Applied Mathematics
The Applied Mathematics deals with both the development of new methods to solve problems from other areas (such as chemistry , biology , physics , economics , computer science , engineering , etc.), as well as the application of known mathematical methods in well-known problems.
In particular, this includes
- Computational math
- Financial math
- Geomathematics
- Graph theory
- Engineering math
- Cryptology
- Mathematical Chemistry
- Mathematical physics
- Mathematical psychology
- Mathematical Statistics
- numerical Mathematics
- Optimization and Operations Research
- Theoretical biology
- Actuarial
- Business Mathematics
- Scientific computing
The mathematical methods are applied to a model of the system under consideration.
The line between pure and applied mathematics is fluid, just as the term applied science is problematic in itself. The assignment of work to one of these two major fields depends heavily on the personal views of the mathematicians involved.
Applied mathematics, which deals with mathematical methods (and is therefore a sub-area of mathematics), is to be distinguished from the applications of mathematics in natural science, engineering and other areas. So it will not be said that a biologist who uses mathematical methods of population dynamics and applies well-known mathematics does applied mathematics himself - he just uses it. Often times, non-mathematicians do not draw this line, and it is not always clear. The use of mathematics to solve industrial problems is called industrial mathematics; Technomathematics, which deals with problems arising from technology, should be mentioned here as a sub-area.
literature
- William J. Clark, Robert A. Brechner: Applied Basic Mathematics , Addison-Wesley, 2008, ISBN 978-0-321-19407-7 .
- Kenneth Eriksson, Donald Estep, Claes Johnson: Applied Mathematics: Body & Soul , Springer Verlag, 2004/05, several volumes, ISBN 978-3-540-24340-3 , 978-3540228790, 978-3540214014.
- Norbert Herrmann : Mathematics is everywhere , Oldenbourg Wissenschaftsverlag, 2012, ISBN 978-3-486-71291-9 .
- James P. Keener: Principles Of Applied Mathematics , Westview Press, 2000, ISBN 978-0-7382-0129-0 .
- Burkhard Lenze: Basic knowledge of applied mathematics -numerics, graphics, cryptics- , Springer-Vieweg, 2020, ISBN 978-3-658-30027-2 .
- J. David Logan: Applied Mathematics , Wiley-Interscience, 2006, ISBN 978-0-471-74662-1 .
- Josef Trölß: Applied Mathematics with MathCad , Springer Verlag, 2007/08, several volumes, ISBN 978-3-211-76742-9 , 978-3211711781, 978-3211767467, 978-3211767481.
Web links
- Literature on applied mathematics in the catalog of the German National Library
- deutschlandfunk.de , Research News , August 15, 2016, Frank Grotelüschen: Tire mathematics: rubber equations for more grip