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Modelling Computing Systems

Mathematics for Computer Science

Author(s):
Publisher:

Springer

Pages: 500
Further Actions:

Recommend to library

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Paperback - 9781848003217

24 July 2013

$69.99

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Ebook - 9781848003224

10 July 2013

$54.99

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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...

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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.

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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

Introduction
Part I: Mathematics for Computer Science
Propositional Logic
Sets
Boolean Algebras and Circuits
Predicate Logic
Proof Strategies
Functions
Relations
Inductive and Recursive Definitions
Proofs by Induction
Games and Strategies
Part II: Modelling Computing Systems
Modelling Processes
Distinguishing Between Processes
Logical Properties of Processes
Concurrent Processes
Temporal Properties.

“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)
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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.

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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.

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