Guide to Discrete Mathematics: An Accessible Introduction to the History, Theory, Logic and Applications, Second EditionКНИГИ » НАУКА И УЧЕБА
Название: Guide to Discrete Mathematics: An Accessible Introduction to the History, Theory, Logic and Applications, Second Edition Автор: Gerard O’Regan Издательство: Springer Год: 2021 Формат: PDF Страниц: 459 Размер: 10 Mb Язык: English
This stimulating textbook/reference 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. Topics and 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, covering simultaneous and quadratic equations, and the laws of logarithms and indices, in addition to such structures in abstract algebra as monoids, groups, rings, integral domains, fields, and vector spaces 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 such advanced topics as fuzzy logic, temporal logic, intuitionistic logic, undefined values, theorem provers, and the applications of logic to AI Examines the field of software engineering, including software reliability and dependability and describes formal methods Investigates probability and statistics and presents an overview of operations research and financial mathematics This engaging and clearly written work offers an invaluable overview of discrete mathematics for undergraduate computer science students, and to students of mathematics interested in the rich applications of discrete mathematics to the field of computing.
Discrete Mathematics and Applications Название: Discrete Mathematics and Applications Автор: Editors Andrei M. Raigorodskii, Michael Th. Rassias Издательство: Springer Год: 2020 Формат:...