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  • © 2013

Concise Computer Mathematics

Tutorials on Theory and Problems

Authors:

  • Provides a concise introduction to the essential mathematical concepts for computer science undergraduate students
  • Contains numerous exercises throughout the text, together with solutions and additional, more challenging problems for those wishing to stretch themselves further
  • Presents classroom-tested material, specifically designed to support computer science courses

Part of the book series: SpringerBriefs in Computer Science (BRIEFSCOMPUTER)

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Table of contents (12 chapters)

  1. Front Matter

    Pages i-xii
  2. Sets and Numbers

    • Ovidiu Bagdasar
    Pages 1-8
  3. Relations and Databases

    • Ovidiu Bagdasar
    Pages 9-18
  4. Functions

    • Ovidiu Bagdasar
    Pages 19-26
  5. Boolean Algebra, Logic and Quantifiers

    • Ovidiu Bagdasar
    Pages 27-33
  6. Normal Forms, Proof and Argument

    • Ovidiu Bagdasar
    Pages 35-43
  7. Vectors and Complex Numbers

    • Ovidiu Bagdasar
    Pages 45-54
  8. Matrices and Applications

    • Ovidiu Bagdasar
    Pages 55-63
  9. Matrix Applications in Computer Graphics

    • Ovidiu Bagdasar
    Pages 65-72
  10. Elements of Graph Theory

    • Ovidiu Bagdasar
    Pages 73-80
  11. Elements of Number Theory and Cryptography

    • Ovidiu Bagdasar
    Pages 81-88
  12. Elements of Calculus

    • Ovidiu Bagdasar
    Pages 89-94
  13. Elementary Numerical Methods

    • Ovidiu Bagdasar
    Pages 95-104
  14. Back Matter

    Pages 105-109

About this book

Adapted from a modular undergraduate course on computational mathematics, Concise Computer Mathematics delivers an easily accessible, self-contained introduction to the basic notions of mathematics necessary for a computer science degree. The text reflects the need to quickly introduce students from a variety of educational backgrounds to a number of essential mathematical concepts. The material is divided into four units: discrete mathematics (sets, relations, functions), logic (Boolean types, truth tables, proofs), linear algebra (vectors, matrices and graphics), and special topics (graph theory, number theory, basic elements of calculus). The chapters contain a brief theoretical presentation of the topic, followed by a selection of problems (which are direct applications of the theory) and additional supplementary problems (which may require a bit more work). Each chapter ends with answers or worked solutions for all of the problems.

Reviews

From the reviews:

“The book is ideally suited as an adjunct to a course in computer mathematics or as a refresher for someone with some background in computer mathematics. … The book fulfills its purpose of providing a distilled treatment of the mathematics most commonly used in computer science. It is of most value to computer science students who need a place to find a succinct treatment of the topics covered.” (Marlin Thomas, Computing Reviews, April, 2014)

“Each of the chapters opens with a short summary followed by a set of essential problems and then a set of supplementary problems. … it would be very useful for someone that needs a quick and effective review that includes problems.” (Charles Ashbacher, MAA Reviews, January, 2014)

Authors and Affiliations

  • University of Derby, Derby, United Kingdom

    Ovidiu Bagdasar

Bibliographic Information

Buy it now

Buying options

eBook USD 54.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 69.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access