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Meta Math!: The Quest for Omega

Gregory Chaitin · 2 HN comments
HN Books has aggregated all Hacker News stories and comments that mention "Meta Math!: The Quest for Omega" by Gregory Chaitin.
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Amazon Summary
Gregory Chaitin, one of the world’s foremost mathematicians, leads us on a spellbinding journey, illuminating the process by which he arrived at his groundbreaking theory. Chaitin’s revolutionary discovery, the Omega number, is an exquisitely complex representation of unknowability in mathematics. His investigations shed light on what we can ultimately know about the universe and the very nature of life. In an infectious and enthusiastic narrative, Chaitin delineates the specific intellectual and intuitive steps he took toward the discovery. He takes us to the very frontiers of scientific thinking, and helps us to appreciate the art—and the sheer beauty—in the science of math.
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I recommend Gregory Chaitin's book intended for a popular audience. It is short, and a good introduction to algorithmic information theory for non-mathematicians. Chaitin's Constant (Omega) is a non-computable number that is equivalent to the halting problem.

[0]: https://www.amazon.com/Meta-Math-Quest-Gregory-Chaitin/dp/14...

Well you haven't mentioned how much math you're familiar with. But I'll assume that you know school level mathematics and are looking to learn more about the math mostly used in computer science. Get Concrete Mathematics( http://www.amazon.com/Concrete-Mathematics-Foundation-Comput... ) by Graham, Knuth & Patashnik - It's based on the course taught at Stanford since 1970 & it's really really good. Another book I think you should get is Meta Math: The quest for Omega( http://www.amazon.com/Meta-Math-Quest-Gregory-Chaitin/dp/140... ) by Gregory Chaitin. It's not really a math course book, and is mostly the authors take on his favorite topics in math, but if you want to improve your thinking process then this book will definitely give you a different perspective.
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