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While pure mathematicians sought a broad theory deriving as many as possible of the known special functions from a single principle, for a long time the special functions were the province of applied mathematics. Applications to the physical sciences and engineering determined the relative importance of functions.
an application of p-adic analysis looking at p-adic differential equations. p-adic Hodge theory Parabolic geometry Paraconsistent mathematics sometimes called inconsistent mathematics, it is an attempt to develop the classical infrastructure of mathematics based on a foundation of paraconsistent logic instead of classical logic. Partition theory
Many applied mathematics programs (as opposed to departments) consist primarily of cross-listed courses and jointly appointed faculty in departments representing applications. Some Ph.D. programs in applied mathematics require little or no coursework outside mathematics, while others require substantial coursework in a specific area of application.
All squares are rectangles (but not all rectangles are squares); therefore the square is a special case of the rectangle. Fermat's Last Theorem , that a n + b n = c n has no solutions in positive integers with n > 2 , is a special case of Beal's conjecture , that a x + b y = c z has no primitive solutions in positive integers with x , y , and z ...
Mathematical physics is concerned with "the application of mathematics to problems in physics and the development of mathematical methods suitable for such applications and for the formulation of physical theories". 1. List of mathematical topics in classical mechanics; List of mathematical topics in quantum theory
Differential equations are an important area of mathematical analysis with many applications in science and engineering. Analysis is the branch of mathematics dealing with continuous functions, limits, and related theories, such as differentiation, integration, measure, infinite sequences, series, and analytic functions. [1] [2]
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In 2013 the ICMI Emma Castelnuovo Award for Excellence in the Practice of Mathematics Education was created. The award recognizes outstanding achievements in the practice of mathematics education. The award is named after Emma Castelnuovo, an Italian mathematics educator born in 1913 to celebrate her 100th birthday and honour her pioneering work.