Links to Math Stuff

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Contra Costa College

MATHEMATICS DEPARTMENT

LINKS TO SOME INTERESTING MATHEMATICS STUFF

To use Google's built-in calculator function, simply enter the calculation you'd like done into the search box and hit the Enter key or click on the Google Search button. The calculator can solve math problems involving basic arithmetic, more complicated math, units of measure and conversions, and physical constants.

Try one of the sample expressions
to the right, or refer to Google's
complete instructions for help in
building your own expression.

60 miles per hour in feet per second

10 choose 3

8.25% of 17.50

half a cup in teaspoons

160 pounds * 4000 feet in Calories

example:

         (Also, check out Google's Dictionary)
         Google™ search engine
         "GOOGLE" is a trademark of Google Inc.

WOLFRAM RESEARCH - MATHEMATICA - ONLINE INTEGRATOR

Integration Possibilities: www.integrals.com

The Integrator uses webMathematica technology to bring the computational capabilites of Mathematica to the web.

WOLFRAM RESEARCH - THE WOLFRAM FUNCTIONS SITE
FUNCTIONS http://functions.wolfram.com/
This site is changing and growing daily.
Contains the world's most encyclopedic collection of information about mathematical functions.

WOLFRAM DEMONSTRATIONS PROJECT

http://demonstrations.wolfram.com/

What is a Demonstration?
A Demonstration is an interactive visualization of a concept. Demonstrations can be about any topic. As you move a
Demonstration's controls, you see a change in its output that helps you understand the concept being demonstrated.
All Demonstrations run freely on any standard Windows, Mac, Unix, or Linux computer.
Demonstrations, and their code, are provided free of charge and run on any computer with Mathematica
(Version 6 or higher) or the free Mathematica Player, which can be downloaded from this site.

WOLFRAM RESEARCH - MATHWORLD

http://mathworld.wolfram.com/

MathWorld^TM is the web's most complete mathematical resource,
assembled over more than a decade by internet encyclopedist Eric W. Weisstein
with assistance from the mathematics and internet communities.

FINANCIAL CALCULATORS/FORMULAS

Engineering Fundamentals/Financial Calculators
http://www.efunda.com/formulae/finance/loan_calculator.cfm
Find the Monthly Payment, Interest Rate, or Number of Payments.
TimeValue Software - TimeValue.com
    http://www.timevalue.com/Tools.aspx?CALCULATORID=HF07&TEMPLATE_ID=www.timevalue.com_2
     Answers the question "How much will I save by increasing my mortgage payment?"
Interest.com - Mortgage Calculators
http://www.interest.com/content/calculators/monthly-payment.asp
You can insert “Extra Payments” to see the effect on the payoff of the loan.

ENGINEERING FUNDAMENTALS WEBSITE - efunda
eFunda stands for engineering Fundamentals.
Its mission is to create an online destination for the engineering community, where working professionals
can quickly find concise and reliable information to meet the majority of their daily reference needs.

Engineering Fundamentals/Cool Calculators
http://www.efunda.com/calculator.cfm
Financial, Engineering, Mechanics, Mathematics Calculators
Engineering Fundamentals/Mathematics Home
    http://www.efunda.com/math/math_home/math.cfm
     Fundamental Mathematics
Engineering Fundamentals/webMathematica enabled calculators
http://www.efunda.com/webM/home/webM_home.cfm
Calculators and Plotters on the Web, specific to mathematical topics.
Engineering Fundamentals/Formulas
http://www.efunda.com/formulae/formula_index.cfm
Engineering and Physics Formulae.
Engineering Fundamentals/Units & Conversions
http://www.efunda.com/units/
Units, Constants and Conversions.
Engineering Fundamentals/Constants
http://www.efunda.com/units/show_constants.cfm?Mode=list
Listing All Constants - Avogadro constant 6.022142x10²³/mol, etc.

