Mathematics in Computing An Accessible Guide to Historical, Foundati

This illuminating textbook provides a concise review of the core concepts in mathematics essential to computer scientists. Emphasis is placed on the practical computing applications enabled by seemingly abstract mathematical ideas, presented within their

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Gerard O’Regan

Mathematics in Computing An Accessible Guide to Historical, Foundational and Application Contexts Second Edition

Undergraduate Topics in Computer Science Series Editor Ian Mackie, University of Sussex, Brighton, UK Advisory Editors Samson Abramsky , Department of Computer Science, University of Oxford, Oxford, UK Chris Hankin , Department of Computing, Imperial College London, London, UK Mike Hinchey , Lero – The Irish Software Research Centre, University of Limerick, Limerick, Ireland Dexter C. Kozen, Department of Computer Science, Cornell University, Ithaca, NY, USA Andrew Pitts , Department of Computer Science and Technology, University of Cambridge, Cambridge, UK Hanne Riis Nielson , Department of Applied Mathematics and Computer Science, Technical University of Denmark, Kongens Lyngby, Denmark Steven S. Skiena, Department of Computer Science, Stony Brook University, Stony Brook, NY, USA Iain Stewart , Department of Computer Science, Durham University, Durham, UK

‘Undergraduate Topics in Computer Science’ (UTiCS) delivers high-quality instructional content for undergraduates studying in all areas of computing and information science. From core foundational and theoretical material to final-year topics and applications, UTiCS books take a fresh, concise, and modern approach and are ideal for self-study or for a one- or two-semester course. The texts are all authored by established experts in their fields, reviewed by an international advisory board, and contain numerous examples and problems, many of which include fully worked solutions. The UTiCS concept relies on high-quality, concise books in softback format, andgenerally a maximum of 275–300 pages. For undergraduate textbooks that arelikely to be longer, more expository, Springer continues to offer the highly regardedTexts in Computer Science series, to which we refer potential authors.

More information about this series at http://www.springer.com/series/7592

Gerard O’Regan

Mathematics in Computing An Accessible Guide to Historical, Foundational and Application Contexts Second Edition

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Gerard O’Regan SQC Consulting Mallow, Cork, Ireland

ISSN 1863-7310 ISSN 2197-1781 (electronic) Undergraduate Topics in Computer Science ISBN 978-3-030-34208-1 ISBN 978-3-030-34209-8 (eBook) https://doi.org/10.1007/978-3-030-34209-8 1st edition: © Springer-Verlag London 2013 2nd edition: © Springer Nature Switzerland AG 2020 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that s