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Links that lead to off-site pages about math.

• Active Math
• Bayesian Probability
• Calculators
• Fibonacci Numbers
• Knot Theory
• Number Spirals
• Prime Numbers
• Wikipedia on Math
• Random Numbers
• Miscellany

Active Math

Math with Java applets, flash, animation, etc.

• Cut-The-Knot.org. "Interactive Mathematics Miscellany and Puzzles".
• Dynamical-Systems.org
• Euclid's Elements.
• Mathematik.com

Bayesian Probability

• An Intuitive Explanation of Bayesian Reasoning
• Wikipedia.org/wiki/Bayesian. 'Bayesianism is the philosophical tenet that the mathematical theory of probability applies to the degree of plausibility of statements, or to the degree of belief of rational agents in the truth of statements; when used with Bayes theorem, it then becomes Bayesian inference. This is in contrast to frequentism, which rejects degree-of-belief interpretations of mathematical probability, and assigns probabilities only to random events according to their relative frequencies of occurrence. The Bayesian interpretation of probability allows probabilities assigned to random events, but also allows the assignment of probabilities to any other kind of statement. Whereas a frequentist and a Bayesian might both assign probability 1/2 to the event of getting a head when a coin is tossed, only a Bayesian might assign probability 1/1000 to personal belief in the proposition that there was life on Mars a billion years ago, without intending to assert anything about any relative frequency.'

Calculators

• A Quick-Start Guide to Common Calculators [Geocities.com/calculatorhelp]. Wonderful.
• Calculators On-Line Center [www-sci.lib.uci.edu/HSG/RefCalculators.html]. Many calculators for different fields.
• CalculatorSource.com. An avenue for getting almost any kind of calculator, getting old calculator manuals, etc.
• Calculator.com. All sorts of online calculators.
• Calculation & Conversion Tools Reference [IPL.org.ar/ref/RR/static/ref1300.html]. 'Websites that assist with mathematical calculations, including online calculators and conversion dictionaries and tables.'
• EngineersEdge.com/Calulators_Online.shtml. More than just conversions too!
• Google has calculator & conversion stuff immediately availble.
• HPCalc.org. Info about the beloved HP calculators and that wacky RPN.
• HPMuseum.org. Museum of HP Calculators. As far back as slide rules.
• MegaConverter.com. Conversion between units of measurement. Also includes on-line scientific calculator.
• OnlineConversion.com.
  • Clothing Conversions
• Reverse Polish Notation Calculator [main.linuxfocus.org/~guido/javascript/rpnjcalc.html]
• Rolf's Scientific Calculator online [SquareBox.co.uk/desktop/scalc.html]

Fibonacci Numbers

Fibonacci numbers, the Golden section and the Golden string. The Fibonacci series, discovered by Leonardo Fibonacci in 1202, is where each number is the sum of the preceding 2 numbers: 0, 1, 1, 2, 3, 5, 8, 13, .... The neat thing is that the Fibonacci series is related to the Golden section, the Golden string, and occurs in nature. EG: Nautilus shells and cauliflowers.

• http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/fib.html. By Ron Knott.
• http://library.thinkquest.org/27890/mainIndex.html
• http://www.textism.com/bucket/fib.html. With a nice flash animation.
• http://www.goldenmeangauge.co.uk/fibonacci.htm
• http://goldennumber.net/fibonser.htm

Knot Theory

• http://www.cs.ubc.ca/nest/imager/contributions/scharein/knot-theory/knot-theory.html
• http://www.cs.ubc.ca/nest/imager/contributions/scharein/KnotPlot.html

Number Spirals

• Imathination.net. By Dick Boland.
• NumberSpiral.com. By Robert Sacks.

Prime Numbers

• http://www.utm.edu/research/primes/. The Prime Pages by Chris Caldwell.
• http://www.geocities.com/~harveyh/moreprimes.htm. More Prime Patterns by Harvey Heinz.
• http://www.geocities.com/dhvanderstraten/ulamtxt.html. Ulam's Spirals: Towards an Explanation by Didier van der Straten.
• http://www.troubleshooters.com/codecorn/primenumbers/primenumbers.htm. "Fun With Prime Numbers"

Wikipedia on Math

Math, Areas of mathematics, and List of lists of mathematical topics. Help:Formula. For entering formulas in Wiki articles.

