Computational Science Resources
Unit 2.3.2: Topic Research (Mathematics)
Summary
This page has links to professional mathematical organizations; project ideas; and sections on algorithms, chaos, cryptography, geometry and statistics. There are also links to other links.
Professional Organizations
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American Mathematical Society
- The AMS was founded in 1888 to further mathematical research and
scholarship. The Society has approximately 30,000 members
throughout the United States and around the world. On this
E-math site, you will find articles, news and other links.
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Mathematical Association of America
- MAA is the world's largest organization devoted to the interests
of collegiate mathematics. MAA Online has news and features,
journals, columns and links.
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National Council of Teachers of Mathematics
- NCTM is dedicated to improving the teaching and learning of
mathematics. On this site, you will find things of interest to
math education: standards, links, and discussions.
Project ideas
- 21st Century Problem Solving
- This site offers a variety of math problems over a wide range of
ability levels.
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MathSoft
- MathSoft is a company that produces the mathematical software
Mathcad. There are many on-line pages that have project ideas,
including
Unsolved Math problems,
The Puzzle Page, and
Math in Action.
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This is Mega Mathematics!
- Project ideas include topics in cartography, geometry and
paradoxes (complete with resources).
- Fun With Numbers
- Fun? Numbers? Me?? This page has a number of mathematical
and computational puzzles including factorials and primes.
Algorithms
- History of the Monte Carlo Method
- The Monte Carlo method provides approximate solutions to a
variety of mathematical problems by performing statistical
sampling experiments on a computer.
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The Pi Page
- More algorithms than you can imagine to find the value of pi.
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Eric's Treasure Trove of Life
- It's hard to know if the game of Life should be classified as
math or biology. You decide.
Chaos and fractals
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The Non-linear Lab
- An excellent introduction to non-linear dynamical systems and
questions related to chaotic behavior. Available in Spanish,
too.
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In a World of Order, Chaos Reigns
- Devoted to the Chaos Theory, this colorful page offers
information on the theory's history, real life examples, a
glossary of chaos terminology, diagrams, fractals... all the
CHAOS you could want.
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Chaos Theory
- A great explanation of chaos theory. Definitely check out the
"Brief Intro" which is understandable with examples and history.
Another paper, "Fractional Dementia" is also included.
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Mandelbrot and Julia Set Explorer
- Enter your parameters and create fractals on-line.
Cryptography
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A-Z Cryptography
This site has information about everything in cryptology, many links
to more resources, and many examples.
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Beginner's Guide to Cryptography
- This site starts at the very beginning with examples, history
and uses.
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CryptoWeb
- This site features an introduction to cryptography, reviewed
links and current news.
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ISAAC: a fast cryptographic random number generator
- Contains good internal pointers to hash
functions and block ciphers.
Geometry and Topology
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The Geometry Center
- "The Geometry Center Web at a Glance" will help you to navigate
this site, which details the work of the Geometry Center, a
National Science Foundation Center at the University of
Minnesota. You'll find interactive Web and Java applications,
geometry reference archives, software, video, and teaching
materials.
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Geometric and Surface Modeling
- This page demonstrates Java graphics, and has tutorials on
geometric modeling -- the fundamentals of computer graphics and
computer aided design. There are also some practical
applications.
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The KnotPlot Site
- Here you will find a collection of knots and links, viewed from
a mathematical perspective. Has images created with KnotPlot, a
fairly elaborate program to visualize and manipulate
mathematical knots in three and four dimensions.
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A Gallery of Interactive On-Line Geometry
- This on-line site allows you to draw geometric shapes right on
your screen.
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Virtual Reality Polyhedra
- A collection of over 1000 virtual reality polyhedra for you to
explore.
Statistics
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Basic Principles in Statistical Analysis
- A textbook on statistical methods.
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InStat Guide to Choosing and Interpreting Statistical Tests
- InStat is a commercial software company, and has produced this
154 page textbook on statistical analysis.
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Statistical Inference on the TI-82/83
- Tutorials on using a graphing calculator for statistical
analysis, including distributions, confidence intervals and
hypothesis tests. Also has several projects.
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AP Statistics
- This page is primarily devoted to statistics on a TI-83
graphing calculator, but you will find a textbook and projects
here.
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The Prob and Stat Page
- A collection of resources that includes news, links, topics and
more.
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WWW Resources for Teaching Statistics
- This unassuming page contains a wealth links to on-line
statistical resources (courses, algorithms, etc).
References and links
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The CRC Concise Encyclopedia of Mathematics
- Yikes!! Zillions of entries. You can find information by keyword
or by browsing alphabetically.
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Fibonacci Numbers and the Golden Section
- Has explanations and problems based on these regularities in
nature.
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Artificial Intelligence
- Artificial Intelligence (AI) is the area of computer science
focusing on creating machines that can engage on behaviors that
humans consider intelligent. This pages serves as a
comprehensive introduction to the subject.
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The Prime Page
- Way more than you ever wanted to know about prime numbers:
history, algorithms, software and discussions.
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History of Mathematics
- The title pretty much explains it all. You can find information
by subject, region, or timeline. Site also includes reference to
related online and print resources.
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Ask Dr. Math
- Dr. Math has a list of math questions and their answers.
If you can't find an answer here, submit your question.
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The Math Forum
- This extensive site has news, categorized links, ideas, and much
more.
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S.O.S. Mathematics
- A very helpful page--with tutorials--on subjects that include
Algebra, complex variables, trigonometry and calculus.
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GraphPad Software
- There are some nice links on this page to specific topics:
radioactive decay, statistical analysis and biostatistics.
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Math Virtual Library
- Florida State University's list of links, categorized by field
(numerical analysis, statistics, topology, etc).
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Martindale's: Mathematics
- Every link in the universe--by topic, location, you name it.
Don't get too lost.
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Yahoo: Mathematics
- More links