo Groups: Math For Fun Yahoo Groups: Math For Fun- Focuses on solving challenging math problems. Yahoo Groups : Erdos Yahoo Groups : Erdos- A group for proposing problems, sharing ideas, discussing areas of research and reviewing papers and books of interest. [Requires Yahoo! membership] Yahoo Groups : Maththeorists Yahoo Groups : Maththeorists- Discussions relating to number and mathematics philosophy. WebMath WebMath- A mailing list for those interested in mathematics on the World Wide Web. My Math Forum My Math Forum- Active forum for a better understanding of mathematics. Includes puzzles and riddles and some solved problems. Math is Fun Forum Math is Fun Forum- A discussion forum for K-12 math students and teachers, with a focus on learning and teaching math the fun way. Ars Mathematica Ars Mathematica- News and discussions on the mathematical arts. Math Help Forum Math Help Forum- A discussion forum for students and teachers of mathematics at school, college and advanced levels, including homework help for students. Math Forum: Public Discussions Math Forum: Public Discussions- Group topics include general math, education, geometry, software, calculus reform, research and recreations. Undernet Math Undernet Math- Topica email list serving the users of the IRC channel #math on the Undernet, for discussion and challenging puzzles. Javamath-discuss Javamath-discuss- A general mailing list for discussion about mathematical software development in Java. Maths-Education Maths-Education- Email forum for those working in mathematics education to share ideas and experiences, and request information. Iterations and the Mandelbrot Set Iterations and the Mandelbrot Set- Discusses how differently the iterations behave depending on which portions the coefficients are plucked from. Includes basics, concept, formula… The 3x+1 Fractal The 3x+1 Fractal- Abstract about paper that generalizes the Collatz problem to complex numbers. Wikipedia: Fractal Wikipedia: Fractal- Free encyclopedia article covering historical aspects and mathematical formulations. Includes two and three dimensional illustration sets.