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Differential equation

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  Differential equation 95 languages Article Talk Read Edit View history Tools From Wikipedia, the free encyclopedia Not to be confused with  Difference equation . Visualization of heat transfer in a pump casing, created by solving the  heat equation .  Heat  is being generated internally in the casing and being cooled at the boundary, providing a  steady state  temperature distribution. Differential equations Scope show Fields Classification show Types show Relation to processes Solution show Existence and uniqueness show General topics show Solution methods People show List v t e In  mathematics , a  differential equation  is an  equation  that relates one or more unknown  functions  and their  derivatives . [1]  In applications, the functions generally represent physical quantities, the derivatives represent their rates of change, and the differential equation defines a relationship between the two. Such ...
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Number theory

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  Number theory 111 languages Article Talk Read Edit View history Tools From Wikipedia, the free encyclopedia For the book by André Weil, see  Number Theory: An Approach Through History from Hammurapi to Legendre . Not to be confused with  Numerology . The distribution of  prime numbers  is a central point of study in number theory. This  Ulam spiral  serves to illustrate it, hinting, in particular, at the conditional  independence  between being prime and being a value of certain quadratic polynomials. Mathematics hide Areas Number theory Geometry Algebra Calculus  and  analysis Discrete mathematics Logic  and  set theory Probability Statistics  and  decision sciences hide Relationship with sciences Physics Chemistry Geosciences Computation Biology Linguistics Economics Philosophy Education Portal v t e Number theory  (or  arithmetic  or  higher arithmetic  in older usage) is a branch of...
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