# Combinatorics

## A Problem-Based Approach

Part of the Problem Books in Mathematics book series (PBM)

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Textbook

Part of the Problem Books in Mathematics book series (PBM)

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.

enumerative combinatorics designs and configurations graph theory extremal combinatorics mathematical games mathematical Olympiads combinatorial mathematics magic and latin squares elementary probability multinomial theorems

- DOI https://doi.org/10.1007/978-3-030-00831-4
- Copyright Information Springer Nature Switzerland AG 2019
- Publisher Name Springer, Cham
- eBook Packages Mathematics and Statistics
- Print ISBN 978-3-030-00830-7
- Online ISBN 978-3-030-00831-4
- Series Print ISSN 0941-3502
- Series Online ISSN 2197-8506
- Buy this book on publisher's site

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