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  • © 2018

The Discrete Math Workbook

A Companion Manual for Practical Study

  • Presents a hands-on, classroom-tested study guide suitable for laboratory practical training and self-study
  • Provides an extensive set of exercises and examples of different levels of complexity
  • Offers detailed solutions to many problems, applying commonly-used methods and computational schemes

Part of the book series: Texts in Computer Science (TCS)

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Table of contents (13 chapters)

  1. Front Matter

    Pages i-xiii
  2. Fundamentals of Mathematical Logic

    • Sergei Kurgalin, Sergei Borzunov
    Pages 1-62
  3. Set Theory

    • Sergei Kurgalin, Sergei Borzunov
    Pages 63-101
  4. Relations and Functions

    • Sergei Kurgalin, Sergei Borzunov
    Pages 103-139
  5. Combinatorics

    • Sergei Kurgalin, Sergei Borzunov
    Pages 141-171
  6. Graphs

    • Sergei Kurgalin, Sergei Borzunov
    Pages 173-207
  7. Boolean Algebra

    • Sergei Kurgalin, Sergei Borzunov
    Pages 209-243
  8. Complex Numbers

    • Sergei Kurgalin, Sergei Borzunov
    Pages 245-271
  9. Recurrence Relations

    • Sergei Kurgalin, Sergei Borzunov
    Pages 273-327
  10. Concept of an Algorithm. Correctness of Algorithms

    • Sergei Kurgalin, Sergei Borzunov
    Pages 329-338
  11. Turing Machine

    • Sergei Kurgalin, Sergei Borzunov
    Pages 339-350
  12. Asymptotic Analysis

    • Sergei Kurgalin, Sergei Borzunov
    Pages 351-366
  13. Basic Algorithms

    • Sergei Kurgalin, Sergei Borzunov
    Pages 367-418
  14. Parallel Algorithms

    • Sergei Kurgalin, Sergei Borzunov
    Pages 419-463
  15. Back Matter

    Pages 465-485

About this book

This practically-oriented textbook presents an accessible introduction to discrete mathematics through a substantial collection of classroom-tested exercises. Each chapter opens with concise coverage of the theory underlying the topic, reviewing the basic concepts and establishing the terminology, as well as providing the key formulae and instructions on their use. This is then followed by a detailed account of the most common problems in the area, before the reader is invited to practice solving such problems for themselves through a varied series of questions and assignments.

Topics and features: provides an extensive set of exercises and examples of varying levels of complexity, suitable for both laboratory practical training and self-study; offers detailed solutions to many problems, applying commonly-used methods and computational schemes; introduces the fundamentals of mathematical logic, the theory of algorithms, Boolean algebra, graph theory, sets, relations, functions, and combinatorics; presents more advanced material on the design and analysis of algorithms, including asymptotic analysis, and parallel algorithms; includes reference lists of trigonometric and finite summation formulae in an appendix, together with basic rules for differential and integral calculus.

This hands-on study guide is designed to address the core needs of undergraduate students training in computer science, informatics, and electronic engineering, emphasizing the skills required to develop and implement an algorithm in a specific programming language.

Authors and Affiliations

  • Voronezh State University, Voronezh, Russia

    Sergei Kurgalin, Sergei Borzunov

About the authors

​Dr. Sergei Kurgalin is a Professor and Head of the Department of Digital Technologies at Voronezh State University, Russia.

Dr. Sergei Borzunov is an Associate Professor at the same institution.


Bibliographic Information

Buy it now

Buying options

eBook USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 49.99
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