Mathematics

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Changed: 7,8c7,8

:Finite Mathematics
:Finite Mathematics -- Combinatorics -- Set Theory -- Probability and Statistics

:Finite Mathematics
:Combinatorics -- Set Theory -- Probability and Statistics

Changed: 28,36c28,29

:Applied Mathematics
: well... -- Mechanics?

Oh please. Applied math pays the bills, and does a darn good job of it.
And its fun. Its just really, really, hard (''consider a horse, a perfectly
spherical horse...''). As a first topic here, I propose Mechanics?,
which one might say is the queen of applied math. I will also state that
without a thorough steeping in Lie Groups and Lie Algebras, you ain't going
anywhere fast in mechanics. So the rigor is there, always has been, but the
problems we can solve are getter more and more interesting!

:Applied Mathematics
:Acoustics? -- [Fluid Mechanics]? -- Mechanics? -- Relativity? -- \

Mathematics is the study of some abstract properties of quantity, structure, and space.

This page reflects one organizational view of mathematics. /Schemes offers other views. The organization and presentation of mathematics on Wikipedia is a hot topic--please see /Talk for a lively discussion.

: Finite Mathematics
: Combinatorics -- Set Theory -- Probability and Statistics

: Quantity
: Real numbers -- Complex numbers -- HyperReal numbers -- SurrealNumbers -- [Integer sequences]? -- Mathematical constants

: Change
: Calculus -- [Differential Equations]? -- TrigonometricFunctions

: Structure
: [Abstract algebra]? -- Analysis? -- Topology -- Geometry -- Linear Algebra -- CategoryTheory -- [Algebraic geometry]? -- [Mathematical group]?

: Space
: Topology -- Geometry -- Pythagorean Theorem -- Linear Algebra -- Tensors

: Methods
: Theorem-proving -- [Special functions]? -- [Philosophy of mathematics]? -- [Foundations of mathematics]? -- [Mathematical intuitionism]?

: Applied Mathematics
: Acoustics? -- [Fluid Mechanics]? -- Mechanics? -- Relativity? --

: Miscellanea
: Fermats Last Theorem -- Mathematician -- FieldsMedal -- The Most Remarkable Formula In The World

/Talk