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. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocketsized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.
About Robin Wilson
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 wellestablished author and has written or edited over 40 books, including Combinatorics: Ancient and Modern (OUP, 2013), coauthored with John J. Watkins. His textbook, Introduction to Graph Theory (prentice Hall, 2010), is in its 5th edition.Details Book
Author  :  Robin Wilson 
Publisher  :  Oxford University Press 
Data Published  :  
ISBN  :  0198723490 
EAN  :  9780198723493 
Format Book  :  PDF, Epub, DOCx, TXT 
Number of Pages  :  152 pages 
Age +  :  15 years 
Language  :  English 
Rating  : 
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