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The fields of mathematics and computing intersect both in computer science, the study of algorithms and data structures, and in scientific computing, the study of algorithmic methods for solving problems in mathematics, science, and engineering. List of algorithm general topics; List of computability and complexity topics
Computational mathematics is the study of the interaction between mathematics and calculations done by a computer. [ 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.
Automated theorem proving (also known as ATP or automated deduction) is a subfield of automated reasoning and mathematical logic dealing with proving mathematical theorems by computer programs. Automated reasoning over mathematical proof was a major motivating factor for the development of computer science.
This is a list of mathematical logic topics. For traditional syllogistic logic, see the list of topics in logic . See also the list of computability and complexity topics for more theory of algorithms .
A finite-state automaton from automata theory, a branch of theoretical computer science. Theoretical computer science is a subfield of computer science and mathematics that focuses on the abstract and mathematical foundations of computation. It is difficult to circumscribe the theoretical areas precisely.
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. Conversely, computer implementations are significant in applying ideas from discrete ...
Used in digital computer systems. Graph theory – Foundations for data structures and searching algorithms. Mathematical logic – Boolean logic and other ways of modeling logical queries; the uses and limitations of formal proof methods. Number theory – Theory of the integers. Used in cryptography as well as a test domain in artificial ...
Patch test (finite elements) — simple test for the quality of a finite element; MAFELAP (MAthematics of Finite ELements and APplications) — international conference held at Brunel University; NAFEMS — not-for-profit organisation that sets and maintains standards in computer-aided engineering analysis