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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
We have all experienced delays and frustrations as a result of the notorious ‘computer glitch.’ However, the more dependent we become on computational systems in our daily lives, the more we must ensure that they are safe, reliable and user-friendly.
This engaging textbook 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.
Topics and features:
Introduces important concepts from discrete mathematics as the basis of computational thinking, presented in a stimulating and motivating style
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 an approach to the modelling of computing systems based on state transition systems, exploring the languages and techniques for expressing and reasoning about systems specifications and concurrent implementations
This clearly written and classroom-tested textbook/reference is essential reading for first-year undergraduate modules on discrete mathematics and systems modelling.
Content Level »Lower undergraduate
Keywords »Discrete mathematics in computer science - Logics and meanings of programs - Math applications in computer science - Mathematical logic and formal languages - Modelling Computing Systems