This practically-focused study guide introduces the fundamentals of discrete mathematics through an extensive set of classroom-tested problems. Each chapter presents a concise introduction to the relevant theory, followed by a detailed account of common challenges and methods for overcoming these. The reader is then encouraged to practice solving such problems for themselves, by tackling a varied selection of questions and assignments of different levels of complexity.

This updated second edition now covers the design and analysis of algorithms using Python, and features more than 50 new problems, complete with solutions.

Topics and features:

• Provides a substantial collection of problems and examples of varying levels of difficulty, suitable for both laboratory practical training and self-study
• Offers detailed solutions to each problem, applying commonly-used methods and computational schemes
• Introducesthe 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 Turing machines, 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 workbook is an invaluable resource for undergraduate students of computer science, informatics, and electronic engineering. Suitable for use in a one- or two-semester course on discrete mathematics, the text emphasizes the skills required to develop and implement an algorithm in a specific programming language. 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.

Autorentext

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.

Inhalt

Fundamentals of Mathematical Logic

Set Theory

Relations and Functions

Combinatorics

Graphs

Boolean Algebra

Complex Numbers

Recurrence Relations

Concept of an Algorithm, Correctness of Algorithms

Turing Machine

Asymptotic Analysis

Basic Algorithms

Parallel Algorithms