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The Discrete Math Workbook : A Companion Manual Using Python / by Sergei Kurgalin, Sergei Borzunov.

SpringerLink Books Computer Science (2011-2024) Available online

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Format:
Book
Author/Creator:
Kurgalin, Sergei, author.
Borzunov, Sergei, author.
Contributor:
SpringerLink (Online service)
Series:
Computer Science (SpringerNature-11645)
Texts in computer science 1868-0941
Texts in Computer Science, 1868-0941
Language:
English
Subjects (All):
Computer science--Mathematics.
Computer science.
Algorithms.
Discrete mathematics.
Computers.
Discrete Mathematics in Computer Science.
Algorithm Analysis and Problem Complexity.
Discrete Mathematics.
The Computing Profession.
Local Subjects:
Discrete Mathematics in Computer Science.
Algorithm Analysis and Problem Complexity.
Discrete Mathematics.
The Computing Profession.
Physical Description:
1 online resource (XVII, 500 pages) : 333 illustrations, 19 illustrations in color.
Edition:
Second edition 2020.
Contained In:
Springer Nature eBook
Place of Publication:
Cham : Springer International Publishing : Imprint: Springer, 2020.
System Details:
text file PDF
Summary:
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 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 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.
Contents:
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.
Other Format:
Printed edition:
ISBN:
978-3-030-42221-9
9783030422219
Access Restriction:
Restricted for use by site license.

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