An introduction to Kolmogorov complexity and its applications
With this book, the authors are trying to present in a unified treatment an introduction to the central ideas and their applications of the Kolmogorov Complexity, the theory dealing with the quantity of information in individual objects. This book is appropriate for either a one- or two-semester introductory course in departments of computer science, mathematics, physics, probability theory and statistics, artificial intelligence, and philosophy. Although the mathematical theory of Kolmogorov complexity contains sophisticated mathematics, the amount of math one needs to know to apply the notions in widely divergent areas, is very little. The authors' purpose is to develop the theory in detail and outline a wide range of illustrative applications. This book is an attempt to grasp the mass of fragmented knowledge of this fascinating theory. Chapter 1 is a compilation of material on the diverse notations and disciplines we draw upon in order to make the book self-contained. The mathematical theory of Kolmogorov complexity is treated in chapters 2-4; the applications are treated in chapters 4-8.
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Review: An Introduction to Kolmogorov Complexity and Its ApplicationsUser Review - Nick Black - Goodreads
I'm more excited about this than any textbook I've read all year. It's absolutely awesome thus far. Kolmogorov complexity is so deep in computer science -- in a way, I feel that it *is* computer ... Read full review
Review: An Introduction to Kolmogorov Complexity and Its ApplicationsUser Review - Goodreads
Not as much a textbook as it is a compilation of the authors' papers and other results they thought relevant. Or at least, not a textbook meant for stupid people like me who don't have a strong ...
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An Introduction to Kolmogorov Complexity and Its Applications
Ming Li,Paul M.B. Vitányi
Limited preview - 2009