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

Combinatorics: A Problem-Based Approach (Problem Books in Mathematics) By Pavle Mladenovic Cover Image
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Description


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.


About the Author


Pavle Mladenovic 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).
Product Details
ISBN: 9783030008307
ISBN-10: 3030008304
Publisher: Springer
Publication Date: March 21st, 2019
Pages: 365
Language: English
Series: Problem Books in Mathematics