Pavle Mladenovi¿: Combinatorics | Buch

Cover: 9783030008307 | Combinatorics | A Problem-Based Approach | Pavle Mladenovi¿ | Buch | x

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Sprache: Englisch

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Beschreibung

This text provides a theoretical background for several topics in combinatorial mathematics, such as enumerative combinatorics (including partitions and Burnside's lemma), magic and Latin squares, graph theory, extremal combinatorics, mathematical games and elementary probability. A number of examples are given with explanations while the book also provides more than 300 exercises of different levels of difficulty that are arranged at the end of each chapter, and more than 130 additional challenging problems, including problems from mathematical olympiads. Solutions or hints to all exercises and problems are included. The book can be used by secondary school students preparing for mathematical competitions, by their instructors, and by undergraduate students. The book may also be useful for graduate students and for researchers that apply combinatorial methods in different areas.

Über den Autor

Pavle Mladenovi¿ is a professor at the Faculty of Mathematics of the University of Belgrade, Serbia, with research interests in probability theory and stochastic processes.

He was involved in organizing national mathematical competitions and was leader of the team of FR Yugoslavia first at the Balkan Mathematical Olympiad (1992-1996) and then at the International Mathematical Olympiad (1997-2001).

Zusammenfassung

Includes more than 300 exercises

Useful for graduate students and for researchers that apply combinatorial methods in different areas and levels of difficulty

Provides a theoretical background for several topics in combinatorial mathematics

Inhaltsverzeichnis

Chapter 1- Arrangements, Permutations, and Combinations.- Chapter 2- Binomial and Multinomial Theorems.- Chapter 3- Inclusion-Exclusion Principle.- Chapter 4- Generating Functions.- Chapter 5- Partitions.- Chapter 6- Burnside's Lemma.- Chapter 7- Graph Theory: Part 1.- Chapter 8- Graph Theory: Part 2.- Chapter 9- Existence of Combinatorial Congurations.- Chapter 10- Mathematical Games.- Chapter 11- Elementary Probability.- Chapter 12- Additional Problems.- Solutions to Exercises and Problems.- References.- Index.

Details

Erscheinungsjahr:	2019
Fachbereich:	Allgemeines
Genre:	Mathematik , Medizin , Naturwissenschaften , Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Inhalt:	x 365 S. 98 s/w Illustr. 365 p. 98 illus.
ISBN-13:	9783030008307
ISBN-10:	3030008304
Sprache:	Englisch
Herstellernummer:	978-3-030-00830-7
Einband:	Gebunden
Autor:	Mladenovi¿, Pavle
Auflage:	1st edition 2019
Hersteller:	Springer International Publishing
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	241 x 160 x 26 mm
Von/Mit:	Pavle Mladenovi¿
Erscheinungsdatum:	21.03.2019
Gewicht:	0,729 kg