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First Concepts

In: Problem-Solving Methods in Combinatorics

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  • Pablo Soberón

    (University College London, Department of Mathematics)

Abstract

This chapter deals with the basic results needed to solve combinatorics problems. We start with set-theoretic definitions and constructions, and then carry on with the most important results needed to start working in combinatorics. Then, stronger solving-problems methods are presented, such as induction, the principle of inclusion-exclusion and the use of delimiters. Throughout the whole chapter there are examples of problems solved with the methods at hand. Even though this is an introductory chapter, we show how using only these methods we are able to solve problems that appeared in international mathematical competitions. At the end of the chapter, a list of 14 problems is given where the reader may practice.

Suggested Citation

  • Pablo Soberón, 2013. "First Concepts," Springer Books, in: Problem-Solving Methods in Combinatorics, edition 127, chapter 1, pages 1-16, Springer.
    • Handle: RePEc:spr:sprchp:978-3-0348-0597-1_1
    DOI: 10.1007/978-3-0348-0597-1_1
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