Taking sudoku seriously :: the math behind the world's most popular pencil puzzle /
Packed 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-t...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Oxford ; New York :
Oxford University Press,
©2011.
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | Packed 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. |
| Beschreibung: | 1 online resource (xii, 214 pages) : illustrations |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 9780199921089 0199921083 1283428067 9781283428064 9786613428066 661342806X 0199913153 9780199913152 |
Internformat
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| 100 | 1 | |a Rosenhouse, Jason, |e author |4 http://id.loc.gov/vocabulary/relators/aut |0 http://id.loc.gov/authorities/names/n2009004964 |1 https://www.wikidata.org/wiki/Q15429119 | |
| 245 | 1 | 0 | |a Taking sudoku seriously : |b the math behind the world's most popular pencil puzzle / |c Jason Rosenhouse and Laura Taalman. |
| 260 | |a Oxford ; |a New York : |b Oxford University Press, |c ©2011. | ||
| 300 | |a 1 online resource (xii, 214 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a data file |2 rda | ||
| 504 | |a Includes bibliographical references and index. | ||
| 505 | 0 | |a 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? | |
| 505 | 8 | |a 3.2 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. | |
| 505 | 8 | |a 5.4 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. | |
| 505 | 8 | |a 8. 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. | |
| 505 | 8 | |a Fg; h; i; j; k; l; m; n; o; p; q; r; s; t; u; v; w; y; z. | |
| 520 | |a Packed 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. | ||
| 546 | |a Text in English. | ||
| 650 | 0 | |a Sudoku. |0 http://id.loc.gov/authorities/subjects/sh2005003630 | |
| 650 | 0 | |a Mathematics |x Social aspects. |0 http://id.loc.gov/authorities/subjects/sh2021006792 | |
| 650 | 6 | |a Sudoku. | |
| 650 | 7 | |a GAMES |x Sudoku. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Recreations & Games. |2 bisacsh | |
| 650 | 7 | |a Mathematics |x Social aspects |2 fast | |
| 650 | 7 | |a Sudoku |2 fast | |
| 650 | 7 | |a Sudoku |2 gnd |0 http://d-nb.info/gnd/4843708-6 | |
| 650 | 7 | |a Mathematik |2 gnd | |
| 655 | 7 | |a dissertations. |2 aat | |
| 655 | 7 | |a Academic theses |2 fast | |
| 655 | 7 | |a Academic theses. |2 lcgft |0 http://id.loc.gov/authorities/genreForms/gf2014026039 | |
| 655 | 7 | |a Thèses et écrits académiques. |2 rvmgf | |
| 700 | 1 | |a Taalman, Laura, |e author |4 http://id.loc.gov/vocabulary/relators/aut |0 http://id.loc.gov/authorities/names/n2005009852 |1 https://www.wikidata.org/wiki/Q53478512 |1 https://orcid.org/0000-0002-8325-8140 | |
| 758 | |i has work: |a Taking sudoku seriously (Text) |1 https://id.oclc.org/worldcat/entity/E39PCG49JkHhMp9Y9cfgdvK7xP |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Rosenhouse, Jason. |t Taking sudoku seriously. |d Oxford ; New York : Oxford University Press, ©2011 |w (DLC) 2011003188 |
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Datensatz im Suchindex
| DE-BY-FWS_katkey | ZDB-4-EBA-ocn774293834 |
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| adam_text | |
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| author | Rosenhouse, Jason Taalman, Laura |
| author_GND | http://id.loc.gov/authorities/names/n2009004964 http://id.loc.gov/authorities/names/n2005009852 |
| author_facet | Rosenhouse, Jason Taalman, Laura |
| author_role | aut aut |
| author_sort | Rosenhouse, Jason |
| author_variant | j r jr l t lt |
| building | Verbundindex |
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| callnumber-sort | GV 41507 S83 R67 42011EB |
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| collection | ZDB-4-EBA |
| contents | 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 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. 5.4 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. 8. 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. Fg; h; i; j; k; l; m; n; o; p; q; r; s; t; u; v; w; y; z. |
| ctrlnum | (OCoLC)774293834 |
| dewey-full | 793.74 |
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| dewey-ones | 793 - Indoor games and amusements |
| dewey-raw | 793.74 |
| dewey-search | 793.74 |
| dewey-sort | 3793.74 |
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| discipline | Sport |
| format | Electronic eBook |
