ONAG, as the book is known, 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. Still in high demand, it is being republished with some adjustments and corrections. The original motivation for writing the book was an attempt to understand the relation between the theories of tranONAG, as the book is known, 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. Still in high demand, it is being republished with some adjustments and corrections. The original motivation for writing the book was an attempt to understand the relation between the theories of transfinite numbers and mathematical games. By defining numbers as the strengths of positions in certain games, the author arrives at a new class, the surreal numbers (so named by Donald Knuth) that includes at the same time the real numbers and the ordinal numbers. This new edition ends with an epilogue that sets the stage for further research on surreal numbers. The book is a must-have for all readers with a serious interest in the mathematical foundations of game strategies....
|Title||:||On Numbers and Games|
|Number of Pages||:||238 Pages|
|Status||:||Available For Download|
|Last checked||:||21 Minutes ago!|
On Numbers and Games Reviews
Absolutely brilliant. And it has a chapter zero!Breathtaking volumes of ideas packed into such short paragraphs that deciphering one of them can take you a week.
I was really excited to read this book and I started off with the first section which presented surreal numbers. I even broke out the pen and paper to follow along. Unfortunately, I was lost amid the imprecise descriptions and possible errors.Fortunately, the author had written earlier that the second part was readable without the first, and since my interest was in the applicability of surreal numbers to games, I tried that.Unfortunately, that too did not work. The author seemed to make mistakes in his dominoes example and at no point did I feel any relevance for surreal numbers to games.I skimmed a bit more before finally giving up.It's a shame. I really wanted to like this book, and the subject matter might be as good as others say, but the presentation was just poor. Perhaps a solid proofing and beefing up the anemic sections might make this worthwhile.For now, it's a poor introduction to a tantalizing subject.
Conway's approach to foundations is frustratingly poorly ordered and I urge readers to look at the appendix to section 0 first. After skimming the book once it becomes extremely lucid and insightful if not haphazard. Truly a mathematical classic.
I was initially interested in this book for surreal numbers, but I ended up reading a lot about games too. It's a very exciting book, full of new ideas. The tone is a pretty informal, and I think it could do with more rigor and exercises, but as a light introduction, it does a great job.
Don't know as I can say that I fully understood this book, but I am certainly done with it. I can see how it has earned such a high position in the canon of game literature.