From Wikipedia, the free encyclopedia
Area of mathematics
A black and white rendition of the Yale Babylonian Collection's Tablet YBC 7289 (c. 1800–1600 BCE), showing a Babylonian approximation to the square root of 2 (1 24 51 10 w: sexagesimal) in the context of Pythagoras' Theorem for an isosceles triangle. The tablet also gives an example where one side of the square is 30, and the resulting diagonal is 42 25 35 or 42.4263888.
Computational mathematics is an area of
mathematics devoted to the interaction between mathematics and
A large part of computational mathematics consists roughly of using mathematics for allowing and improving
computer computation in areas of
engineering where mathematics are useful. This involves in particular
numerical methods and
Computational mathematics refers also to the use of computers for mathematics itself. This includes mathematical experimentation for establishing
conjectures (particularly in
number theory), the use of computers for proving theorems (for example the
four color theorem), and the design and use of
Areas of computational mathematics
Computational mathematics emerged as a distinct part of applied mathematics by the early 1950s. Currently, computational mathematics can refer to or include:
Computational science, also known as scientific computation or
computational engineering Solving mathematical problems by
computer simulation as opposed to analytic methods of
Numerical methods used in scientific computation, for example
numerical linear algebra and
numerical solution of
partial differential equations
 Monte Carlo methods and other representations of
uncertainty in scientific computation The mathematics of scientific computation,
 numerical analysis, the theory of numerical methods
Computer algebra and
computer algebra systems Computer-assisted research in various areas of mathematics, such as
automated theorem proving),
number theory, and computational
computer security, which involve, in particular, research on
elliptic curves, and mathematics of
Computational linguistics, the use of mathematical and computer techniques in
Computational algebraic geometry
Computational group theory
Computational number theory
Algorithmic information theory
Algorithmic game theory
Mathematical economics, the use of mathematics in economics, finance and, to certain extents, of accounting.
National Science Foundation, Division of Mathematical Science,
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^ Future Directions in Computational Mathematics, Algorithms, and Scientific Software, Report of panel chaired by R. Rheinbold, 1985.
Distributed by SIAM.
Mathematics of Computation,
Journal overview. Retrieved April 2007.
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Harris, J. W.; Stocker, H. (1998).
Handbook of Mathematics and Computational Science ISBN
Hartmann, A.K. (2009).
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Practical Guide to Computer Simulations ISBN
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978-981-283-415-7 the original on February 11, 2009 . Retrieved . May 3, 2012
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White, R. E. (2003). Computational Mathematics: Models, Methods, and Analysis with MATLAB. Chapman and Hall.
Yang, X. S. (2008). Introduction to Computational Mathematics. World Scientific.
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