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Computational mathematics is the study of the interaction between mathematics and calculations done by a computer Automated reasoning an area of computer science and mathematical logic dedicated to understanding different aspects of reasoning. [1] a large part of computational mathematics consists roughly of using mathematics for allowing and improving computer computation in areas of science and engineering where mathematics are useful.

In mathematics and computer science, [1] computer algebra, also called symbolic computation or algebraic computation, is a scientific area that refers to the study and development of algorithms and software for manipulating mathematical expressions and other mathematical objects. It is a theory in theoretical computer science and discrete mathematics (a subject of study in both mathematics and computer science) Concepts and notations from discrete mathematics are useful in studying and describing objects and problems in branches of computer science, such as computer algorithms, programming languages, cryptography, automated theorem proving, and software development.

Category theory represents a view of mathematics that emphasizes the relations between structures

It is intimately tied to many aspects of computer science Type systems for programming languages, the theory of transition systems, models of programming languages and the theory of programming language semantics Computer science is the study of computation, information, and automation [1][2][3] included broadly in the sciences, computer science spans theoretical disciplines (such as algorithms, theory of computation, and information theory) to applied disciplines (including the design and implementation of hardware and software)

[1] mathematics is essential in the natural sciences, engineering, medicine, finance, computer science, and the social sciences Although mathematics is extensively used for modeling phenomena, the fundamental truths of mathematics are independent of any scientific experimentation. It is difficult to circumscribe the theoretical areas precisely. For further reading in discrete mathematics, beyond a basic level, see these pages

Many of these disciplines are closely related to computer science

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