E-raamat: Guide to Discrete Mathematics: An Accessible Introduction to the History, Theory, Logic and Applications

This stimulating textbook presents a broad and accessible guide to the fundamentals of discrete mathematics, highlighting how the techniques may be applied to various exciting areas in computing. The text is designed to motivate and inspire the reader, encouraging further study in this important skill. Features: provides an introduction to the building blocks of discrete mathematics, including sets, relations and functions; describes the basics of number theory, the techniques of induction and recursion, and the applications of mathematical sequences, series, permutations, and combinations; presents the essentials of algebra; explains the fundamentals of automata theory, matrices, graph theory, cryptography, coding theory, language theory, and the concepts of computability and decidability; reviews the history of logic, discussing propositional and predicate logic, as well as advanced topics; examines the field of software engineering, describing formal methods; investigates proba

bility and statistics.

Mathematics in CivilizationSets, Relations and FunctionsNumber TheoryMathematical Induction and RecursionSequences, Series and Permutations and CombinationsAlgebraAutomata TheoryMatrix TheoryGraph TheoryCryptographyCoding TheoryLanguage Theory and Semantics Computability and DecidabilityA Short History of LogicPropositional and Predicate Logicadvanced topics="" in="" logicSoftware Engineering MathematicsFormal MethodsZ Formal Specification LanguageProbability, Statistics and Applications