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On Numbers and Games

242 pages, 2000

science & nature

science & nature

1064 books
Takeaways
Description
The book On a New Arithmetic of Games, originally written to define the relation between transfinite numbers and mathematical games, is one of those rare publications that sprang to life in a moment of creative energy and has remained influential for over a quarter of a century. By defining numbers as the strengths of positions in certain games, the author arrives at a new class, the surreal numbers, that includes both real numbers and ordinal numbers. These surreal numbers are applied in the author's mathematical analysis of game strategies. Additions to the second edition present recent developments in the area of mathematical game theory, with a concentration on surreal numbers and the additive theory of partisan games.
Understanding Numbers and Games

John H. Conway's book 'On Numbers and Games' is a fascinating exploration into the world of numbers and game theory. It's a great read for anyone interested in mathematics and the logic behind games.

The Concept of Surreal Numbers

One of the key takeaways from the book is the concept of surreal numbers. Conway introduces this new number system that extends beyond the traditional real numbers. It's a mind-bending concept that will make you see numbers in a whole new light.

Game Theory and Strategy

Conway doesn't just talk about numbers, he also delves into the world of games. He explores how game theory and strategy can be applied in various scenarios. This is a great opportunity to learn about the strategic side of games and how to apply these strategies in real life.

The Connection Between Numbers and Games

One of the most interesting aspects of 'On Numbers and Games' is the connection Conway makes between numbers and games. He shows how numbers can be used to analyze games and vice versa. This unique perspective will make you rethink the way you view both numbers and games.

The Impact of Conway's Work

John H. Conway's work has had a significant impact on the field of mathematics. His research and theories have influenced many other mathematicians and scientists. Reading 'On Numbers and Games' will give you a deeper understanding of his contributions and their importance in the field.

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authorDavid Deutsch

David Deutsch

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