Mathmatics is extremly interesting as it is the most basic and elemental "thing" that exists. It transcends theory and reality. What other endevour is so pure and complex? It's simple and complex at the same time. I'm not a mathmatician in the sense that I don't want to actually do the complex work of math, but I want to know about all the various quirks it contains. There are quite a number of interesting aspects that I like to learn about.
Wiki has great sections on subjects like mathmatics.
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Mathematics is the search for fundamental truths in pattern, quantity, and change. For more on the relationship between mathematics and science, refer to the article on science.
The following outline is provided as an overview of and topical guide to mathematics:
Contents
1 Subjects
1.1 Quantity
1.2 Structure
1.3 Space
1.4 Change
1.5 Foundations and philosophy
1.6 Mathematical logic
1.7 Discrete mathematics
1.8 Applied mathematics
2 History
3 General concepts
4 Influential mathematicians
5 Related lists
6 External links
[edit] Subjects
[edit] Quantity
Main article: Quantity
Natural numbers
Integers
Rational numbers
Real numbers
Complex numbers
[edit] Structure
Main article: Structure
Number theory
Abstract algebra
Order theory
[edit] Space
Main article: Space
Geometry
Algebraic geometry
Trigonometry
Differential geometry
Topology
Fractal geometry
[edit] Change
Main article: Change
Calculus
Vector calculus
Differential equations
Dynamical systems
Chaos theory
[edit] Foundations and philosophy
Main article: Foundations of mathematics
Philosophy of mathematics
Category theory
Set theory
[edit] Mathematical logic
Main article: Mathematical logic
Model theory
Proof theory
Recursion theory
Set theory
[edit] Discrete mathematics
Main article: Discrete mathematics
Combinatorics
Theory of computation
Cryptography
Graph theory
[edit] Applied mathematics
Main article: Applied mathematics
Mathematical physics
Analytical mechanics
Mathematical fluid dynamics
Numerical analysis
Optimization
Probability
Statistics
Mathematical economics
Financial mathematics
Game theory
Mathematical biology
Cryptography
Operations research
Information theory
Control theory
Dynamical systems
[edit] History
Main article: History of mathematics
Babylonian mathematics
Egyptian mathematics
Indian mathematics
Greek mathematics
Chinese mathematics
Abacus
History of the Hindu-Arabic numeral system
Islamic mathematics
Japanese mathematics
History of algebra
History of geometry
History of mathematical notation
History of trigonometry
History of writing numbers
[edit] General concepts
Algebra -- Analysis -- Area -- Arithmetic -- Calculus -- Category theory -- Combinatorics -- Complex number -- Computation -- Coordinate system -- Decimal -- Derivative -- Digit -- Equation -- Fractal -- Function (mathematics) -- Geometry -- Infinity -- Integral -- Length -- Limit -- Logarithm -- Logic -- Matrix -- Number -- Numeral -- Pi -- Power -- Prime number -- Proof -- Rational number -- Real number -- Series -- Set -- Trigonometry -- Vector space -- Vector (geometric) -- Volume
[edit] Influential mathematicians
Main article: List of mathematicians
Bartel Leendert van der Waerden
Leonhard Euler
Pythagoras
Fibonacci
[edit] Related lists
Main article: Lists of mathematics topics
http://en.wikipedia.org/wiki/Outline_of_mathematics
http://en.wikipedia.org/wiki/Pi
http://en.wikipedia.org/wiki/Fractal_art
http://en.wikipedia.org/wiki/Fibonacci_number#Computation_by_rounding
http://en.wikipedia.org/wiki/Game_theory
http://en.wikipedia.org/wiki/Calculus