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Jeffrey, Richard C
Computability and logic Cambridge University Press, 2002ISBN: 0521809754
cover
Mentioned in
Gdel's incompleteness theorem
Co-authors
Boolos,George S
Burgess,John P
Many books on mathematical logic soon plunge the reader into a mass of difficult to understand symbols. Computability and logic by Boolos, Burgess and Jeffrey starts off in an easier to follow style, and so gives the reader a gentler learning curve for the subject. The book starts off with a look at Turing machines, showing how they can be considered equivalent to any other computer. This is followed by an introduction to the theory of recursive functions. The second part of the book deals with first order logic, leading to the proof of Gödel's incompleteness theorem and related results. Continued..
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Johnson, D
Computers and Intractability Freeman, 1979ISBN: 0716710455
cover
Mentioned in
P vs NP
Co-author
Garey,M
Computers and intractability : a guide to the theory of NP-completeness by Michael R. Garey and David S. Johnson is a standard textbook for those interested in the theory of NP completeness. Continued..
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Johnson, George
A shortcut through time VintageISBN: 0099452170
cover
Mentioned in
quantum computing
A non-technical explanation of quantum computing. I feel that the book loses something by shying away from mathematics.
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Johnson, Neil
Two's Company, Three is Complexity Oneworld, 2007ISBN: 9781851684885
cover Complexity is a subject which makes it into many popular science books, but this is often not written by those doing the research. Two's Company, Three is Complexity is a non-technical account of complexity science written by Neil Johnson, who is an active researcher in the subject. The book includes a look at the formation of crowds as well as anti-crowds. There are also chapters on traffic flow, on financial markets and on the difficulties of finding a partner. The study of biological networks is an important part of complexity science, and Johnson describes work on the distribution of nutrients in fungi as well as looking at work which may lead to new treatments for cancer. At the end of the book Johnson takes a look at quantum entanglement, and the new forms of complexity which this implies. Continued..
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Jones, Steve
The Single Helix Little, Brown, 2005ISBN: 0316731935
cover The Single Helix is a compilation of Jones' weekly 'View from the lab' articles in the Daily Telegraph, which provide an amusing look at aspects of scientific life. There is plenty relating to biology in general and genetics in particular, such as the strange names given to new genes and indeed to new species of animals. However there are also essays on many other subjects such as the representation of shadows in art, and the best system for voting.

Now one is naturally tempted to measure this work against the essays of the other Steve J - Gould that is, (who, it has to be said, had a whole month to write each of his articles) and I would say that they don't really compare - but maybe they're not meant to. Continued..

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Coral : a pessimist in paradise Little, Brown, 2007ISBN: 0316729418
cover You may have come across coral in a piece of jewellery, or you may even have seen living coral while diving, but you probably wouldn't have thought of all of the links between coral and humans which Steve Jones describes in his new book Coral : a pessimist in paradise. Continued..
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Darwin's island Little, Brown, 2009ISBN: 9781408700006
cover Darwin spend 5 years on the Beagle and wrote The Origin of the Species. But he also did a lot of other things as well, and he spent most of his life in England. In Darwin's Island: The Galapagos in the Garden of England Steve Jones looks at Darwin's less known works. Continued..
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Joseph, George G
The crest of the peacock Penguin, 1991ISBN: 0140277781
cover After the renaissance, the centre of mathematical study moved to Europe, and sometimes the contributions to mathematics from other cultures are overlooked. In The Crest of the Peacock George Gheverghese Joseph gives a history of such mathematics, starting from prehistoric markings on bones, and going on to the mathematics of Egypt and Babylonia, followed by a look at that of China, India and the Arab world. It's a lot of material to cover and sometimes it's hard going, but there are plenty of examples and diagrams which make it easier to read. I would recommend this book to anyone who wants to find out more about the substantial contribution to mathematics from non-European cultures. Continued..
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