Advertisement

Combinatorics

A Problem-Based Approach

  • Pavle Mladenović
Textbook

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

Table of contents

  1. Front Matter
    Pages I-X
  2. Pavle Mladenović
    Pages 1-8
  3. Pavle Mladenović
    Pages 9-34
  4. Pavle Mladenović
    Pages 35-48
  5. Pavle Mladenović
    Pages 49-62
  6. Pavle Mladenović
    Pages 63-74
  7. Pavle Mladenović
    Pages 75-90
  8. Pavle Mladenović
    Pages 91-106
  9. Pavle Mladenović
    Pages 107-125
  10. Pavle Mladenović
    Pages 127-140
  11. Pavle Mladenović
    Pages 141-164
  12. Pavle Mladenović
    Pages 165-176
  13. Pavle Mladenović
    Pages 177-197
  14. Pavle Mladenović
    Pages 199-219
  15. Pavle Mladenović
    Pages 221-358
  16. Back Matter
    Pages 359-365

About this book

Introduction

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.

Keywords

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

Authors and affiliations

  • Pavle Mladenović
    • 1
  1. 1.Faculty of MathematicsUniversity of BelgradeBelgradeSerbia

Bibliographic information

  • 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
Industry Sectors
Pharma
Finance, Business & Banking
Electronics
IT & Software
Telecommunications