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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 Pocket-sized 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.
How does the field of combinatorics provide the mathematical framework for counting, arranging, and selecting objects within complex systems? Robin James Wilson, a distinguished mathematician and historian of mathematics, utilizes his extensive academic background to distill the history and practical applications of combinatorics. He presents the field as a foundational pillar of modern mathematics and computer theory, tracing its evolution from ancient counting problems to contemporary challenges in graph theory and design.
What You Will Find
Scope Limits
Experts and educators recognize this text as a highly accessible entry point for students and laypeople interested in discrete mathematics. Readers frequently note that the prose is concise and effectively balances historical context with clear, illustrative examples.
Page Count:
144
Publication Date:
2016-01-01
Publisher:
Oxford University Press
ISBN-10:
0191035246
ISBN-13:
9780191035241
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