Mathematics

Guide Note

Mathematics is at the core of every branch of science and engineering.

Fast Facts

1. Largest known prime number: 2^13466917 - 1
2. March 14th is referred to as "Pi Day"
3. Earliest math text: 1900 BC, Mesopotamia
4. 111,111,111 x 111,111,111 = 12,345,678,987,654,321

Branches of Mathematics

1. Calculus: Studies the behavior of change in a function
2. Geometry: A study of space and how differently shaped objects are oriented and sized within that space
3. Trigonometry: A branch of geometry that focuses on the study of triangles
4. Number Theory: Deals with the properties of numbers, most often it focuses on integers
5. Probability: A quantitative study of chance and the likelihood/frequency that events will occur
6. Differential Mathematics: Used to solve multivariable equations that include functions unknowns dependent on derivatives of the original functions
7. Cryptography: Deals with coding and decoding information

The Mahalo Top 7

1. Wolfram Mathworld
2. Wikipedia: Mathematics
3. Springer: Encyclopaedia of Mathematics
4. Mathematical Atlas
5. MathWords: Equations and Formulas from Algebra to Calculus
6. Drexel University: The Math Forum
7. WebMath.org

Mathematics Recent News

• Google News: Mathematics
• Topix: Mathematics News
• ScienceDaily: Mathematics News

Mathematics History

• MacTutor: History of Mathematics archive
• MathForum: Famous Problems in the History of Mathematics
• Ibiblio: Greek Mathematics and Its Modern Heirs
• Wikipedia: History of Mathematics
• University of Washington Libraries: Math/Stat History and Biography Resources

Notable Figures in Mathematics

• School of Mathematics & Statistics: Indexes of Biographies
• Wikipedia: Carl Friedrich Gauss
• Wikipedia: Benjamin Peirce
• Math Open Reference: Euclid
• Math Open Reference: Pythagoras

Mathematics Fun Stuff

• Pi Pages on the Internet
• Powers of 10
• Quiz-Tree.com: Math Games 
• YouTube: Animaniacs Slide Show: The Multiplication Song
• The Math in the Movies
• Wikipedia: Pi Day
• Stetson University: What's Special About This Number?
• University of Arizona: The Ten Coolest Numbers
• Josleys: The Math Behind the Art of M.C. Escher

Mathematics Research

• National Science Foundation: Mathematics
• University of Ohio Department of Mathematics: Research Areas
• Wolfram MathWorld: Unsolved Problems
• Wolfram Research

Mathematics Educational Resources

• Wolfram: The Integrator Calculator
• EquationSheet.com: Math Equations
• Mathwords: Terms and Formulas from Beginning Algebra to Calculus
• Stonehill College: How to Read Mathematics
• eteach.com: A Maths Dictionary For Kids
• Probability.net: Probability Tutorials
• AMS: Voronoi Diagrams And A Day At The Beach
• About.com: Math

Higher Education

• MIT Open Courseware: Mathematics
• LectureFox: Mathematics Lectures
• Northern Illinois University: Index Using Mathematics Subject Classification
• Math Open Reference

Mathematics Photos and Videos

• Google Image Search: Mathematics
• YouTube: New Math (Tom Lehrer) Animation
• YouTube & Google Video: Mathematics

Mathematics Blogs and Forums

• Kitchen Table Math
• Good Math, Bad Math
• Futility Closet: Euler's Identity
• OLPC Wiki: What makes Mathematics hard to learn? (February 16, 2008)

Mathematics Organizations and Societies

• American Mathematical Society
• European Mathematical Society
• American Statistical Association
• Mathematical Association of America
• Society for Industrial and Applied Mathematics
• International Mathematics Union

Mathematics Books and Publications

• Amazon.com: Mathematics Books
• Amazon.com: The Thirteen Books of the Elements
• Amazon.com: CRC Concise Encyclopedia of Mathematics
• Amazon.com: The Works of Archimedes
• BJMath.com: The Mathematics of Gambling  
• Georgia Tech: Online Math Textbooks

Mathematical Fields and Theories

• Wikipedia: Chaos Theory
• MathWorld: Number Theory
• Dictionary of the History of Ideas: Math & Logic
• Stevens Institute of Technology: The Hundred Greatest Theorems
• Wikipedia: Differential Equations

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