• Algebra
• Algebra of sets
• Benford's_law
• Euclidean plane isometry. Translations, Rotations, Reflections, and Glide Reflections. This is in essence a truth table of whether an isometry has some combination of preserving hands and has a fixed point.
• Number
  • List_of_numbers
  • 0 (number); Nothing; Empty set; Null; Null (SQL); 
  • Infinity
• Dimensionless number. Dimensionless numbers like Mach are more about physics than math.
• Logic. See also my section on Logic.
• Mathematical constant
• Metasyntactic variable
• Table of mathematical symbols
• Orders of magnitude (numbers)
• Preferred number
• Statistics
  • Probability distribution

Random Number

Random numbers are quite convenient especially in encryption and security.

• random.org
• randomizer.org

Miscellany

• ClayMath.org. 'Dedicated to increasing and disseminating mathematical knowledge '
• Eric Weisstein's World of Mathematics.
• Erik Max Francis Homepage. Includes his "Orders of Magnitude" and "The Laws List".
• Ethnomath.org
  • 'The Ethnomathematics Digital Library (EDL) ...  is a resource network and interactive learning community for ethnomathematics, with emphasis on the indigenous mathematics of the Pacific region.'
  • Although we often view mathematics as objective, our view on mathematics is also inevitably colored by our culture.
• History of Math.
• "How Many Fundamental Constants Are There?" [math.ucr.edu/home/baez/constants.html]
• io.com/~iareth/bignum.html 
• Jim Loy's Mathematics Page [JimLoy.com/math/math.htm]
• Levitated.net. For those with a mathematical appreciation.
• MacTutor History of Mathematics archive.
  • Biographies
  • Famous Curves
  • Quotations
• Math.About.com
• Math.com. 'dedicated to providing revolutionary ways for students, parents, teachers, and everyone to learn math.'
  • Calculators & Tools
  • Math Reference Tables
• Mathematical Constans and Interesting Numbers [mathres.kevius.com/constans.html]
• Mathematical Quotations Server.
• MathForum.org
  • 'The Math Forum [at Drexel University] is a leading center for mathematics and mathematics education on the Internet. The Math Forum's mission is to provide resources, materials, activities, person-to-person interactions, and educational products and services that enrich and support teaching and learning in an increasingly technological world.'
  • Classic Problems from the Dr. Math Archives
• MathSci.appstate.edu/~sjg/simpsonsmath/. Math via The Simpsons.
• MathSoft.com.
• Oliver Byrne's edition of Euclid
  • 'An unusual and attractive edition of Euclid was published in 1847 in England, edited by an otherwise unknown mathematician named Oliver Byrne. It covers the first 6 books of Euclid, which range through most of elementary plane geometry and the theory of proportions. What distinguishes Byrne's edition is that he attempts to present Euclid's proofs in terms of pictures, using as little text - and in particular as few labels - as possible. What makes the book especially striking is his use of colour.'
  • Beautiful.
• PlanetMath.org. 'PlanetMath is a virtual community which aims to help make mathematical knowledge more accessible. PlanetMath's content is created collaboratively: the main feature is the mathematics encyclopedia with entries written and reviewed by members. '
• Research.att.com/~njas/sequences/Seis.html. 'On-Line Encyclopedia of Integer Sequences ... The main purpose is to allow mathematicians or other scientists to find out if some sequence that turns up in their research has ever been seen before.'
• Superliminal.com. Math candy.
• Tesselations.org.
• The Geometry Center [geom.uiuc.edu]. The old University of Minnesota [umn.edu] site now archived at the University of Illinois.
• The History of Probability - Excel Version.
• Vampire Population Ecology. A fun little link that uses math to determine the theoretical number of vampires in Sunnydale.
• Webster.com/mw/table/number.htm
• What's Special About This Number?

2007-10-23 23:43:12Z