The Discrete Math Workbook: A Companion Manual for Practical Study

Description

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 each problem, 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. 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.  Read more... Abstract: 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 each problem, 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. 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 Content: 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.