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Author Rosenhouse, Jason
Title Taking Sudoku Seriously : The Math Behind the World's Most Popular Pencil Puzzle
Imprint New York : Oxford University Press, Incorporated, 2012
©2012
book jacket
Descript 1 online resource (227 pages)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
Note Cover -- Contents -- Preface -- 1. Playing the Game: Mathematics as Applied Puzzle-Solving -- 1.1 Mathematics and Puzzles -- 1.2 Forced Cells -- 1.3 Twins -- 1.4 X-Wings -- 1.5 Ariadne's Thread -- 1.6 Are We Doing Math Yet? -- 1.7 Triplets, Swordfish, and the Art of Generalization -- 1.8 Starting Over Again -- 2. Latin Squares: What Do Mathematicians Do? -- 2.1 Do Latin Squares Exist? -- 2.2 Constructing Latin Squares of Any Size -- 2.3 Shifting and Divisibility -- 2.4 Jumping in the River -- 3. Greco-Latin Squares: The Problem of the Thirty-Six Officers -- 3.1 Do Greco-Latin Squares Exist? -- 3.2 Euler's Greco-Latin Square Conjecture -- 3.3 Mutually Orthogonal Gerechte Designs -- 3.4 Mutually Orthogonal Sudoku Squares -- 3.5 Who Cares? -- 4. Counting: It's Harder than It Looks -- 4.1 How to Count -- 4.2 Counting Shidoku Squares -- 4.3 How Many Sudoku Squares Are There? -- 4.4 Estimating the Number of Sudoku Squares -- 4.5 From Two Million to Forty-Four -- 4.6 Enter the Computer -- 4.7 A Note on Problem-Solving -- 5. Equivalence Classes: The Importance of Being Essentially Identical -- 5.1 They Might as Well Be the Same -- 5.2 Transformations Preserving Sudokuness -- 5.3 Equivalent Shidoku Squares -- 5.4 Why the Natural Approach Fails -- 5.5 Groups -- 5.6 Burnside's Lemma -- 5.7 Bringing It Home -- 6. Searching: The Art of Finding Needles in Haystacks -- 6.1 The Sudoku Stork -- 6.2 A Stork with GPS -- 6.3 How to Search -- 6.4 Searching for Eighteen-Clue Sudoku -- 6.5 Measuring Difficulty -- 6.6 Ease and Interest Are Inversely Correlated -- 6.7 Sudoku with an Extra Something -- 7. Graphs: Dots, Lines, and Sudoku -- 7.1 A Physics Lesson -- 7.2 Two Mathematical Examples -- 7.3 Sudoku as a Problem in Graph Coloring -- 7.4 The Four-Color Theorem -- 7.5 Many Roads to Rome -- 7.6 Book Embeddings -- 8. Polynomials: We Finally Found a Use for Algebra
8.1 Sums and Products -- 8.2 The Perils of Generalization -- 8.3 Complex Polynomials -- 8.4 The Rise of Experimental Mathematics -- 9. Extremes: Sudoku Pushed to Its Limits -- 9.1 The Joys of Going to Extremes -- 9.2 Maximal Numbers of Clues -- 9.3 Three Amusing Extremes -- 9.4 The Rock Star Problem -- 9.5 Is There "Evidence" in Mathematics? -- 9.6 Sudoku Is Math in the Small -- 10. Epilogue: You Can Never Have Too Many Puzzles -- 10.1 Extra Regions -- 10.2 Adding Value -- 10.3 Comparison Sudoku -- 10.4 …And Beyond -- Solutions to Puzzles -- Bibliography -- Index -- A -- B -- C -- D -- E -- F -- G -- H -- I -- J -- K -- L -- M -- N -- O -- P -- Q -- R -- S -- T -- U -- V -- W -- Y -- Z
Although solving Sudoku puzzles does not directly involve arithmetic, Sudoku is all about mathematics. This book will give readers a deeper understanding of the inner workings of Sudoku and how it connects to the larger world of mathematics
Description based on publisher supplied metadata and other sources
Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2020. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries
Link Print version: Rosenhouse, Jason Taking Sudoku Seriously : The Math Behind the World's Most Popular Pencil Puzzle New York : Oxford University Press, Incorporated,c2012 9780199756568
Subject Sudoku.;Mathematics -- Social aspects
Electronic books
Alt Author Taalman, Laura
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