 Fractional Calculus
Introductory notes on Fractional Calculus.
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 Fractional Tree Calculator  Henryk Trappmann
Fractional trees are a new kind of number (extra to quaternions, octonions, nonstandard reals, Conway numbers, etc.), an algebraic generalization of fractional numbers. Experiment with this web application
to get a first impression.
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 Fractions, Cycles, and Time  Ivars Peterson (MathTrek)
In ancient times, people had to confront awkward numbers in astronomical contexts when they compared the motions of the sun and moon. The unfailing, daily passages of the sun across the sky and the corresponding movements of the stars at night represented
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 Fractured Theorems  Koetz, Matt; Lewis, Heather A.; and McKinzie, Mark
Humorously corrupted theorems, reimagined and redefined: Tschubby chefs theorem, Galoislapalooza theorem, Piano existence theorem, Seinfeld's completeness theorem, BanachStarsky and Hutch theorem, Girdle incompleteness theorem, Fig Newton method,
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 FracZoom Explorer, FracZoom Navigator  SoftOrange Interactive
FracZoom Explorer is a fractal program that lets you explore a 3D world to find a lost damsel, then examine fractals for yourself. FracZoom Navigator allows you to create films of your fractal zooms at very fast rates, plus up to 24bit fractal images.
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 Fragments of the Past  Ivars Peterson (MathLand)
Historians of mathematics now generally agree that scholars in China, India, and the Islamic world produced remarkably sophisticated mathematics between the fifth and the fifteenth centuries. However, most would probably still argue that Europeans in
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 Francophone Mathematics Resources  Gatwood/Peckham
An alphabetical list of links to math resources in French, including math departments, journals, centers and labs, libraries, etc. in both France and Canada. This list was created by David A. Gatwood from a list by Bob Peckham (TennesseeBob).
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 Frank Garvan
Frank Garvan is a mathematics professor at the University of Florida. His combinatorics research articles are available for download in PostScript and .dvi formats. A Maple package for qseries may also be downloaded. One may also find the syllabi
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 Franklin Institute Science Museum  Philadelphia, Pennsylvania
The online entry point for the Philadelphia science museum, featuring indepth multimedia virtual exhibits and explorations, resources for teachers, and guides to the reallife museum and its programs. The website features a large selection of educational
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 Frank's World: Math on Cable  Ivars Peterson (MathLand)
"Hi, you're live on Math Chat!" The question from the caller sounds pretty tough: "Three salesmen visit a shop. One comes every four days, another every five days, and the third every 10 days. If all of them were at the shop today, how long would you
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 Frattali  Isawi
Disegni a mano libera elaborati con Autocad e Photoshop per creare immagini di tipo frattali.
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 Freakonometrics  Arthur Charpentier
Blog by a Montreal professor of actuarial science "addicted to R." Posts, which date back to March, 2007, have included "Dynamic dependence ordering for Archimedean copulas and distorted copulas," "Pricing catastrophe options in incomplete markets," "Estimation
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 Freaky Links  Cut the Knot!, Alexander Bogomolny with William A. McWorter Jr.
Mathematics impinges on itself and the sciences in unexpected and bizarre ways. This page is a small illustration of this phenomenon, taking up recreational mathematics and the game of Chinese checkers, the strategy game called Hex, quasigroups, and block
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 Fred Rickey's Home Page  Fred Rickey, Department of Mathematical Sciences, United States Military Academy
Information about courses Rickey has taught about the history of mathematics. Historical notes for calculus teachers cover Torricelli's trumpet, Clepsydra, the history of the brachistochrone, the bridge and the catenary, Cauchy's famous wrong proof, and
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 Free College Algebra and Trigonometry Notes  Michael Sakowski
These notes are in PDF and MS Word form. For the algebra notes, you may edit the MS Word form to your liking and then print to a PDF file. The trigonometry notes are in PDF format only.
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 Free Complex Matrix and Vector classes  Abdon Pijpelink
Two C++ classes: implementations of a matrix and a vector of complex numbers. Free for everyone.
