Overview
- Authors:
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Cordelia Hall
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Department of Computing Science, University of Glasgow, Glasgow, UK
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John O’Donnell
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Department of Computing Science, University of Glasgow, Glasgow, UK
- Takes an entirely original approach to the teaching Discrete Mathematics, aimed at making it easier for students to learn difficult concepts
- Uses a simple functional language, requiring no prior knowledge of Functional Programming
- All the material needed to use the book will be available for download via ftp
- Includes an Instructors Guide, available via the Worldwide Web
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Table of contents (10 chapters)
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Front Matter
Pages i-xviii
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- Cordelia Hall, John O’Donnell
Pages 1-33
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- Cordelia Hall, John O’Donnell
Pages 35-87
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- Cordelia Hall, John O’Donnell
Pages 89-109
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- Cordelia Hall, John O’Donnell
Pages 111-127
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- Cordelia Hall, John O’Donnell
Pages 129-145
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- Cordelia Hall, John O’Donnell
Pages 147-162
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- Cordelia Hall, John O’Donnell
Pages 163-184
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- Cordelia Hall, John O’Donnell
Pages 185-227
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- Cordelia Hall, John O’Donnell
Pages 229-271
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- Cordelia Hall, John O’Donnell
Pages 273-293
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Back Matter
Pages 295-339
About this book
Several areas of mathematics find application throughout computer science, and all students of computer science need a practical working understanding of them. These core subjects are centred on logic, sets, recursion, induction, relations and functions. The material is often called discrete mathematics, to distinguish it from the traditional topics of continuous mathematics such as integration and differential equations. The central theme of this book is the connection between computing and discrete mathematics. This connection is useful in both directions: • Mathematics is used in many branches of computer science, in applica tions including program specification, datastructures,design and analysis of algorithms, database systems, hardware design, reasoning about the correctness of implementations, and much more; • Computers can help to make the mathematics easier to learn and use, by making mathematical terms executable, making abstract concepts more concrete, and through the use of software tools such as proof checkers. These connections are emphasised throughout the book. Software tools (see Appendix A) enable the computer to serve as a calculator, but instead of just doing arithmetic and trigonometric functions, it will be used to calculate with sets, relations, functions, predicates and inferences. There are also special software tools, for example a proof checker for logical proofs using natural deduction.
