# Applied mathematics

Application of mathematical methods by different fields such as physics, engineering, medicine, biology, finance, business, computer science, and industry.

- Applied mathematics500 related topics

## Mathematics

Area of knowledge that includes such topics as numbers , formulas and related structures (algebra), shapes and the spaces in which they are contained (geometry), and quantities and their changes (calculus and analysis).

Area of knowledge that includes such topics as numbers , formulas and related structures (algebra), shapes and the spaces in which they are contained (geometry), and quantities and their changes (calculus and analysis).

Some areas of mathematics, such as statistics and game theory, are developed in close correlation with their applications and are often grouped under applied mathematics.

## Pure mathematics

Study of mathematical concepts independently of any application outside mathematics.

Study of mathematical concepts independently of any application outside mathematics.

It follows that, presently, the distinction between pure and applied mathematics is more a philosophical point of view or a mathematician's preference rather than a rigid subdivision of mathematics.

## Henri Poincaré

French mathematician, theoretical physicist, engineer, and philosopher of science.

French mathematician, theoretical physicist, engineer, and philosopher of science.

As a mathematician and physicist, he made many original fundamental contributions to pure and applied mathematics, mathematical physics, and celestial mechanics.

## Engineering

Use of scientific principles to design and build machines, structures, and other items, including bridges, tunnels, roads, vehicles, and buildings.

Use of scientific principles to design and build machines, structures, and other items, including bridges, tunnels, roads, vehicles, and buildings.

The discipline of engineering encompasses a broad range of more specialized fields of engineering, each with a more specific emphasis on particular areas of applied mathematics, applied science, and types of application.

## Mathematical optimization

Selection of a best element, with regard to some criterion, from some set of available alternatives.

Selection of a best element, with regard to some criterion, from some set of available alternatives.

The generalization of optimization theory and techniques to other formulations constitutes a large area of applied mathematics.

## Asymptotic analysis

Method of describing limiting behavior.

Method of describing limiting behavior.

In applied mathematics, asymptotic analysis is used to build numerical methods to approximate equation solutions.

## Brown University

Private Ivy League research university in Providence, Rhode Island.

Private Ivy League research university in Providence, Rhode Island.

The university is home to the oldest applied mathematics program in the United States, the oldest engineering program in the Ivy League, and the third-oldest medical program in New England.

## Stephen Hawking

English theoretical physicist, cosmologist, and author who, at the time of his death, was director of research at the Centre for Theoretical Cosmology at the University of Cambridge.

English theoretical physicist, cosmologist, and author who, at the time of his death, was director of research at the Centre for Theoretical Cosmology at the University of Cambridge.

In October 1962, he began his graduate work at Trinity Hall, Cambridge, where in March 1966, he obtained his PhD degree in applied mathematics and theoretical physics, specialising in general relativity and cosmology.

## Statistician

Person who works with theoretical or applied statistics.

Person who works with theoretical or applied statistics.

Additionally, there is a substantial number of people who use statistics and data analysis in their work but have job titles other than statistician, such as actuaries, applied mathematicians, economists, data scientists, data analysts (predictive analytics), financial analysts, psychometricians, sociologists, epidemiologists, and quantitative psychologists.

## Computational mathematics

Computational mathematics involves mathematical research in mathematics as well as in areas of science where computation plays a central and essential role, and emphasizes algorithms, numerical methods, and symbolic computations.

Computational mathematics involves mathematical research in mathematics as well as in areas of science where computation plays a central and essential role, and emphasizes algorithms, numerical methods, and symbolic computations.

Computational applied mathematics consists roughly of using mathematics for allowing and improving computer computation in applied mathematics.