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 Free Doughnuts  Web Feats Workshop II
You have a piece of cardboard 24 by 15 inches. Your problem is to figure out how much to cut out of each corner to make the box with the biggest (maximum) volume. Use the applet to explore how changing the size of the cutout changes the box. This workshop
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 Freely Available Software for the Solution of Linear Algebra Problems  Jack Dongarra
Software for highperformance computers, available in source form for problems in numerical linear algebra, specifically dense, sparse direct and iterative systems and sparse iterative eigenvalue problems.
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 Free Mathematics Books  FreeTechBooks.com
Links to free mathematics books and lecture notes. Mostly in PDF and Postscript format.
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 freemathtexts.org  Alain Schremmer
Original texts that emphasize a very few but very powerful ideas; appeal to common sense and make no assumption of any kind about the students; and focus on helping readers convince themselves about mathematics. Written for use in developmental mathematics
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 Free Online Books  PSPXWorld.com
Free books for download or viewing online, in computer science and mathematics.
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 FreeScience.info  Claudio Attaccalite
Mathematics section of a site providing free scientific books, mostly in PDF format.
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 Free Software which You Can Download  Will Naylor
Download WNLIB, an ANSCIIC subroutine library which includes numerical routines, data structures, random number generators, and more.
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 Frequently Asked Questions in Business Statistics  Jian Chen
Why should I study business statistics? Why is an average calculated? Why is a standard deviation calculated? Why are histograms calculated? Why are we concerned with samples and sampling in data analysis? Why calculate a correlation coefficient? Why
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 Frequently Asked Questions in Management Science or Operations Research  Jian Chen
Why should I study Management Science or Operations Research? Why should a business decision maker study Decision Theory? What is Bayesian Decision Theory? Why study Linear Programming? Why study Queuing Theory? What is computer simulation? What is Inventory
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 Frequently Asked Questions in Mathematics  Alex LópezOrtiz and the Sci.Math FAQ Team
The sci.math FAQ. Nontrivial mathematical trivia from the newsgroup sci.math: a compilation of math history and knowledge of interest to most professional and amateur mathematicians, ranging from advanced topics such as Wiles' proposed proof to Fermat's
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 Friedman Numbers  Erich Friedman
A Friedman number is a number that can be written in some nontrivial way using its digits, the operations +  * / ^ and concatenation of digits. For example, 25 and 126 are Friedman numbers, since 25 = 5^2, and 126 = 6 * 21. Page includes a list of all
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 FRISCO  A Framework for Integrated Symbolic/Numeric Computation  The Numerical Algorithms Group Ltd, Oxford UK
A threeyear project funded by the European Commission under the Esprit Reactive LTR Scheme, its aim to develop highly efficient, versatile polynomial solvers for industrial users. Much of the software produced during the project is available for download,
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 Fritz Dooley's Mancala Center  Fritz Dooley
Game theory analysis of the board game Mancala, written as a research paper for Harvard Business School.
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 From Chaos: Beauty  Kitara
Fractal galleries created using UltraFractal.
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 From Constructivism to Active Learning  Siegfried M. Holzer
Summary of an essay defining constructivism and outlining its implications for education: active learning, authentic activities, students' views, authentic assessment, and innovative curriculum. Published in the hypermedia publication of SUCCEED: The
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 From Counting to Writing  Ivars Peterson (MathLand)
Abstract numbers are the product of a long cultural evolution. They also apparently played a crucial role in the development of writing in the Middle East. Indeed, numbers came before letters, contends archaeologist Denise SchmandtBesserat of the University
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 From Linear to Nonlinear Optimization: The Missing Chapter  Prof. Hossein Arsham; University of Baltimore
This presentation in the form of a research paper provides a general solution algorithm for a large class of problems with linear constraints and a continuous objective function. A hypertext companion site for Applied Management Science: Making Good Decisions.
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 From Now On
A Monthly Electronic Commentary on Educational Technology Issues. Previous issues archived by theme and date; since 1991.
