2019 | Book
Combinatorics
A Problem-Based Approach
Book Series: Problem Books in Mathematics
Author: Dr. Pavle Mladenović
Publisher: Springer International Publishing
Print ISBN: 978-3-030-00830-7
Electronic ISBN: 978-3-030-00831-4
2019 | Book
Book Series: Problem Books in Mathematics
Author: Dr. Pavle Mladenović
Publisher: Springer International Publishing
Print ISBN: 978-3-030-00830-7
Electronic ISBN: 978-3-030-00831-4
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.