WikipediA

Mathematics Resources on
Wikipedia, The Free Encyclopedia
Portal:Mathematics http://en.wikipedia.org/wiki/Portal:Mathematics
Portals are pages intended to serve as "Main Pages" for specific topics or areas.
They are useful entry-points to Wikipedia content.
Portal:Mathematics contains hundreds of categories and thousands of articles.
It is one of the featured portals to Wikipedia that are regarded as being
particularly useful, attractive, and well-maintained.

    http://en.wikipedia.org/wiki/List_of_mathematics_categories
  This list contains hundreds of categories related to mathematics .

  Wikipedia is written collaboratively by volunteers from all around
  the world. Anyone with internet access can make changes to
  Wikipedia articles. As with any community-built reference, there is
  a possibility for error in Wikipedia's content — please read their
  disclaimers for more information and check your facts against
  multiple sources.

DIVISIBILITY RULES
From Wikipedia, the free encyclopedia
http://en.wikipedia.org/wiki/Divisibility_rule

Does 2 divide 2310? (yes) does 3? (yes)
does 4? (no) does 5? (yes) does 6? (no) does 7? (yes) does 8? (no) does 9? (no) does 10? (yes)
Find the rules for these divisors and more to let you decide without a calculator - click the link to the left.

Mathematics Resources on the Internet
Mathematics Links (Starting Points) http://mathres.kevius.com/
by Bruno Kevius

Math Reference Tables on the Internet
Math2.Org (Formerly "Dave's Math Tables") http://www.Math2.Org
by David Manura

YAHOO DIRECTORY - MATHEMATICS
Categories and Links to Sites

http://dir.yahoo.com/Science/Mathematics/

WOLFRAM RESEARCH - MATHWORLD
PRIME NUMBERS http://mathworld.wolfram.com/PrimeNumber.html
Eric W. Weisstein. "Prime Number." From MathWorld--A Wolfram Web Resource.

WOLFRAM RESEARCH - MATHWORLD
All About Primes http://mathworld.wolfram.com/topics/PrimeNumbers.html

UNIVERSITY OF TENNESSEE AT MARTIN - RESEARCH
Prime Number Research Prime Array

http://www.utm.edu/research/primes/

Get ready to go to The Nth Prime Page
A prime page by Andrew Booker

What is the Nth prime?

Here's how it works: Enter a value for n below, from 1 to 10¹², inclusive. The server will return the nth prime number (counting 2 as the first). Commas and scientific notation (e.g. 1.0e12) are allowed. For example, entering either 1,000,000,000,000 or 1.0e12 will tell you '

The
1,000,000,000,000th prime is 29,996,224,275,833.

' Depending on the load of the server and the number you pick, your query may take up to 10 seconds.

UNIVERSITY OF TENNESSEE AT MARTIN - RESEARCH:PRIMES © Chris Caldwell
http://primes.utm.edu/nthprime/index.php

10^9,999,999
Great Internet Mersenne Prime Search - GIMPS
The number 10^9,999,999 is the smallest 10 million digit number.

On August 23, 2008, a UCLA computer in the GIMPS PrimeNet network discovered the 45th known (at that time) Mersenne prime number,
2^43,112,609 - 1,
a mammoth 12,978,189 digit number (almost 13 million digits!)
The prime number qualifies for the Electronic Frontier Foundation's $100,000 award for discovery of the
first 10 million digit (or more) prime number.
The Great Internet Mersenne Prime Search (GIMPS), founded in 1996, is a distributed computing project dedicated
to finding Mersenne primes. Their website is www.mersenne.org/ .
In 1999 the first Mersenne prime number with over 1 million digits was found.
In 2008 two Mersenne primes, with over 10 million digits, were found.
The largest prime number found to date is the one cited above, M_43112609 = 2^43,112,609 - 1.
This number starts with the digits 316 and ends with 511. A link to a listing of this number, 316...511, in text form (16.3 megabytes),
is M_43112609

Mersenne Prime, M_43112609 = 2^43,112,609 - 1 (12,978,189 digits)
See also: contracosta.edu/math/PowersOfTen.html

