LEADER 04767nam 2200637 a 450 001 9910781435803321 005 20230126202627.0 010 $a0-19-991315-3 010 $a1-283-42806-7 010 $a9786613428066 010 $a0-19-992108-3 035 $a(CKB)2550000000070091 035 $a(EBL)800836 035 $a(OCoLC)763157773 035 $a(SSID)ssj0000571341 035 $a(PQKBManifestationID)12273915 035 $a(PQKBTitleCode)TC0000571341 035 $a(PQKBWorkID)10618020 035 $a(PQKB)11431548 035 $a(MiAaPQ)EBC800836 035 $a(Au-PeEL)EBL800836 035 $a(CaPaEBR)ebr10520353 035 $a(CaONFJC)MIL342806 035 $a(EXLCZ)992550000000070091 100 $a20110127d2011 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aTaking sudoku seriously$b[electronic resource] $ethe math behind the world's most popular pencil puzzle /$fJason Rosenhouse and Laura Taalman 210 $aOxford ;$aNew York $cOxford University Press$dc2011 215 $a1 online resource (227 p.) 300 $aDescription based upon print version of record. 311 $a0-19-975656-2 320 $aIncludes bibliographical references and index. 327 $aCover; 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? 327 $a3.2 Euler's Greco-Latin Square Conjecture3.3 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 327 $a5.4 Why the Natural Approach Fails5.5 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 327 $a8. Polynomials: We Finally Found a Use for Algebra8.1 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 327 $aFG; H; I; J; K; L; M; N; O; P; Q; R; S; T; U; V; W; Y; Z 330 $aPacked with more than a hundred color illustrations and a wide variety of puzzles and brainteasers, Taking Sudoku Seriously uses this popular craze as the starting point for a fun-filled introduction to higher mathematics. How many Sudoku solution squares are there? What shapes other than three-by-three blocks can serve as acceptable Sudoku regions? What is the fewest number of starting clues a sound Sudoku puzzle can have? Does solving Sudoku require mathematics? Jason Rosenhouse and Laura Taalman show that answering these questions opens the door to a wealth of interesting mathematics. Indee 606 $aSudoku 606 $aMathematics$xSocial aspects 615 0$aSudoku. 615 0$aMathematics$xSocial aspects. 676 $a793.74 700 $aRosenhouse$b Jason$01463141 701 $aTaalman$b Laura$01463142 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910781435803321 996 $aTaking sudoku seriously$93672361 997 $aUNINA