Mathematics

Union of Czech Mathematicians and Physicists Union of Czech Mathematicians and Physicists- One of the oldest European societies in mathematics and physics. Austrian Mathematical Society Austrian Mathematical Society- The national mathematics society of Austria. Membership information and publications. Swiss Mathematical Society Swiss Mathematical Society- History of the group, affiliations, and publications. Operations Research by the Beach Operations Research by the Beach- Comments, ideas and analysis of real-life problems from the perspective of an operations researcher. TORSCHE Scheduling Toolbox for Matlab TORSCHE Scheduling Toolbox for Matlab- It performs various off-line and on-line scheduling. Global Optimization Global Optimization- Links to global optimization. Michael Trick’s Operations Research Blog Michael Trick’s Operations Research Blog- Thoughts, opinions, and pointers on the world of OR/MS. OR-Library OR-Library- A library of problem instances covering various OR/MS areas. Unsolved Problems in OR Unsolved Problems in OR- A good collection. Optimization and Operations Research Optimization and Operations Research- A list maintained by Henry Wolkowicz. Forecasting and Time Series on the Web Forecasting and Time Series on the Web- Includes a collection of publications links. Software Surveys Software Surveys- A collection of surveys of OR/MS software. WORMS WORMS- World-wide-web for OR/MS. Logistics: The WWW Virtual Library Logistics: The WWW Virtual Library- All the logistic links you ever need. A Collection of Modelling and Simulation Resources A Collection of Modelling and Simulation Resources- Annotated index. Principles of Forecasting Principles of Forecasting- Provides practical guide for forecasting. Global (and Local) Optimization Global (and Local) Optimization- Archive of information on global and local optimization. Decision Tree for Optimization Software Decision Tree for Optimization Software- Identify potential solution algorithms for your problems. Numerical Methods for PDEs with Java Applets Numerical Methods for PDEs with Java Applets- Distance learning course dealing with finite differences / elements, Monte-Carlo, Fourier and Lagrangian methods for the advection, d… Solve Equations by Successive Approximations Solve Equations by Successive Approximations- Approximation formulae to compute real and complex solutions of equations in a spreadsheet. Holistic Numerical Methods Institute Holistic Numerical Methods Institute- A collection of resources on numerical methods aimed at undergraduates, maintained at the University of South Florida. Foundations of Computational Mathematics (FoCM) Foundations of Computational Mathematics (FoCM)- A nonprofit organization that supports and promotes research on foundations of computational mathematics. Orthogonal Polynomials and Special Functions Orthogonal Polynomials and Special Functions- SIAM activity group. Newsletter, conferences, bibliography, reports, history, jobs, other resources. SQRT - Algorithms for Calculating the Square Root SQRT - Algorithms for Calculating the Square Root- Describing two major algorithms: one efficient in terms of size, the other in terms of speed. English/Portuguese. Newton's Method and High-order Iterations Newton's Method and High-order Iterations- Newton's iteration : History, convergence results, Halley's iteration and high order new iterations. A web text in HTML and PostScript. Domain Decomposition Organization Domain Decomposition Organization- Bergen, Norway. Information about the annual international Domain Decomposition meeting, links to people working in the field and information ab… Level Set and Fast Marching Methods: Level Set and Fast Marching Methods:- Tracking moving interfaces in computational geometry, materials sciences, robotics, image processing, and fluid mechanics; numerical techniqu… Tomasz Plewa's Numerical Analysis Directory Tomasz Plewa's Numerical Analysis Directory- Directory of sites containing software for numerical analysis (mainly in Fortran). Interval Computations Interval Computations- Indexes links relating to interval arithmetic and related issues. Numerical Methods Numerical Methods- A guide to on-line resources. Noncommutative Geometry, Trace Formulae and the Zeroes of the Riemann Zeta Function Noncommutative Geometry, Trace Formulae and the Zeroes of the Riemann Zeta Function- Lecture notes by Alain Connes. LMFDB LMFDB- A handbook including tables, formulas, links, and references for L-functions and the underlying objects. Transcendental Numbers Transcendental Numbers- Maple worksheets, lecture notes and links to other resources by John Cosgrove. Visible Structures in Number Theory Visible Structures in Number Theory- By Peter Borwein and Loki Jörgenson. Recognising number patterns visually. Some Number-Theoretical Constants Some Number-Theoretical Constants- Products of rational functions of p over primes, computed by Gerhard Niklasch and Pieter Moree. The On-Line Encyclopedia of Integer Sequences (OEIS) The On-Line Encyclopedia of Integer Sequences (OEIS)- Given an integer sequence, find its name, and formula. The Somos Sequence Site The Somos Sequence Site- Web resources for information on Somos sequences and related topics such as elliptic divisibility sequences. Active Elementary Number Theory Active Elementary Number Theory- Interactive (Javascript) expression of a number as a sum of two squares. Square-free Gaps Square-free Gaps- Algorithm and source code for the calculation of square-free numbers and gaps. An Introduction to the Theory of Numbers by Leo Moser An Introduction to the Theory of Numbers by Leo Moser- Textbook covering following topics: compositions and partitions; arithmetic functions; distribution of primes; irrational nu… A Mechanical Proof of Quadratic Reciprocity A Mechanical Proof of Quadratic Reciprocity- A paper by David M. Russinoff describing the use of the Boyer-Moore theorem prover in mechanically generating a proof of the Law of Qu… Klein Polyhedra Klein Polyhedra- Examples and algorithms for computing Klein polyhedra, also known as Arnold sails or veils (voiles), by Keith Briggs. Covers, Sumsets and Zero-sums Covers, Sumsets and Zero-sums- A unified approach to covering systems, restricted sumsets and zero-sum problems by Zhi-Wei Sun. Lehmer's Conjecture Lehmer's Conjecture- That the Mahler measure of an algebraic number is bounded away from 1. Pages by Michael Mossinghoff, UCLA. Frequently Asked Questions Frequently Asked Questions- Number Theory section of the sci.math FAQ list. Fermat's Little Theorem Fermat's Little Theorem- With notes on Carmichael numbers and the life of R.D. Carmichael. Some Highlights of Arithmetic Combinatorics Some Highlights of Arithmetic Combinatorics- Lecture notes and resources on combinatorial number theory by Terence Tao. Introduction to Bernoulli Numbers Introduction to Bernoulli Numbers- A web article with a brief history and account of their relationship with the Riemann zeta function and Fermat's Last Theorem (HTML/PS). Number Theory Number Theory- Proofs along with equation solvers and graphical views written in Java. Hakmem Continued Fractions Hakmem Continued Fractions- Some notes from the MIT collection. Includes Gosper's algorithms for CF arithmetic.