MATH FORUM @ DREXEL
PASCAL'S TRIANGLE TetraPascal

http://mathforum.org/dr.math/faq/faq.pascal.triangle.html

See also, http://mathworld.wolfram.com/PascalsTriangle.html

Pascal's Triangle (Binomial Coefficients) Display
contracosta.edu/math/PascalsTriangle.html

Centre for Experimental & Constructive Mathematics
Simon Fraser University, Canada
PASCAL'S TRIANGLE http://oldweb.cecm.sfu.ca/cgi-bin/organics/pascalform

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WOLFRAM RESEARCH - MATHWORLD
3D GRAPHICS ICOSAHEDRON

http://mathworld.wolfram.com/topics/LiveGraphics3DApplets.html

MATLAB CENTRAL

www.mathworks.com/matlabcentral/index.shtml?linktous
MatLab is a computer program for doing numerical computation and technical computing and is available commercially from The MathWorks, Inc., Natick, MA

         CONTRA COSTA COLLEGE - MATH DEPARTMENT
         MATLAB PRIMER / TUTORIAL
         © Thomas M. Green
         http://www.contracosta.edu/math/prelmatlab.htm

Matlab ScreenSaver MATLAB_SCREEN_SAVER

www.mathworks.com/matlabcentral/screensaver.shtml

ORACLE ThinkQuest Library:Index : Math [Links to Numerous WebSites]

http://www.thinkquest.org/library/cat_show.html?cat_id=9

MATHEMATICAL ASSOCIATION OF AMERICA

http://www.maa.org/news/columns.html

MathDL: The MAA Mathematical Sciences Digital Library
MathDL Logo

http://www.mathdl.org
MathDL is an online resource published by the Mathematical Association of America.
The site provides online resources for both teachers and students of mathematics.
Currently the Library is composed of the following:

The Journal of Online Mathematics and its Applications (JOMA)
http://mathdl.org/mathDL/4/
Digital Classroom Resources (DCR)
    http://mathdl.org/mathDL/3/
    The Digital Classroom Resources (DCR) provides a select collection of free online learning materials
    which are available through the site.
    Osslets (open source, sharable mathlets) are free and flexible interactive components
    and curriculum materials you can easily add to your Web pages.
    These materials have been classroom tested and peer reviewed.
Convergence (Online magazine for the history of mathematics)
http://convergence.mathdl.org/convergence/1/

Mathematics on the Web
American Mathematical Society

http://e-math.ams.org/mathweb

World O f
Numbers

Patrick D e Geest
- Belgium

         Rich source of number facts involving palindromes : Prime Palindromes, Figurate Number Palindromes and more.
             - with many references and links to other sources.       Ex. palindrome: 1234321 (and a perfect square 1111² )
           http://www.worldofnumbers.com/index.html

Mathproblems.info
By Michael Shackleford, A.S.A.
Wizard of Odds

http://www.mathproblems.info/

Hundreds of math puzzles and answers.
Problems ranging from basic math to differential equations.
Each problem also comes with a difficulty rating from one
to four stars.

Also, a link to a few Math Humor problems - sample to the right.

Answers.com
Search Our Library

http://www.answers.com/library/Math%20BoW
A glossary of mathematics terms with helpful links and diagrams.

wikiAnswers
Q&A the wiki way - MATH

http://www.wiki.answers.com/Q/FAQ/2316
You can ask or help answer questions the wiki way.

Hosted on SunSITE, University of Tennessee, Knoxville.
Topics in Mathematics math archives logo

http://archives.math.utk.edu/topics/index.html U. Tenn. logo

In these pages, you will find links to various WWW resources on Mathematics. They are organized by topics.
See also, http://archives.math.utk.edu/popmath.html
POPMathematics: An eclectic collection of links to Mathematical Topics found on WWW.

