 Fermat and His Method of Infinite Descent  Jamie Bailey, Brian Oberg
The basic method of the infinite descent is as follows: Assume one wants to prove no solution exists with a certain property. First, assume a positive integer, x, posseses such a property. Next, deduce that there exists some positive integer y < x
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 Fermat Computer Algebra System  Robert H. Lewis
Fermat is a computer algebra system that does graphing, and symbolic and numerical calculations. Fast and economical of space, the main version is oriented toward polynomial and matrix algebra over the rationals and finite fields; Smith normal form; polynomial
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 Fermat Project Description  Hanson, Kaplan, Heng; Center for Innovative Computer Applications (CICA)
Images, movies, videos, publications, presentations. An animation presents a popularized introduction to Fermat's Last Theorem. Threedimensional mathematical depictions are used in the beginning of the film to illustrate the meaning of the mathematical
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 Fermat's Last Theorem  BBC Online  Horizon
About Andrew Wiles and the solving of FLT  with a link to a long programme transcript.
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 Fermat's Last Theorem  David Shay
Site contents: The birth of the problem; Proofs for special cases; First steps in general proofs; The computer enters the picture; Is there a proof at all?; There are bigger problems; There are failures too; TaniyamaShimura conjecture; Here is the proof!;
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 Fermat's Last Theorem (FLT)  Math Forum, Ask Dr. Math FAQ
What is the current status of Fermat's Last Theorem?
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 Fermat's Last Theorem  MacTutor Math History Archives
Essay describing Fermat's theorem with links to mathematicians such as Sophie Germain, Legendre, Dirichlet, Shimura and Taniyama, etc., from its inception through Andrew Wiles' proof, with another web site and 17 references (books/articles).
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 Fermat's Last Theorem Poetry Challenge  Jeremy Teitelbaum
The proof of Fermat's last theorem by Andrew Wiles and Richard Taylor was presented to an audience of over 300 people during a tenday conference at Boston University in August, 1995. At that conference, Jeremy Teitelbaum issued a poetry challenge asking
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 Fermat's Last Theorem  Richard Pinch
Order a video that gives a brief history of the attempts that have been made to solve Fermat's theorem (said to have been his last), and outlines some of the problems that have been encountered along the way.
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 Fermat's Little Theorem  Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
A description with proof involving modular arithmetic, and related links.
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 Fermat's room  Javier Martín
Solve puzzles playing this Java math adventure game, also available in Spanish. Based on a film by the same name.
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 FermiEffect.com  Alice Caton
Links to biographies of Enrico Fermi and his granddaughters, computers and chaos theory, Fermi questions, and the Fermi paradox.
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 A Few Aspects of Cryptology  David Hamer
Read about cipher machines such as Enigma, Geheimschreiber, NEMA, SIGABA and others; visit the gallery showrooms of the Crypto Simulation Group (CSG), a group of historians and researchers in the field of cryptology; download sample simulators and published
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 The Feynman Lectures on Physics  California Institute of Technology
Free online edition of the book by Richard Feynman, Robert B. Leighton, and Matthew Sands, based on the Nobel Prize winner's lectures presented in the early 1960s at Caltech. Volume I mainly addresses mechanics, radiation, and heat; Volume II, electromagnetism
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 FFT Spectrum Analyser Demo applet  Iain Robin
A Java applet that demonstrates the use of the Fast Fourier Transform (FFT) to determine the frequency spectrum of a discrete signal (time series).
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 FFTW  Matteo Frigo and Steven G. Johnson
FFTW is a C subroutine library for computing the discrete Fourier transform (DFT) in one or more dimensions, of arbitrary input size, and of both real and complex data. Download FFTW; read about its features; subscribe to its mailing list for announcements.
