Mathematics of Discrete Structures for Computer Science

Gordon J. Pace

ISBN 10: 3642298397 / ISBN 13: 9783642298394

Verlag: Springer Berlin Heidelberg, Springer Berlin Heidelberg Sep 2012, 2012

Beschreibung

Neuware -Mathematics plays a key role in computer science, some researchers would consider computers as nothing but the physical embodiment of mathematical systems. And whether you are designing a digital circuit, a computer program or a new programming language, you need mathematics to be able to reason about the design -- its correctness, robustness and dependability. This book covers the foundational mathematics necessary for courses in computer science.The common approach to presenting mathematical concepts and operators is to define them in terms of properties they satisfy, and then based on these definitions develop ways of computing the result of applying the operators and prove them correct. This book is mainly written for computer science students, so here the author takes a different approach: he starts by defining ways of calculating the results of applying the operators and then proves that they satisfy various properties.After justifying his underlying approach the author offers detailed chapters covering propositional logic, predicate calculus, sets, relations, discrete structures, structured types, numbers, and reasoning about programs.The book contains chapter and section summaries, detailed proofs and many end-of-section exercises --key to the learning process. The book is suitable for undergraduate and graduate students, and although thetreatment focuses on areas with frequent applications in computer science, the book is also suitable for students ofmathematics and engineering.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 312 pp. Englisch.

Bestandsnummer des Verkäufers 9783642298394

Bibliografische Details

• Titel: Mathematics of Discrete Structures for Computer Science
• Verlag: Springer Berlin Heidelberg, Springer Berlin Heidelberg Sep 2012
• Erscheinungsjahr: 2012
• Sprache: Englisch
• ISBN-10: 3642298397
• ISBN-13: 9783642298394
• Einband: Buch
• Zustand: Neu

Über diesen Titel

Inhaltsangabe

Mathematics plays a key role in computer science, some researchers would consider computers as nothing but the physical embodiment of mathematical systems. And whether you are designing a digital circuit, a computer program or a new programming language, you need mathematics to be able to reason about the design -- its correctness, robustness and dependability. This book covers the foundational mathematics necessary for courses in computer science.

The common approach to presenting mathematical concepts and operators is to define them in terms of properties they satisfy, and then based on these definitions develop ways of computing the result of applying the operators and prove them correct. This book is mainly written for computer science students, so here the author takes a different approach: he starts by defining ways of calculating the results of applying the operators and then proves that they satisfy various properties. After justifying his underlying approach the author offers detailed chapters covering propositional logic, predicate calculus, sets, relations, discrete structures, structured types, numbers, and reasoning about programs.

The book contains chapter and section summaries, detailed proofs and many end-of-section exercises -- key to the learning process. The book is suitable for undergraduate and graduate students, and although the treatment focuses on areas with frequent applications in computer science, the book is also suitable for students of mathematics and engineering.

Über die Autorin bzw. den Autor

Gordon J. Pace is an associate professor in the Department of Computer Science of the University of Malta. He has an M.Sc. and a D.Phil. from Oxford, where he was a Rhodes Scholar. He has considerable experience teaching courses on the topic of his book to undergraduates in Computer Science, Mathematics and Engineering. His research interests include formal methods for software and hardware, runtime verification and formal analysis of contracts.