FUNCTIONS GRAPHER (PLANE) Math Dept. University of Rhode Island		A cubic function and its derivative.
	http://www.math.uri.edu/~bkaskosz/flashmo/fungraph/
3D FUNCTION GRAPHER (SPACE) Copyright 2004 Barbara Kaskosz	http://www.math.uri.edu/~bkaskosz/flashmo/graph3d/
http://www.math.uri.edu/~bkaskosz/ Barbara's Interesting Homepage

ONLINE FUNCTION PLOTTER
Franz Embacher, Petra Oberhuemer
University of Vienna
http://www.univie.ac.at/future.media/moe/fplotter/fplotter.html http://www.univie.ac.at/future.media/moe/

maths online
A Gallery of Multimedia
Learning Material

CUT-THE-KNOT
Copyright © 1996-2009 Alexander Bogomolny
A Math Glossary in Context Knot

http://www.cut-the-knot.org/glossary/atop.shtml
Also, more links to Math Stuff: http://www.cut-the-knot.org/collection.shtml

MATH FORUM @ DREXEL Internet Mathematics Library Math Forum Logo

http://mathforum.org/library/

IES International Eduction Software
Manipula Math with Java -- over one hundred graphical JAVA applets
that demonstrate mathematical concepts (elementary to calculus).
Pythagoras

http://www.ies.co.jp/math/java/

¤§ MATHEMATICS GALLERY §¤

http://www.contracosta.edu/math/GreatPics.htm

AT&T RESEARCH - MATHEMATICS: INTEGER SEQUENCES
To look up a number sequence in the On-Line Encyclopedia of Integer Sequences,
enter it here and click "Submit": For more help on searching for sequences click below:

http://www.research.att.com/~njas/sequences/index.html

PLUS MAGAZINE Internet Mathematics MAGAZINE
PLUS Logo

http://www.pass.maths.org.uk/index.html

Millennium Mathematics Project Interact with MATHS
nrich Logo

http://www.nrich.maths.org.uk/public/index.php

Talk about big! 1 googol = 1.0 × 10¹⁰⁰
Want to see a googol?

What about 10^9^8^7^6^5^4^3^2^1^0 ?
Click here to put it in perspective:
Frank Pilhofer

http://www.fpx.de/fp/Fun/Googolplex/

What about the googolhedron ?
More GOOGOL Links:
     http://aaoj.info/googol.html(site owned by Bob Frybarger)
     http://mathworld.wolfram.com/Googol.html (Eric W. Weisstein et al. "Googol."
    From MathWorld--A Wolfram Web Resource.)
     http://www.google.com/search?hl=en&q=googol&btnG=Google+Search Use Google to search for Googol!

                 CENTILLION = 10³⁰³
                 Educational site, which can name any numbers put into it (up to centillion).
                 mathcats.com

                 Powers of Ten - Large Numbers
                 E-notation, Decimal, Prefix names, Symbol
                 Avogadro's Constant, Dimensions of Observable Universe
                 contracosta.edu/math/PowersOfTen.html

p
3.1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679 ...

Centre for Experimental & Constructive Mathematics
Simon Fraser University, Canada
The Pi Pages http://oldweb.cecm.sfu.ca/pi/index.html

See also:
Pi and the Fibonacci Numbers
Ron Knott's Surrey University multimedia web site on the Fibonacci numbers.
Hosted by the Department of Mathematics of Surrey University in Guildford, UK
http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/fibpi.html
See also:
The Joy Of Pi
by David Blatner
http://www.joyofpi.com/index.html

Pentagonal Geometry and the Golden Ratio
David Eppstein,Computer Science Department University of California, Irvine
Golden Sprial

http://www.ics.uci.edu/~eppstein/junkyard/pent.html

Museum of Harmony and Golden Section
Authored by Alexey Stakhov and Anna Sluchenkova
Afrodita

http://www.goldenmuseum.com/

CONTRA COSTA COLLEGE - MATH DEPARTMENT
THE PENTAGRAM AND THE GOLDEN RATIO

Fibonacci Numbers and the Golden Section
This is the Home page for Ron Knott's Surrey University multimedia web site on the Fibonacci numbers, the Golden section and the Golden string.
Hosted by the Department of Mathematics of Surrey University in Guildford, UK
http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/fib.html

The MacTutor
History of Mathematics Archive
Created by
John J O'Connor and Edmund F Robertson,
St Andrews University, Scotland
http://www-history.mcs.st-andrews.ac.uk/history/index.html

Polar equation: r = b + 2a cos(ø)

This site includes:

Biographies Index
History Topics Index
Famous curves index
and more.