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 Fibonacci at Random  Ivars Peterson  Science News Online
In a book completed in 1202, mathematician Leonardo of Pisa (also known as Fibonacci) posed the following problem: How many pairs of rabbits will be produced in a year, beginning with a single pair, if every month each pair bears a new pair that becomes
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 Fibonacci Numbers and Nature  Ron Knott
Fibonacci and his original problem about rabbits that gave the series its name; the family trees of bees; the golden ratio and the Fibonacci series; the Fibonacci Spiral and sea shell shapes; branching plants; flower petal and seedheads; and the leaf
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 The Fibonacci Numbers  David Schweizer; Math Department, College of the Holy Cross
A directory of material related to the Fibonacci numbers. Math material  the Fibonacci numbers' appearance in the Mandelbrot set; the first 500 Fibonacci numbers in blocks of 100; factorizations; Web resources.
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 The Fibonacci numbers  Ron Knott
The Fibonacci series; The first 100 Fibonacci numbers, completely factorised .. and, if you want more ... Fibonacci numbers 101300 and 301500 (not factorised).
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 Fibonacci Rabbit Sequence  Ron Knott
One way to look at Fibonacci's Rabbits problem gives an infinitely long sequence of 1s and 0s, the Fibonacci Rabbit sequence: 1 0 1 1 0 1 0 1 1 0 1 1 0 ..., also called the Golden string or Golden sequence since it is a close relative of the number Phi,
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 Fibonacci's Chinese Calendar  Ivars Peterson (MathTrek)
In a book completed in 1202, mathematician Leonardo of Pisa (Fibonacci) posed the problem: How many pairs of rabbits will be produced in a year, beginning with a single pair, if every month each pair bears a new pair that becomes productive from the second
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 The Fibonacci Series  Matt Anderson, Jeffrey Frazier, and Kris Popendorf; ThinkQuest 1999
The Fibonacci Series is deceptively simple, but its ramifications and applications are many. Learn more about the Fibonacci Series itself: an introduction, the rabbit problem, Binet's formula, the successor formula (given only one term in the Fibonacci
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 Field Extensions  Dave Rusin; The Mathematical Atlas
A short article designed to provide an introduction to field extensions. Mathematicians once spent time on a subject call the "Theory of equations," which was full of algorithms and the theory of polynomials and their roots. Nowadays this is the subject
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 Field Guide to Functions (Web Study Guide)  Oregon State University (OSU) Math Department
This field guide contains a quick look at the functions commonly encountered in single variable calculus, with exercises for each topic: linear, polynomial, power, rational, exponential, logarithmic, trigonometric, and piecewise functions. Also algebraic
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 A Field Guide to the Orbifolds (Geometry and the Imagination)  Conway, Doyle, Gilman, Thurston; The Geometry Center
Tongueincheek hints for learning how to classify the 17 types of symmetry patterns in the Euclidean plane. "...information presented in this section has been gleaned from a cryptic manuscript discovered among the personal papers of John Conway after
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 Field Theory and Polynomials  Dave Rusin; The Mathematical Atlas
A short article designed to provide an introduction to field theory and polynomials. Field theory looks at sets, such as the real number line, on which all the usual arithmetic properties hold, including, now, those of division. The study of multiple
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 The Fifth Taxicab Number is 48988659276962496  David W. Wilson
An article on the search for the smallest integer that can be expressed as a sum of two positive cubes in 5 distinct ways, up to order of summands. The nth taxicab number is the least number which can be expressed as a sum of two positive cubes in n distinct
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 Figshare
"Get credit for all your research" with Figshare, which allows researchers to publish their data in a citable, searchable and sharable manner. Figshare's creative commons licensing especially facilitates the sharing of null results, thereby avoiding publication
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 Filmer V2.0  A program for creating fractal animation  Julian Haight
Filmer is a frontend program for Fractint (for DOS/Windows) that generates fractal animations. Fractint is a program for calculating still fractal images (you need Fractint installed to use Filmer). Filmer uses Fractint parameter (.par) files to specify
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 Financial Calculators  Fair Isaac Corporation
Calculators to help you make decisions about borrowing money, debt pay off and savings; organized into mortgages, autos, loans, debit and credit cards, savings, personal finances, investments, and retirement planning. For example, use the loan savings
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 Financial Education  EverFi
Makers of interactive financial literacy learning and gaming platforms such as Vault, Everfi, and Buttonwood.
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 Financial Mathematics, Financial Engineering and Risk Management Workshop  FinMath.com @ Chicago
All about Mathematical Finance and Derivatives  new books, journals, seminars, conferences, workshops.
