A fascinating look at the mathematics behind games such as checkers, chess, Go, Nim, and Nine-Men Morris.Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
Part I. All Games Bright and Beautiful: 1. The angel problem John H. Conway 2. Scenic trails ascending from sea-level Nim to Alpine chess Aviezri Fraenkel 3. What is a game? Richard K. Guy 4. Impartial games Richard K. Guy 5. Championship-level play of dots-and-boxes Julian West 6. Championship-level play of domineering Julian West 7. The gamesman's toolkit David Wolfe Part II. Strides on Classical Ground: 8. Solving Nine Men's Morris Ralph Gasser 9. Marion Tinsley: human perfection at checkers? Jonathan Schaeffer 10. Solving the game of checkers Jonathan Schaeffer and Robert Lake 11. On numbers and endgames: combinatorial game theory in chess endgames Noam D. Elkies 12. Multilinear algebra and chess endgames Lewis Stiller 13. Using similar positions to search game trees Yasuhito Kawano 14. Where is the 'Thousand-Dollar Ko'? Elwyn Berlekamp and Yonghoan Kim 15. Eyespace values in Go Howard A. Landman 16. Loopy games and Go David Moews 17. Experiments in computer Go endgames Martin Müller and Ralph Gasser Part III. Taming the Menagerie: 18. Sowing games Jeff Erickson 19. New toads and frogs results Jeff Erickson 20. X-dom: a graphical, x-based front-end for domineering Dan Garcia 21. Infinitesimals and coin-sliding David Moews 22. Geography played on products of directed cycles Richard J. Nowakowski and David G. Poole 23. Pentominoes: a first player win Hilarie K. Orman 24. New values for top entails Julian West 25. Take-away games Michael Zieve Part IV. New Theoretical Vistas: 26. The economist's view of combinatorial games Elwyn Berlekamp 27. Games with infinitely many moves and slightly imperfect information (extended abstract) David Blackwell 28. The reduced canonical form of a game Dan Calistrate 29. Error-correcting codes derived from combinatorial games Aviezri Fraenkel 30. Tutoring strategies in game-tree search (extended abstract) Hiroyuki Iida, Yoshiyuki Kotani and Jos W. H. M. Uiterwijk 31. About David Richman James G. Propp 32. Richman games Andrew J. Lazarus, Daniel E. Loeb, James G. Propp and Daniel Ullman 33. Stable winning coalitions Daniel E. Loeb Part V. Coda: 34. Unsolved problems in combinatorial games Richard K. Guy 35. Combinatorial games: selected bibliography with a succinct gourmet introduction Aviezri Fraenkel.
Part I. All Games Bright and Beautiful: 1. The angel problem John H. Conway 2. Scenic trails ascending from sea-level Nim to Alpine chess Aviezri Fraenkel 3. What is a game? Richard K. Guy 4. Impartial games Richard K. Guy 5. Championship-level play of dots-and-boxes Julian West 6. Championship-level play of domineering Julian West 7. The gamesman's toolkit David Wolfe Part II. Strides on Classical Ground: 8. Solving Nine Men's Morris Ralph Gasser 9. Marion Tinsley: human perfection at checkers? Jonathan Schaeffer 10. Solving the game of checkers Jonathan Schaeffer and Robert Lake 11. On numbers and endgames: combinatorial game theory in chess endgames Noam D. Elkies 12. Multilinear algebra and chess endgames Lewis Stiller 13. Using similar positions to search game trees Yasuhito Kawano 14. Where is the 'Thousand-Dollar Ko'? Elwyn Berlekamp and Yonghoan Kim 15. Eyespace values in Go Howard A. Landman 16. Loopy games and Go David Moews 17. Experiments in computer Go endgames Martin Müller and Ralph Gasser Part III. Taming the Menagerie: 18. Sowing games Jeff Erickson 19. New toads and frogs results Jeff Erickson 20. X-dom: a graphical, x-based front-end for domineering Dan Garcia 21. Infinitesimals and coin-sliding David Moews 22. Geography played on products of directed cycles Richard J. Nowakowski and David G. Poole 23. Pentominoes: a first player win Hilarie K. Orman 24. New values for top entails Julian West 25. Take-away games Michael Zieve Part IV. New Theoretical Vistas: 26. The economist's view of combinatorial games Elwyn Berlekamp 27. Games with infinitely many moves and slightly imperfect information (extended abstract) David Blackwell 28. The reduced canonical form of a game Dan Calistrate 29. Error-correcting codes derived from combinatorial games Aviezri Fraenkel 30. Tutoring strategies in game-tree search (extended abstract) Hiroyuki Iida, Yoshiyuki Kotani and Jos W. H. M. Uiterwijk 31. About David Richman James G. Propp 32. Richman games Andrew J. Lazarus, Daniel E. Loeb, James G. Propp and Daniel Ullman 33. Stable winning coalitions Daniel E. Loeb Part V. Coda: 34. Unsolved problems in combinatorial games Richard K. Guy 35. Combinatorial games: selected bibliography with a succinct gourmet introduction Aviezri Fraenkel.
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