Modelling Computing Systems
Mathematics for Computer Science
Authors: Moller, Faron, Struth, Georg
Free Preview- Provides an elementary introduction to the mathematics and modelling of computing systems
- Explores concepts of games and strategies to provide a paradigm for understanding the nature of computation
- Develops a foundation for computational thinking and problem solving
- Presents the topics in a clear and comprehensive style
- Introduces bisimulation, Hennessy-Milner logic, and the relationship between them, at an introductory level
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- About this Textbook
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This engaging text presents the fundamental mathematics and modelling techniques for computing systems in a novel and light-hearted way, which can be easily followed by students at the very beginning of their university education. Key concepts are taught through a large collection of challenging yet fun mathematical games and logical puzzles that require no prior knowledge about computers. The text begins with intuition and examples as a basis from which precise concepts are then developed; demonstrating how, by working within the confines of a precise structured method, the occurrence of errors in the system can be drastically reduced.
Features: demonstrates how game theory provides a paradigm for an intuitive understanding of the nature of computation; contains more than 400 exercises throughout the text, with detailed solutions to half of these presented at the end of the book, together with numerous theorems, definitions and examples; describes a modelling approach based on state transition systems. - About the authors
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Prof. Faron Moller is a Professor of Computer Science at Swansea University, UK.
Dr. Georg Struth is a Reader in Computer Science at the University of Sheffield, UK.
- Reviews
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“This book by UK academics Moller (Swansea Univ.) and Struth (Univ. of Sheffield) is designed to serve as a textbook for first-year university students in computer science. The volume contains 15 chapters, divided in two parts. … libraries may wish to acquire it for the benefit of advanced undergraduates. Summing Up: Recommended. Only comprehensive academic mathematics and computer science collections.” (B. Borchers, Choice, Vol. 51 (7), March, 2014)
“This book contains essential mathematics and modelling techniques for computing systems for which a presentation style suitable for first year undergraduate students has been chosen. … The book contains more than 200 exercises throughout the text and provides complete solutions at the back of the book on more than 80 pages.” (Gudula Rünger, zbMATH, Vol. 1278, 2014)
- Table of contents (16 chapters)
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Introduction
Pages 1-14
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Propositional Logic
Pages 17-55
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Sets
Pages 57-86
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Boolean Algebras and Circuits
Pages 87-108
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Predicate Logic
Pages 109-129
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Table of contents (16 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Modelling Computing Systems
- Book Subtitle
- Mathematics for Computer Science
- Authors
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- Faron Moller
- Georg Struth
- Series Title
- Undergraduate Topics in Computer Science
- Copyright
- 2013
- Publisher
- Springer-Verlag London
- Copyright Holder
- Springer-Verlag London Ltd., part of Springer Nature
- eBook ISBN
- 978-1-84800-322-4
- DOI
- 10.1007/978-1-84800-322-4
- Softcover ISBN
- 978-1-84800-321-7
- Series ISSN
- 1863-7310
- Edition Number
- 1
- Number of Pages
- XVI, 500
- Number of Illustrations
- 46 b/w illustrations
- Topics
