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The logarithmic spiral of the nautilus shell is a classical image used to depict the growth and change related to calculus. Calculus is used in every branch of the physical sciences, [54]: 1 actuarial science, computer science, statistics, engineering, economics, business, medicine, demography, and in other fields wherever a problem can be ...
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.
Lambda calculus has applications in many different areas in mathematics, philosophy, [4] linguistics, [5] [6] and computer science. [7] [8] Lambda calculus has played an important role in the development of the theory of programming languages. Functional programming languages implement lambda calculus. Lambda calculus is also a current research ...
Computational geometry applies computer algorithms to representations of geometrical objects. Theoretical computer science includes areas of discrete mathematics relevant to computing. It draws heavily on graph theory and mathematical logic. Included within theoretical computer science is the study of algorithms and data structures.
In computer science, the process calculi (or process algebras) are a diverse family of related approaches for formally modelling concurrent systems.Process calculi provide a tool for the high-level description of interactions, communications, and synchronizations between a collection of independent agents or processes.
The book provides mathematical knowledge and skills for computer science, especially for the analysis of algorithms. According to the preface, the topics in Concrete Mathematics are "a blend of CONtinuous and disCRETE mathematics". Calculus is frequently used in the explanations and exercises.
Formal calculi such as the lambda calculus and combinatory logic are now studied as idealized programming languages. Computer science also contributes to mathematics by developing techniques for the automatic checking or even finding of proofs, such as automated theorem proving and logic programming.
In theoretical computer science, the π-calculus (or pi-calculus) is a process calculus. The π -calculus allows channel names to be communicated along the channels themselves, and in this way it is able to describe concurrent computations whose network configuration may change during the computation.