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Discrete Mathematics and Graph Theory
A Concise Study Companion and Guide
Taschenbuch von K. Erciyes
Sprache: Englisch

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Beschreibung
This textbook can serve as a comprehensive manual of discrete mathematics and graph theory for non-Computer Science majors; as a reference and study aid for professionals and researchers who have not taken any discrete math course before. It can also be used as a reference book for a course on Discrete Mathematics in Computer Science or Mathematics curricula.

The study of discrete mathematics is one of the first courses on curricula in various disciplines such as Computer Science, Mathematics and Engineering education practices.

Graphs are key data structures used to represent networks, chemical structures, games etc. and are increasingly used more in various applications such as bioinformatics and the Internet. Graph theory has gone through an unprecedented growth in the last few decades both in terms of theory and implementations; hence it deserves a thorough treatment which is not adequately found in any other contemporary books on discrete mathematics, whereas about 40% of this textbook is devoted to graph theory.

The text follows an algorithmic approach for discrete mathematics and graph problems where applicable, to reinforce learning and to show how to implement the concepts in real-world applications.
This textbook can serve as a comprehensive manual of discrete mathematics and graph theory for non-Computer Science majors; as a reference and study aid for professionals and researchers who have not taken any discrete math course before. It can also be used as a reference book for a course on Discrete Mathematics in Computer Science or Mathematics curricula.

The study of discrete mathematics is one of the first courses on curricula in various disciplines such as Computer Science, Mathematics and Engineering education practices.

Graphs are key data structures used to represent networks, chemical structures, games etc. and are increasingly used more in various applications such as bioinformatics and the Internet. Graph theory has gone through an unprecedented growth in the last few decades both in terms of theory and implementations; hence it deserves a thorough treatment which is not adequately found in any other contemporary books on discrete mathematics, whereas about 40% of this textbook is devoted to graph theory.

The text follows an algorithmic approach for discrete mathematics and graph problems where applicable, to reinforce learning and to show how to implement the concepts in real-world applications.
Über den Autor

Dr. Kayhan Erciyes is a full Professor in the Department of Computer Engineering at Üsküdar University, Istanbul, Turkey. His other publications include the Springer titles Distributed Real-Time Systems, Guide to Graph Algorithms, Distributed and Sequential Algorithms for Bioinformatics, and Distributed Graph Algorithms for Computer Networks.

Zusammenfassung

Provides a detailed, thorough, and comprehensive review of concepts in discrete mathematics and graph theory

Includes an introductory chapter on algorithms, and presents numerous concepts using algorithmic notation, where applicable

Accessible enough to serve as a quick reference even for undergraduate students of disciplines other than computer science

Inhaltsverzeichnis
Preface.- Part I: Fundamentals of Discrete Mathematics.- Logic.- Proofs.- Algorithms.- Set Theory.- Relations and Functions.- Sequences, Induction and Recursion.- Introduction to Number Theory.- Counting and Probability.- Boolean Algebra and Combinational Circuits.- Introduction to the Theory of Computation.- Part II: Graph Theory.- Introduction to Graphs.- Trees and Traversals.- Subgraphs.- Connectivity, Network Flows and Shortest Paths.- Graph Applications.- A:.- Pseudocode Conventions.- Index.
Details
Erscheinungsjahr: 2021
Genre: Informatik, Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: xvi
336 S.
169 s/w Illustr.
336 p. 169 illus.
ISBN-13: 9783030611149
ISBN-10: 3030611140
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Erciyes, K.
Auflage: 1st edition 2021
Hersteller: Springer Nature Switzerland
Springer International Publishing
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 235 x 155 x 20 mm
Von/Mit: K. Erciyes
Erscheinungsdatum: 29.01.2021
Gewicht: 0,534 kg
Artikel-ID: 118937292
Über den Autor

Dr. Kayhan Erciyes is a full Professor in the Department of Computer Engineering at Üsküdar University, Istanbul, Turkey. His other publications include the Springer titles Distributed Real-Time Systems, Guide to Graph Algorithms, Distributed and Sequential Algorithms for Bioinformatics, and Distributed Graph Algorithms for Computer Networks.

Zusammenfassung

Provides a detailed, thorough, and comprehensive review of concepts in discrete mathematics and graph theory

Includes an introductory chapter on algorithms, and presents numerous concepts using algorithmic notation, where applicable

Accessible enough to serve as a quick reference even for undergraduate students of disciplines other than computer science

Inhaltsverzeichnis
Preface.- Part I: Fundamentals of Discrete Mathematics.- Logic.- Proofs.- Algorithms.- Set Theory.- Relations and Functions.- Sequences, Induction and Recursion.- Introduction to Number Theory.- Counting and Probability.- Boolean Algebra and Combinational Circuits.- Introduction to the Theory of Computation.- Part II: Graph Theory.- Introduction to Graphs.- Trees and Traversals.- Subgraphs.- Connectivity, Network Flows and Shortest Paths.- Graph Applications.- A:.- Pseudocode Conventions.- Index.
Details
Erscheinungsjahr: 2021
Genre: Informatik, Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: xvi
336 S.
169 s/w Illustr.
336 p. 169 illus.
ISBN-13: 9783030611149
ISBN-10: 3030611140
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Erciyes, K.
Auflage: 1st edition 2021
Hersteller: Springer Nature Switzerland
Springer International Publishing
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 235 x 155 x 20 mm
Von/Mit: K. Erciyes
Erscheinungsdatum: 29.01.2021
Gewicht: 0,534 kg
Artikel-ID: 118937292
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