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Difference between revisions of "Mathematics"
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The traditional division of mathematics into sub-disciplines is as follows: | The traditional division of mathematics into sub-disciplines is as follows: | ||
| − | : | + | :*[[Arithmetic]] - The study of whole numbers and fractions. |
::Sample theorem: If you subtract an odd number from an even number you get an odd number. | ::Sample theorem: If you subtract an odd number from an even number you get an odd number. | ||
| − | : | + | :*[[Geometry]] - The study of figures in space; points, lines, curves and three-dimensional objects. |
| − | ::Sample | + | ::Sample theorem: The angles in a triangle on a flat surface add up to 180 degrees. |
| − | : | + | :*[[Algebra]] - The use of abstract symbols to represent mathematical objects (numbers, lines, matrices, transformations), and the study of the rules for combining those symbols. |
::Sample theorem: For any two numbers <math>a</math> and <math>b</math>, <math>(a + b) * (a - b)\,=\,a^2\,-\,b^2</math>. | ::Sample theorem: For any two numbers <math>a</math> and <math>b</math>, <math>(a + b) * (a - b)\,=\,a^2\,-\,b^2</math>. | ||
| − | : | + | :*[[Analysis]] - The study of limits. |
::Sample theorem: The harmonic series is divergent; it increases without limit. | ::Sample theorem: The harmonic series is divergent; it increases without limit. | ||
| − | Modern mathematics of course contains much more than this; there is set theory, complex analysis, statistics, topology, and lots more. The area of mathematics that is concerned with [[prime | + | Modern mathematics of course contains much more than this; there is set theory, complex analysis, statistics, topology, and lots more. The area of mathematics that is concerned with numbers - though not just [[prime]] numbers - is called [[number theory]]. |
==External links== | ==External links== | ||
| − | *[ | + | *[[Wikipedia:Mathematics|Wikipedia]] |
| − | [[Category:Math]] | + | [[Category:Math| ]] |
Latest revision as of 15:56, 15 August 2024
Mathematics is the science of space, number and quantity.
The traditional division of mathematics into sub-disciplines is as follows:
- Arithmetic - The study of whole numbers and fractions.
- Sample theorem: If you subtract an odd number from an even number you get an odd number.
- Geometry - The study of figures in space; points, lines, curves and three-dimensional objects.
- Sample theorem: The angles in a triangle on a flat surface add up to 180 degrees.
- Algebra - The use of abstract symbols to represent mathematical objects (numbers, lines, matrices, transformations), and the study of the rules for combining those symbols.
- Sample theorem: For any two numbers [math]\displaystyle{ a }[/math] and [math]\displaystyle{ b }[/math], [math]\displaystyle{ (a + b) * (a - b)\,=\,a^2\,-\,b^2 }[/math].
- Analysis - The study of limits.
- Sample theorem: The harmonic series is divergent; it increases without limit.
Modern mathematics of course contains much more than this; there is set theory, complex analysis, statistics, topology, and lots more. The area of mathematics that is concerned with numbers - though not just prime numbers - is called number theory.
