Combinatorics: A Very Short Introduction

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Robin Wilson (Emeritus professor in the Department of Mathematics at the Open University)

Combinatorics

A Very Short Introduction

Robin Wilson (Emeritus professor in the Department of Mathematics at the Open University)

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English

Oxford University Press
12 May 2016

Mathematics & Sciences; Discrete mathematics; Combinatorics & graph theory

Series: Very Short Introductions

How many possible sudoku puzzles are there? In the lottery, what is the chance that two winning balls have consecutive numbers? Who invented Pascal's triangle? (it was not Pascal) Combinatorics, the branch of mathematics concerned with selecting, arranging, and listing or counting collections of objects, works to answer all these questions. Dating back some 3000 years, and initially consisting mainly of the study of permutations and combinations, its scope has broadened to include topics such as graph theory, partitions of numbers, block designs, design of codes, and latin squares. In this Very Short Introduction Robin Wilson gives an overview of the field and its applications in mathematics and computer theory, considering problems from the shortest routes covering certain stops to the minimum number of colours needed to colour a map with different colours for neighbouring countries.

By: Robin Wilson (Emeritus professor in the Department of Mathematics at the Open University)
Imprint: Oxford University Press
Country of Publication: United Kingdom
Dimensions: Height: 174mm, Width: 114mm, Spine: 9mm
Weight: 158g
ISBN: 9780198723493
ISBN 10: 0198723490
Series: Very Short Introductions
Publication Date: 12 May 2016
Audience: General/trade , ELT Advanced
Format: Paperback
Publisher's Status: Active

1: What is combinatorics? 2: Four types of problem 3: Permutations and combinations 4: A combinatorial zoo 5: Tilings and polyhedra 6: Graphs 7: Square arrays 8: Designs and geometry 9: Partitions Further Reading Index

Reviews for Combinatorics: A Very Short Introduction

Clear and beautifully written ... this book is much more than a simple introduction ... [Its] great strength is that while examining a number of important concepts in detail, the author does so ... without using complicated abstract formulae. * Mathematics Today *