| title : |
Discrete Mathematics : A Concise Introduction |
| Type de document : |
printed text |
| Auteur : |
George Tourlakis, Author |
| Editeur : |
switzerland : Springer |
| Date de publication : |
2024 |
| Nombre de pages : |
253p. |
| Dimensions : |
25*17 |
| ISBN (ou autre code) : |
978-3-031-30487-3 |
| Langue : |
English (eng) Langue originale : English (eng) |
| Indexation : |
mth |
| Résumé : |
This book is ideal for a first or second year discrete mathematics course for mathematics, engineeri ng, and computer science majors. The author has extensively class-tested early conceptions of the book over the years and supplements mathematical arguments with informal discussions to aid readers in understanding the presented topics. “Safe” – that is, paradox-free – informal set theory is introduced following on the heels of Russell’s Paradox as well as the topics of finite, countable, and uncountable sets with an exposition and use of Cantor’s diagonalisation technique. Predicate logic “for the user” is introduced along with axioms and rules and extensive examples. Partial orders and the minimal condition are studied in detail with the latter shown to be equivalent to the induction principle. Mathematical induction is illustrated with several examples and is followed by a thorough exposition of inductive definitions of functions and sets. Techniques for solving recurrence relations including generating functions, the O- and o-notations, and trees are provided. Over 200 end of chapter exercises are included to further aid in the understanding and applications of discrete mathematics. |
| Lien vers la ressource électronique : |
http://opac.centre-univ-mila.dz/z//510-294-1.pdf |
Discrete Mathematics : A Concise Introduction [printed text] / George Tourlakis, Author . - switzerland : Springer, 2024 . - 253p. ; 25*17. ISBN : 978-3-031-30487-3 Langue : English ( eng) Langue originale : English ( eng)
| Indexation : |
mth |
| Résumé : |
This book is ideal for a first or second year discrete mathematics course for mathematics, engineeri ng, and computer science majors. The author has extensively class-tested early conceptions of the book over the years and supplements mathematical arguments with informal discussions to aid readers in understanding the presented topics. “Safe” – that is, paradox-free – informal set theory is introduced following on the heels of Russell’s Paradox as well as the topics of finite, countable, and uncountable sets with an exposition and use of Cantor’s diagonalisation technique. Predicate logic “for the user” is introduced along with axioms and rules and extensive examples. Partial orders and the minimal condition are studied in detail with the latter shown to be equivalent to the induction principle. Mathematical induction is illustrated with several examples and is followed by a thorough exposition of inductive definitions of functions and sets. Techniques for solving recurrence relations including generating functions, the O- and o-notations, and trees are provided. Over 200 end of chapter exercises are included to further aid in the understanding and applications of discrete mathematics. |
| Lien vers la ressource électronique : |
http://opac.centre-univ-mila.dz/z//510-294-1.pdf |
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