Combinatorics: A Problem-Based Approach (Problem Books in Mathematics) - Hardcover

Mladenović, Pavle

Hardcover

ISBN 10: 3030008304 ISBN 13: 9783030008307

Verlag: Springer, 2019

Inhaltsangabe

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 diesen Titel

Über die Autorin bzw. den Autor

Pavle Mladenović 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).

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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.

Details zur Ausgabe

• Verlag: Springer
• Erscheinungsdatum: 2019
• Sprache: Englisch
• ISBN 10: 3030008304
• ISBN 13: 9783030008307
• Einband: Gebundene Ausgabe
• Auflage: 1
• Anzahl der Seiten: 375
• Kontakt zum Hersteller: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3; Heidelberg; 69115; Deutschland