CONTRA COSTA COLLEGE - MATH DEPARTMENT
KONIGSBERG BRIDGES PROBLEM Konigsberg's Bridges

This animation shows a hinged geometric dissection
by which an equilateral triangle is turned into a square.
This dissection was discovered by Henry E. Dudeney in 1902.

http://www.geocities.com/ann-s-thesia/kaleidoheadache.html Kalidoscope

CONTRA COSTA COLLEGE - MATH DEPARTMENT
SOME "NOT SO FAMILIAR" PYTHAGOREAN IMPLICATIONS

The Geometry Center,
University of Minnesota
http://www.geom.uiuc.edu/ http://www.geom.uiuc.edu/java/
and Science U,
Copyright © Geometry Technologies
http://www.scienceu.com/geometry/

"Dodecafoam and Substitution Tilings"
C Goodman-Strauss, Computers and Graphics 23 (1999) 917-924. www.comp.uark.edu/~strauss/papers/

Stella: Polyhedron Navigator
Computer programs which let you create
and view polyhedra on the screen, then
print out the nets required to build
your own models out of paper.
Copyright © 2001-2004, Robert Webb.
http://home.aanet.com.au/robertw/Stella.html

THE 5 PLATONIC SOLIDS:
The Platonic solids are the five convex regular polyhedra. Each one has identical regular faces, and identical regular vertex figures.

Tetrahedron, with 4 triangular faces
Cube (Hexahedron), with 6 square faces
Octahedron (Octohedron), with 8 triangular faces
Dodecahedron, with 12 pentagonal faces
Icosahedron, with 20 triangular faces

The Platonic solids have some rather interesting dual relationships. To make the dual of a solid, place a vertex in the center of each of the solid's faces. Then connect each vertex to the vertices on the adjacent faces. For the Platonic solids, the result is another Platonic solid.
http://www.vb-helper.com/tutorial_platonic_solids.html
Observe that if {p, q} is a possible solid, then so is {q, p}. (for more info., click below) © 1998 John Baez
http://www.georgehart.com/virtual-polyhedra/platonic-info.html

Art of Problem Solving List of Mathematics Competitions Around the World.

http://www.artofproblemsolving.com/Wiki/index.php/List_of_mathematics_competitions

Art of Problem Solving Internet Guide - Links to Mathematics Websites.

http://www.artofproblemsolving.com/Resources/AoPS_R_Websites.php

UNITCONVERSION.ORG

http://www.unitconversion.org/

Common converters
Distance and Length Conversion: http://www.unitconversion.org/unit_converter/length.html
Area Conversion: http://www.unitconversion.org/unit_converter/area.html
Time Conversion: http://www.unitconversion.org/unit_converter/time.html
Velocity Conversion: http://www.unitconversion.org/unit_converter/velocity.html
Weight and Mass Conversion: http://www.unitconversion.org/unit_converter/weight.html
Others:
Volume, Energy, Force, Pressure, Currency, Temperature, Power, Number bases, and more.

Plus: Engineering converters, Heat converters, Fluids converters, Sound converters,
Light converters, Electricity converters, Magnetism converters,
Radiology converters, and Miscellaneous converters

To the right is an example of the Length Converter. Try it out, enter a value in the "From" box.
These Converters can be downloaded - free.

From:	To:

Result:
length conversion factors provided by unitconversion.org

send comments to Thomas M. Green c/o CCC Math Dept. hwalters@contracosta.edu

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