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 Financial Noise  Ivars Peterson (MathTrek)
The conventional view of stock markets and their behavior is that the price of a stock reflects all the information available on that stock. In this model, any variations in price would correspond to the arrival of new information. Some of that information
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 Finanzierungsrechner
Online calculation tools to perform financial calculations such as IRR, NPV, and annual interest rates.
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 finaquant® protos  Tunç Ali Kütükçüoglu
A .NET library that lets you configure function trees with tables as input and output parameters. This calculation engine performs forecasts and estimations based on historical data; causeeffect relationships and networks; data preparation for reporting;
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 FindGraph CurveFitting Software  Sergey Vasilyev, UNIPHIZ Lab
The program offers 10 generic fits, including Linear Regression, Logistic Functions, Fourier approximation, Neural Networks, plus a library of over 120 industryspecific formulas. Free trial version and retail version available. Windows only.
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 Finding the Center of a Circular Starting Line in an Ancient Greek Stadium  Rorres, Romano; SIAM Review
A 1997 essay by Chris Rorres and David Gilman Romano, which presents and compares two methods for finding the center and radius of a circular starting line of a racetrack in an ancient Greek stadium. Graphs and tables are included. Introduction, ThreePoints
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 Finding the Smallest Triangle  Jim Parks
A script for finding the triangle of minimum perimeter inscribed in a given triangle.
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 Finding the Value of Pi  Isaac Reed
Throughout the history of civilization various mathematicians have been concerned with discovering the value of and different expressions for the ratio of the circumference of a circle to its diameter.
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 Find OpenCourseWare with OCW Search  Pierre Far
An independent search engine that indexes all the course materials published freely online by universities that participate in the OpenCourseWare (OCW) initiative, including the Massachusetts Institute of Technology (MIT) and Stanford University. Search
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 Finite Canonical Commutation Relations  Bill Hammel
A working paper on finite canonical commutation relations (FCCR) nxn matrices as local kinematical replacement for CCR, and construction of REPS of CCR by pxp matrices over Galois fields. Contents include truncated creation and annihilation operators,
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 The Finite Element Circus  Richard S. Falk, Rutgers University
A regular conference devoted to the theory and applications of the finite element method, and related areas of numerical analysis and partial differential equations. Dates and locations, talks and poems, and a mailing list.
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 Finite Element Mesh Generation  Robert Schneiders
Mesh generation is an interdisciplinary area within numerical analysis that includes mathematicians, computer scientists, and engineers from many disciplines. This page is intended to build a bridge between theory and applications. People and research
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 Finite Mathematics & Applied Calculus Resource Page  Waner, Costenoble; Hofstra University
Online interactive tutorials  Algebra Review, Finite Mathematics, and Calculus  based on Finite Mathematics Applied to the Real World, Calculus Applied to the Real World, and Finite Mathematics and Calculus Applied to the Real World. Topic Summaries;
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 Finite Rank Torsion Free Modules Over Dedekind Domains  E. Lee Lady; University of Hawaii
A book that discusses abelian group theory as not just another variety of group theory but the study of modules over principal ideal domains, a highly specialized branch of commutative ring theory. Postscript and DVI versions. Chapters: Modules Over Commutative
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 Finnish Mathematical Society (SMY)
A society for mathematics professionals and students. Introduction and membership information. More information is available in Finnish.
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 FirefighterMath  Dan Jimenez, United States Department of Agriculture (USDA) Forest Service
This selfpaced math course refreshes firefighters' knowledge of basic math concepts and tools necessary for making math calculations in the field. Topics include calculating tank volumes and flow rates, determining pump pressure and friction loss, understanding
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 A First Course in Linear Algebra  Robert Beezer
A free, opensource textbook for introductory linear algebra. GFDL license. Includes a list of other opensource textbooks.
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 First Digits  Ivars Peterson (MathTrek)
Take a look at a newspaper page listing stock market prices. You might think that each of the numbers from 1 to 9 would occur equally often among the first digits of all the listed prices. Instead, however, you're very likely to find that numbers starting
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