Problem-Solving Methods in Combinatorics

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Sprache: Englisch

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Beschreibung

Every year there is at least one combinatorics problem in each of the major international mathematical olympiads. These problems can only be solved with a very high level of wit and creativity. This book explains all the problem-solving techniques necessary to tackle these problems, with clear examples from recent contests. It also includes a large problem section for each topic, including hints and full solutions so that the reader can practice the material covered in the book.¿ The material will be useful not only to participants in the olympiads and their coaches but also in university courses on combinatorics.

Über den Autor

Pablo Soberón (born 1988) is the first Mexican to obtain a gold medal in the International Mathematical Olympiad. After participating in mathematical olympiads, he has also trained Mexican teams for various international mathematical contests. He currently does research in discrete geometry at University College London and enjoys olympiad problem-solving in his free time.

Zusammenfassung

Explains the tools necessary tools to solve olympiad combinatorics type problems, using clear examples from recent contests

Includes over 120 problems with hints and full, sometimes multiple, solutions

May be used by olympiad students and coaches but is also useful for university courses on combinatorics

Almost completely self-contained, requiring very little technical knowledge

Includes supplementary material: [...]

Inhaltsverzeichnis

Introduction.- 1 First concepts.- 2 The pigeonhole principle.- 3 Invariants.- 4 Graph theory.- 5 Functions.- 6 Generating Functions.- 7 Partitions.- 8 Hints for the problems.- 9 Solutions to the problems.- Notation.- Further reading.- Index. ¿

Details

Erscheinungsjahr:	2013
Fachbereich:	Wahrscheinlichkeitstheorie
Genre:	Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Inhalt:	ix 174 S. 55 s/w Illustr. 10 farbige Illustr. 174 p. 65 illus. 10 illus. in color.
ISBN-13:	9783034805964
ISBN-10:	3034805969
Sprache:	Englisch
Herstellernummer:	86190819
Ausstattung / Beilage:	Paperback
Einband:	Kartoniert / Broschiert
Autor:	Soberón, Pablo
Hersteller:	Springer Basel Springer Basel AG
Maße:	240 x 168 x 11 mm
Von/Mit:	Pablo Soberón
Erscheinungsdatum:	05.04.2013
Gewicht:	0,32 kg

Artikel-ID: 106028795