Alan Turing: The Enigma
by Andrew Hodges, Douglas Hofstadter
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Book Summary Information
Author: Andrew Hodges, Douglas HofstadterEdition: Paperback
Audio: English (Unknown); English (Original Language); English (Published)
Published: 2000-03-01
ISBN: 0802775802
Number of pages: 608
Publisher: Walker & Company
Book Reviews of Alan Turing: The Enigma
Book Review: A scientifically useful biography
Summary: 4 Stars
I read part of this book in 1985 while trying to understand chaotic orbits. The problem was to understand how an orbit can be deterministic and apparently random. When I read Hodges' description of the Turing machine then I realized that it is easy to answer the question, and was able to write down the answer: one simply digitizes the map or ode, initial condition, and all the control parameters in some base of arithmetic, and then studies the action of a (digitized) positive Liapunov exponent on a digit string. I can't comment on the rest of the book, but Hodges does a very good job of presenting Turing's ideas of computable numbers and computable functions. When my collaborator Palmore read the description I refer to here, he said that he nearly fell out of his chair. We solved the problem of computability of chaotic orbits in that era together.Is there a good book on computability and automata? So far, all the automata texts that I'm aware of are written in a special holy language of abstract computerize. The language erects an unnecessary barrier to understanding the basic ideas. Is Turing's original paper a proof, or an explanation of what he'd understood? I don't know, but I can refer the reader to "Descartes' Dream" by Reuben and Hersch for perespective.
Turing, Alan Books
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