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Sets, Logic and Maths for Computing

  • David Makinson

Part of the Undergraduate Topics in Computer Science book series (UTICS)

Table of contents

  1. Front Matter
    Pages i-xxi
  2. David Makinson
    Pages 1-25
  3. David Makinson
    Pages 27-56
  4. David Makinson
    Pages 113-136
  5. David Makinson
    Pages 137-164
  6. David Makinson
    Pages 165-188
  7. David Makinson
    Pages 189-215
  8. David Makinson
    Pages 243-274
  9. Back Matter
    Pages 275-283

About this book

Introduction

This easy-to-follow textbook introduces the mathematical language, knowledge and problem-solving skills that undergraduate students need to enter the world of computer and information sciences. The language is in part qualitative, with concepts such as set, relation, function and recursion/induction; but it is also partly quantitative, with principles of counting and finite probability. Entwined with both are the fundamental notions of logic and their use for representation and proof. In ten chapters on these topics, the book guides the student through essential concepts and techniques.

The extensively revised second edition provides further clarification of matters that typically give rise to difficulty in the classroom and restructures the chapters on logic to emphasize the role of consequence relations and higher-level rules, as well as including more exercises and solutions.

Topics and features:

  • Teaches finite mathematics as a language for thinking, as much as knowledge and skills to be acquired
  • Uses an intuitive approach with a focus on examples for all general concepts
  • Brings out the interplay between the qualitative and the quantitative in all areas covered, particularly in the treatment of recursion and induction
  • Balances carefully the abstract and concrete, principles and proofs, specific facts and general perspectives
  • Includes highlight boxes that raise common queries and clear away confusions
  • Provides numerous exercises, with selected solutions, to test and deepen the reader’s understanding

This clearly-written text/reference is a must-read for first-year undergraduate students of computing. Assuming only minimal mathematical background, it is ideal for both the classroom and independent study.

Dr. David Makinson is a Visiting Professor in the Department of Philosophy, Logic and Scientific Method at the London School of Economics, UK.

Keywords

Computer Science Computing Discrete Mathematics Information Science Logic

Authors and affiliations

  • David Makinson
    • 1
  1. 1.Department of PhilosophyLondon School of EconomicsLondonUnited Kingdom

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4471-2500-6
  • Copyright Information Springer-Verlag London Limited 2012
  • Publisher Name Springer, London
  • eBook Packages Computer Science
  • Print ISBN 978-1-4471-2499-3
  • Online ISBN 978-1-4471-2500-6
  • Series Print ISSN 1863-7310
  • Buy this book on publisher's site