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 From Number to Formula  Ivars Peterson (MathLand)
Given the number 1.6180339887, how can you find out whether this particular number is special in some way, as the output of a specific formula or the value of a familiar mathematical function? Do you have a favorite number: Pi, the golden ratio, e (Napier's
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 From Polychords to Polya: Adventures in Musical Combinatorics  Mike Keith
A book that explores the various connections between the basic musical building blocks  chords, scales, and rhythms  and the area of mathematics known as combinatorics, which is concerned with counting and classifying configurations of objects. Questions
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 From Starting Line to Ancient Angle  Ivars Peterson (MathTrek)
The ruins of ancient Corinth include a stadium that featured several courses for foot races. In 1980, archaeologists found and excavated the curved starting line for one such racecourse, dating from about 500 B.C. Curved to allow a staggered start, the
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 Front for the Mathematics ArXiv  Univ. of California, Davis
U.C. Davis front end for the xxx.lanl.gov ePrint archive, a major site for mathematics preprints that has incorporated many formerly independent specialist archives including alggeom, functan, dgga, qalg, autofms, cdhg, MAGNUS, Several Complex
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 FroZenLight  Zoltan Palmer
Interrelating line arts, mathematics, and cryptography, this free Java application simulates experiments in classic optics. Use FroZenLight to see how beaming a light ray onto circular mirrors would produce reflection patterns ranging from the symmetric
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 Frustration Solitaire  Doyle, Grinstead, Snell
A paper on the rankderangement problem, which asks for the number of permutations of a deck of cards such that each card is replaced by a card of a different rank, and which arises when computing the probability of winning the game of 'frustration solitaire'.
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 FullText Electronic Journals  TriUniversity Group of Libraries, Ontario, Canada
A collection useful for browsing the contents of a particular journal and for locating a specific article given the article citation (article title, author, journal title, volume, date published). (You cannot search by subject, so if you do not have
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 Fun and Games in Nevada  Ivars Peterson (Mathland)
...in the hotel's casino, the sights and sounds were... the glare of neon lights, the jangle of coins erupting from slot machines, the clink of chips at blackjack tables, and the mutter of avid gamblers testing their luck. It was the middle of April,
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 Functional Analysis  Dave Rusin; The Mathematical Atlas
A short article designed to provide an introduction to functional analysis, which views the big picture in differential equations, for example, thinking of a
differential operator as a linear map on a large set of functions. Thus this area becomes the
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 A Functional Housing Market  Susan Boone
Students use the Internet to search for housing prices in Houston, Texas, (the location can be changed to accommodate any location) and compare the prices to the number of square feet found in the living area of a house. A linear equation is derived from
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 Function Basics  David Eger; Interactive Mathematics Online (IMO)
Functions are mathematical ideas that take one or more variables and produce a variable. In an abstract mathematical sense, a function is a mapping of some domain onto some range. For each item in the domain, there is a corresponding item in the range
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 Functions of a Complex Variable  Dave Rusin; The Mathematical Atlas
A short article designed to provide an introduction to complex variables, studying the effect of assuming differentiability of functions defined on complex
numbers. The effect is markedly different than for real functions; these functions are much more
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 Function Squashing  David Eger; Interactive Mathematics Online (IMO)
Exploring things you can do with periodic functions like sine and cosine; translation, and vertical and horizontal scaling.
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 Functor  Jordan Touzsouzov  Mordred
Math software for the graphical analysis and display of one and twoargument functions z = f(x, y), using OpenGL. A beta version is available for Win95/98 and WinNT.
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 Fundamentals of Geometry  Oleg A. Belyaev
A work in progress to create a free online book on geometryfrom exposition of elementary absolute geometry based on Hilbert's axioms to more advanced topics. The site contains a current draft of the book. This text is also intended to provide math background
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 The Fundamental Theorem of Algebra  B. Fine, Fairfield Univ., CT; G. Rosenberger, Univ. of Dortmund, Germany
The Fundamental Theorem of Algebra states that any complex polynomial must have a complex root. This basic result, whose first accepted proof was given by Gauss, lies at the intersection of the theory of numbers and the theory of equations, and arises
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