Mathematics is at the core of every branch of science and engineering, and has many applications in business, finance and everyday life.
Important branches of mathematics include:
- Calculus: Studies the behavior of change in a function
- Geometry: A study of space and how differently shaped objects are oriented and sized within that space
- Trigonometry: A branch of geometry that focuses on the study of triangles
- Number Theory: Deals with the properties of numbers, most often it focuses on integers
- Probability: A quantitative study of chance and the likelihood/frequency that events will occur
- Differential equations: Used to solve multivariable equations that include functions unknowns dependent on derivatives of the original functions
- Cryptography: Deals with coding and decoding information
Calculators
WolframAlpha is an indispensable tool. Check it out
Encyclopedia of integer number sequences
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
Math Concepts Explained
MathTV.com - videos explaining many math concepts from basics through to calculus
BetterExplained.com - a variety of tips and shortcuts for math, programming and communicating
Paul's Online Math Notes - class notes and cheats sheets written by Paul Dawkins of Lamar University. Good resource for differential equations.
Ask Dr Math - forum for math students and teachers
MathNerds - free math help from volunteers around the world
How to learn Mathematics
How to learn Mathematics is explained by the Professor Norman Wildberger, University of New South Wales. He states that The basic idea: `Mathematics is a landscape'.
How to Study in High School and College (excerpt)
An introduction to a video presented in an informal "cool" way. The full video can be found at http://www.midnighttutor.com/HowToStudyFull.html . This tutor appears often at midnighttutor.com . The website has many presentations especially of Calculus.
Movies about Mathematics
- A Beautiful Mind (2001)
- Good Will Hunting (1997)
- Proof (2005)
- Pi (1998)
- Moebius (Argentina,1996)
- Enigma (2001)
Pi Movie Trailer
Pi movie is about a genius mathematician who tries to find an explanation in the randomness of pi digits. The formula would hold the key for various things such as stock market behavior or Cabbala mysteries. The mathematician suffers from terrible migraines, and so the movie has shocking parts.
"A beautiful mind" trailer
Movie about the life of John Nash, eccentric mathematician who won Nobel Prize.
References
Fast Facts
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Largest known prime number
2^43112609 - 1 (found in 2008)
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Fact:
March 14th is referred to as "Pi Day"
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Earliest math text
1900 BC, Mesopotamia
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Fact:
111,111,111 x 111,111,111 = 12,345,678,987,654,321
