what is applied mathematics?

Answer 1

Applied mathematics is using math to solve problems in the real world, or in other disciplines like physics.

Pure or abstract mathematics doesn't have to be (and often isn't) of practical interest.

Answer 2

"Applied mathematics" means using math to solve problems in the real world.

This term is usually viewed in contrast to "pure mathematics," which is the study of mathematics for its own sake, without much concern to applying results to the real world.

This does not mean that pure mathematics is useless. The difference between pure and applied mathematics is not in the material studied, but in what the emphasis is. Pure mathematicians emphasize finding new results and proving new theorems, and applied mathematicians emphasize using old results to describe the natural world, or sometimes developing new results that describe the natural world.

Historically, there have been many examples of things pure mathematicians have done that have been scoffed at as abstract nonsense, but which have later been shown to have good applications to the world. The most famous example of this is the complex numbers. Originally, most people felt that the complex numbers weren't "real", and therefore didn't exist, and couldn't possibly be applicable to the real world. However, today quantum theory in physics relies heavily on complex numbers, as do many other parts of physics.

I'm a pure mathematician. Could you tell? :)

Answer 3

Applied mathematics is a branch of mathematics that concerns itself with the application of mathematical knowledge to other domains. ...

Answer 4

Definitions of applied mathematics on the Web:

the branches of mathematics that are involved in the study of the physical or biological or sociological world
wordnet.princeton.edu/perl/webwn

Applied mathematics is a branch of mathematics that concerns itself with the application of mathematical knowledge to other domains. ...
en.wikipedia.org/wiki/Applied_mathematics

Answer 5

Applied Mathematics is a branch of mathematics that concerns itself with the mathematical techniques typically used in the application of mathematical knowledge to other domains.

Divisions of Applied Mathematics-

Traditionally, applied mathematics consisted of three major areas: Approximation theory (including computational methods), differential equations (especially partial differential equations), and applied probability. One could even do so-called "theoretical applied mathematics" in these areas, by performing research on the fundamentals of the subjects.

Today the term Applied Mathematics is used in a much broader sense. (Some mathematicians distinguish between applied mathematics, as described above, and applicable mathematics, which would be any mathematics that is applied in modeling a non-mathematical problem.) Mathematicians generally consider it incorrect to conflate applied mathematics--areas of mathematics--with applications of mathematics, the actual act of applying mathematics to a real-world problem. Scientists and social scientists who apply mathematics in their work typically do not make this distinction.

Applicable areas of mathematics include most notably-

-differential equations (ODEs and PDEs)
-numerical analysis/scientific computing
-approximation theory and representation theory
-matrix theory
-mathematical physics
-mathematical methods of engineering
-nonlinear optimization
-operations research, including linear programming
-continuous modelling
-control theory
-mathematical biology
-bioinformatics
-information theory
-game theory
-probability
-mathematical economics
-financial mathematics
-actuarial science
-cryptography
-graph theory (as applied to network analysis)
-statistics
-parts of theoretical computer science

Engineering mathematics and mathematical physics describe physical processes, and so are often indistinguishable from theoretical physics. Traditionally the subject Mechanics was often taught in departments of applied mathematics in American universities instead of Physics.

Segregation within Universities-

Some universities host departments of Applied Mathematics and Theoretical Physics, but it is now much less common to have separate departments of pure and applied mathematics. Schools with separate applied mathematics departments range from Brown University, which has a well-known and large Division of Applied Mathematics that offers degrees through the doctorate, to Santa Clara University, which offers only the M.S. in applied mathematics. Many research universities divide their mathematics department into pure and applied sections (e.g., MIT).

Fundamental applied mathematics is taught at second-level in some countries, such as Ireland, where it is a minority option at Leaving Certificate..

Answer 6

Application of Mathematics to every day life..

Answer 7

Applied Mathematics is maths which is useed in used in doind the problem of world

Answer 8

Maths when it is applied to solve porblems in other disciplines... Eg: Calculus can be used in a large no. of fields and probablity theory has a wide range of real-life applications

Answer 9

"Traditionally, applied mathematics consisted of three major areas: Approximation theory (including representation theory and computational methods); differential equations (especially partial differential equations); and applied probability."