Start with a single shape. Repeat it in some way--translation, reflection over a line, rotation around a point--and you have created symmetry.
Symmetry is a fundamental phenomenon in art, science, and nature that has been captured, described, and analyzed using mathematical concepts for a long time. Inspired by the geometric intuition of Bill Thurston and empowered by his own analytical skills, John Conway, with his coauthors, has developed a comprehensive mathematical theory of symmetry that allows the description and classification of symmetries in numerous geometric environments.
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Start with a single shape. Repeat it in some way--translation, reflection over a line, rotation around a point--and you have created symmetry.
In the quarter of a century since three mathematicians and game theorists collaborated to create Winning Ways for Your Mathematical Plays, the book has become the definitive work on the subject of mathematical games. Now carefully revised and broken down into four volumes to accommodate new developments, the Second Edition retains the original's wealth of wit and wisdom. The authors' insightful strategies, blended with their witty and irreverent style, make reading a profitable pleasure. In Volume 3, the authors examine Games played in Clubs, giving case studies for coin and paper-and-pencil...
In the quarter of a century since three mathematicians and game theorists collaborated to create Winning Ways for Your Mathematical Plays, the book ha...
This is a text on games and how to play them intelligently. In this volume, the authors present a diamond of a find, covering one-player games such as Solitaire.
This is a text on games and how to play them intelligently. In this volume, the authors present a diamond of a find, covering one-player games such as...
An investigation of the geometry of quaternion and octonion algebras, this work is intended for mathematicians, physicists and crystallographers at any level - from undergraduate to professional - who are interested in symmetries of low-dimensional space. The text can also be used as a text for graduate courses in many mathematical fields, including geometry, group theory, algebra and number theory.
An investigation of the geometry of quaternion and octonion algebras, this work is intended for mathematicians, physicists and crystallographers at an...
In the quarter of a century since three mathematicians and game theorists collaborated to create Winning Ways for Your Mathematical Plays, the book has become the definitive work on the subject of mathematical games. Now carefully revised and broken down into four volumes to accommodate new developments, the Second Edition retains the original's wealth of wit and wisdom. The authors' insightful strategies, blended with their witty and irreverent style, make reading a profitable pleasure. In Volume 2, the authors have a Change of Heart, bending the rules established in Volume 1 to apply them...
In the quarter of a century since three mathematicians and game theorists collaborated to create Winning Ways for Your Mathematical Plays, the book ha...
This is a text on games and how to play them intelligently. In Volume 1, the authors do the spade work, presenting theories and techniques to dissect games of varied structures and formats in order to develop winning strategies.
This is a text on games and how to play them intelligently. In Volume 1, the authors do the spade work, presenting theories and techniques to dissect ...
In THE BOOK OF NUMBERS, two famous mathematicians fascinated by beautiful and intriguing number patterns share their insights and discoveries with each other and with readers. John Conway is the showman, master of mathematical games and flamboyant presentations; Richard Guy is the encyclopedist, always on top of problems waiting to be solved. Together they show us why patterns and properties of numbers have captivated mathematicians and non-mathematicians alike for centuries. THE BOOK OF NUMBERS features Conway and Guy's favorite stories about all the kinds of numbers any of us is likely to...
In THE BOOK OF NUMBERS, two famous mathematicians fascinated by beautiful and intriguing number patterns share their insights and discoveries with eac...
Dieses Buch solI die Beziehung zwischen zwei Lieblingsgebieten des Autors beleuchte- namlich der Theorie der transfiniten ZaWen und der Theorie der mathematischen Spiele. Einige wenige Zusammenhange sind zwar schon seit geraumer Zeit bekannt, aber es diirfte bis jetzt nicht moglich gewesen sein, eine Theorie der reellen ZaWen zu erhalten, die sowoW einfacher als auch umfassender ist als jene Dedekinds, indem Zahlen einfach als die Starke von Positionen in gewissen Spielen definiert werden. Dabei folgen die tibli chen Ordnungseigenschaften und arithmetischen Operationen fast sofort aus...
Dieses Buch solI die Beziehung zwischen zwei Lieblingsgebieten des Autors beleuchte- namlich der Theorie der transfiniten ZaWen und der Theorie der ma...
Der vierte Band, Solitairspiele" behandelt Ein-Personen-Spiele mit Ausnahme von Schach, Go etc. Ein Hauptteil ist dem beruhmten, Game of Life" gewidmet."
Der vierte Band, Solitairspiele" behandelt Ein-Personen-Spiele mit Ausnahme von Schach, Go etc. Ein Hauptteil ist dem beruhmten, Game of Life" gewidme...
