A report on Computer science and Applied mathematics

Charles Babbage, sometimes referred to as the "father of computing".

Efficient solutions to the vehicle routing problem require tools from combinatorial optimization and integer programming.

Ada Lovelace published the first algorithm intended for processing on a computer.

A numerical solution to the heat equation on a pump casing model using the finite element method.

Fluid mechanics is often considered a branch of applied mathematics and mechanical engineering.

Mathematical finance is concerned with the modelling of financial markets.

The Brown University Division of Applied Mathematics is the oldest applied math program in the U.S.

Applied mathematics is the application of mathematical methods by different fields such as physics, engineering, medicine, biology, finance, business, computer science, and industry.

- Applied mathematics

From its origins in cybernetics and in the Dartmouth Conference (1956), artificial intelligence research has been necessarily cross-disciplinary, drawing on areas of expertise such as applied mathematics, symbolic logic, semiotics, electrical engineering, philosophy of mind, neurophysiology, and social intelligence.

- Computer science

2 related topics with Alpha

3rd century BC Greek mathematician Euclid (holding calipers), as imagined by Raphael in this detail from The School of Athens (1509–1511)

Mathematics

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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).

The distribution of prime numbers is a central point of study in number theory. This Ulam spiral serves to illustrate it, hinting, in particular, at the conditional independence between being prime and being a value of certain quadratic polynomials.

The quadratic formula expresses concisely the solutions of all quadratic equations

Rubik's cube: the study of its possible moves is a concrete application of group theory

The Babylonian mathematical tablet Plimpton 322, dated to 1800 BC.

Archimedes used the method of exhaustion, depicted here, to approximate the value of pi.

The numerals used in the Bakhshali manuscript, dated between the 2nd century BC and the 2nd century AD.

Leonardo Fibonacci, the Italian mathematician who introduced the Hindu–Arabic numeral system invented between the 1st and 4th centuries by Indian mathematicians, to the Western World.

Leonhard Euler created and popularized much of the mathematical notation used today.

Carl Friedrich Gauss, known as the prince of mathematicians

Euler's identity, which American physicist Richard Feynman once called "the most remarkable formula in mathematics".

Mathematics is essential in many fields, including natural sciences, engineering, medicine, finance, computer science and social sciences.

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.

An artistic representation of a Turing machine. Turing machines are used to model general computing devices.

Theoretical computer science

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Theoretical computer science (TCS) is a subset of general computer science and mathematics that focuses on mathematical aspects of computer science such as the theory of computation, lambda calculus, and type theory.

The field is broadly defined and includes foundations in computer science, applied mathematics, animation, statistics, biochemistry, chemistry, biophysics, molecular biology, genetics, genomics, ecology, evolution, anatomy, neuroscience, and visualization.