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Combinatorics: A Very Short Introduction
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Mathematics Today 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.
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Professor Robin Wilson taught at the Open University for many years, and was in charge of the team writing course materials on Combinatorics. He has taught mathematics at several Oxford colleges and was Gresham Professor of Geometry, giving regular lectures to the general public. He is currently President of the British Society for the History of Mathematics. He is a well-established author and has written or edited over 40 books, including Combinatorics: Ancient and Modern (OUP, 2013), co-authored with John J. Watkins. His textbook, Introduction to Graph Theory (prentice Hall, 2010), is in its 5th edition.
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