Titlebook: Mathematics in Computing; An Accessible Guide Gerard O’Regan Textbook 20131st edition Springer-Verlag London 2013 Calculus.Coding Theory.C

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Logic,cal rules, and a valid deductive argument establishes the truth of the conclusion provided that the premises are true. Logic plays a key role in reasoning and deduction in mathematics but is regarded as a separate discipline from mathematics. There were attempts in the early twentieth century to sho

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Formal Methods,rmal specification language, and employ a collection of tools to support the syntax checking of the specification as well as the proof of properties of the specification. They allow questions to be asked about what the system does independently of the implementation.

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Number Theory,rties such as the parity of a number, divisibility, additive and multiplicative properties, whether a number is prime or composite, the prime factors of a number, the greatest common divisor and least common multiple of two numbers and so on.

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Coding Theory,rs to be detected and corrected, which is essential when messages are transmitted through a noisy communication channel. The channel could be a telephone line, radio link or satellite link, and coding theory is applicable to mobile communications and satellite communications. It is also applicable t

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Probability, Statistics and Software Reliability,llection needs to be planned and this may include surveys and experiments. Statistics is widely used by government and industrial organisations, and it is employed for forecasting as well as for presenting trends. They allow the behaviour of a population to be studied and inferences to be made about

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Matrix Theory,rix, where . and . are its dimensions. A matrix with an equal number of rows and columns (e.g. . rows and . columns) is termed a square matrix. The example matrix below is a square matrix with four rows and four columns.

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Complex Numbers and Quaternions,, introduced complex numbers, and he used them to solve cubic equations. The set of complex numbers is denoted by ℂ, and each complex number has two parts namely the real part Re(.) = ., and the imaginary part Im(.) = .. The set of complex numbers is a superset of the set of real numbers, and this i

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