Overview
- 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
Part of the book series: Problem Books in Mathematics (PBM)
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Table of contents (14 chapters)
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Front Matter
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Back Matter
Keywords
About this book
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.
Authors and Affiliations
About the author
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).
Bibliographic Information
Book Title: Combinatorics
Book Subtitle: A Problem-Based Approach
Authors: Pavle Mladenović
Series Title: Problem Books in Mathematics
DOI: https://doi.org/10.1007/978-3-030-00831-4
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2019
Hardcover ISBN: 978-3-030-00830-7Published: 21 March 2019
eBook ISBN: 978-3-030-00831-4Published: 13 March 2019
Series ISSN: 0941-3502
Series E-ISSN: 2197-8506
Edition Number: 1
Number of Pages: X, 365
Number of Illustrations: 98 b/w illustrations
Topics: Combinatorics, Graph Theory