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| illustrated | Illustrated |
| indexdate | 2024-11-27T13:18:13Z |
| institution | BVB |
| isbn | 9780199921089 0199921083 1283428067 9781283428064 9786613428066 661342806X 0199913153 9780199913152 |
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| spelling | Rosenhouse, Jason, author http://id.loc.gov/vocabulary/relators/aut http://id.loc.gov/authorities/names/n2009004964 https://www.wikidata.org/wiki/Q15429119 Taking sudoku seriously : the math behind the world's most popular pencil puzzle / Jason Rosenhouse and Laura Taalman. Oxford ; New York : Oxford University Press, ©2011. 1 online resource (xii, 214 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier data file rda Includes bibliographical references and index. 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 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. 5.4 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. 8. 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. Fg; h; i; j; k; l; m; n; o; p; q; r; s; t; u; v; w; y; z. Packed 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. Text in English. Sudoku. http://id.loc.gov/authorities/subjects/sh2005003630 Mathematics Social aspects. http://id.loc.gov/authorities/subjects/sh2021006792 Sudoku. GAMES Sudoku. bisacsh MATHEMATICS Recreations & Games. bisacsh Mathematics Social aspects fast Sudoku fast Sudoku gnd http://d-nb.info/gnd/4843708-6 Mathematik gnd dissertations. aat Academic theses fast Academic theses. lcgft http://id.loc.gov/authorities/genreForms/gf2014026039 Thèses et écrits académiques. rvmgf Taalman, Laura, author http://id.loc.gov/vocabulary/relators/aut http://id.loc.gov/authorities/names/n2005009852 https://www.wikidata.org/wiki/Q53478512 https://orcid.org/0000-0002-8325-8140 has work: Taking sudoku seriously (Text) https://id.oclc.org/worldcat/entity/E39PCG49JkHhMp9Y9cfgdvK7xP https://id.oclc.org/worldcat/ontology/hasWork Print version: Rosenhouse, Jason. Taking sudoku seriously. Oxford ; New York : Oxford University Press, ©2011 (DLC) 2011003188 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=414056 Volltext |
| spellingShingle | Rosenhouse, Jason Taalman, Laura Taking sudoku seriously : the math behind the world's most popular pencil puzzle / 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 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. 5.4 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. 8. 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. Fg; h; i; j; k; l; m; n; o; p; q; r; s; t; u; v; w; y; z. Sudoku. http://id.loc.gov/authorities/subjects/sh2005003630 Mathematics Social aspects. http://id.loc.gov/authorities/subjects/sh2021006792 Sudoku. GAMES Sudoku. bisacsh MATHEMATICS Recreations & Games. bisacsh Mathematics Social aspects fast Sudoku fast Sudoku gnd http://d-nb.info/gnd/4843708-6 Mathematik gnd |
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| title | Taking sudoku seriously : the math behind the world's most popular pencil puzzle / |
| title_auth | Taking sudoku seriously : the math behind the world's most popular pencil puzzle / |
| title_exact_search | Taking sudoku seriously : the math behind the world's most popular pencil puzzle / |
| title_full | Taking sudoku seriously : the math behind the world's most popular pencil puzzle / Jason Rosenhouse and Laura Taalman. |
| title_fullStr | Taking sudoku seriously : the math behind the world's most popular pencil puzzle / Jason Rosenhouse and Laura Taalman. |
| title_full_unstemmed | Taking sudoku seriously : the math behind the world's most popular pencil puzzle / Jason Rosenhouse and Laura Taalman. |
| title_short | Taking sudoku seriously : |
| title_sort | taking sudoku seriously the math behind the world s most popular pencil puzzle |
| title_sub | the math behind the world's most popular pencil puzzle / |
| topic | Sudoku. http://id.loc.gov/authorities/subjects/sh2005003630 Mathematics Social aspects. http://id.loc.gov/authorities/subjects/sh2021006792 Sudoku. GAMES Sudoku. bisacsh MATHEMATICS Recreations & Games. bisacsh Mathematics Social aspects fast Sudoku fast Sudoku gnd http://d-nb.info/gnd/4843708-6 Mathematik gnd |
| topic_facet | Sudoku. Mathematics Social aspects. GAMES Sudoku. MATHEMATICS Recreations & Games. Mathematics Social aspects Sudoku Mathematik dissertations. Academic theses Academic theses. Thèses et écrits académiques. |
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