Exploring Chaos

Exploring Chaos PDF Author: Nina Hall
Publisher: W. W. Norton & Company
ISBN: 9780393312263
Category : Mathematics
Languages : en
Pages : 244

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Book Description
Chaos theory is giving scientists fresh insights into all sorts of unruly phenomena-from dripping faucets to swinging pendulums, from the vagaries of the weather to the movements of the planets, from heart rhythms to gold futures. In this collection of front-line reports, edited for the general reader, internationally recognized experts such as Ian Stewart, Robert M. May, and Benoit Mandelbrot draw on the latest research to trace the roots of chaos in modern science and mathematics.

Exploring Chaos

Exploring Chaos PDF Author: Nina Hall
Publisher: W. W. Norton & Company
ISBN: 9780393312263
Category : Mathematics
Languages : en
Pages : 244

Get Book Here

Book Description
Chaos theory is giving scientists fresh insights into all sorts of unruly phenomena-from dripping faucets to swinging pendulums, from the vagaries of the weather to the movements of the planets, from heart rhythms to gold futures. In this collection of front-line reports, edited for the general reader, internationally recognized experts such as Ian Stewart, Robert M. May, and Benoit Mandelbrot draw on the latest research to trace the roots of chaos in modern science and mathematics.

Thinking about G”del and Turing

Thinking about G”del and Turing PDF Author: Gregory J. Chaitin
Publisher: World Scientific
ISBN: 9812708952
Category : Mathematics
Languages : en
Pages : 368

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Book Description
Dr Gregory Chaitin, one of the world's leading mathematicians, is best known for his discovery of the remarkable ê number, a concrete example of irreducible complexity in pure mathematics which shows that mathematics is infinitely complex. In this volume, Chaitin discusses the evolution of these ideas, tracing them back to Leibniz and Borel as well as G”del and Turing.This book contains 23 non-technical papers by Chaitin, his favorite tutorial and survey papers, including Chaitin's three Scientific American articles. These essays summarize a lifetime effort to use the notion of program-size complexity or algorithmic information content in order to shed further light on the fundamental work of G”del and Turing on the limits of mathematical methods, both in logic and in computation. Chaitin argues here that his information-theoretic approach to metamathematics suggests a quasi-empirical view of mathematics that emphasizes the similarities rather than the differences between mathematics and physics. He also develops his own brand of digital philosophy, which views the entire universe as a giant computation, and speculates that perhaps everything is discrete software, everything is 0's and 1's.Chaitin's fundamental mathematical work will be of interest to philosophers concerned with the limits of knowledge and to physicists interested in the nature of complexity.

Why Fish Don't Exist

Why Fish Don't Exist PDF Author: Lulu Miller
Publisher: Simon and Schuster
ISBN: 1501160346
Category : Biography & Autobiography
Languages : en
Pages : 256

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Book Description
Nineteenth-century scientist David Starr Jordan built one of the most important fish specimen collections ever seen, until the 1906 San Francisco earthquake shattered his life's work.

New Scientist

New Scientist PDF Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 1384

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Book Description


From Here to Infinity

From Here to Infinity PDF Author: Ian Stewart
Publisher: Oxford Paperbacks
ISBN: 0192832026
Category : Mathematics
Languages : en
Pages : 338

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Book Description
A retitled and revised edition of Ian Stewart's The Problem of Mathematics, this is the perfect guide to today's mathematics. Read about the latest discoveries, including Andrew Wile's amazing proof of Fermat's Last Theorem, the newest advances in knot theory, the Four Colour Theorem, Chaos Theory, and fake four-dimensial spaces. See how simple concepts from probability theory shed light on the National Lottery and tell you how to maximize your winnings. Discover howinfinitesimals become respectable, why there are different kinds of infinity, and how to square the circle with the mathematical equivalent of a pair of scissors.

Film Noir

Film Noir PDF Author: Mark Bould
Publisher: Columbia University Press
ISBN: 0231503911
Category : Performing Arts
Languages : en
Pages : 157

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Book Description
Film Noir explores the murky world of a genre responsible for many of film's most enduring images. Mark Bould discusses problems of definition and the often ambiguous nature of film noir and looks at modern films that could be called neo-noir. Iconic and enduring, film noir attracted great stars (Bogart, Bacall, Mitchum, Lancaster), many of the best directors of the era (Wilder, Lang, Preminger, Hawks, Siodmak, Welles) and this book is an indispensible guide to this popular genre.

Theory of Education

Theory of Education PDF Author: David A. Turner
Publisher: Bloomsbury Publishing
ISBN: 1847143407
Category : Education
Languages : en
Pages : 217

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Book Description
To date, theory in Education Studies has been dominated by a particular view of what should count as 'scientific' theory. David Turner argues that this approach does not necessarily provide a firm foundation for policy planning and professional activity. Using examples from linear programming, game theory, decision theory and chaos theory, he demonstrates how certain insights from modern developments in, for example, the social sciences can be used to stimulate more rewarding debate amongst educational researchers.

Ordinary Differential Equations

Ordinary Differential Equations PDF Author: W. Cox
Publisher: Butterworth-Heinemann
ISBN: 0340632038
Category : Mathematics
Languages : en
Pages : 237

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Book Description
This text provides a sound foundation in the underlying principles of ordinary differential equations. Important concepts are worked through in detail and the student is encouraged to develop much of the routine material themselves.

The Harmonious Universe

The Harmonious Universe PDF Author: Keith J. Laidler
Publisher: Prometheus Books
ISBN: 1615925635
Category : Science
Languages : en
Pages : 370

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Book Description
From quarks to quasars, this stimulating survey of the main branches of science will entertain, educate and inspire lay readers with a broad scientific understanding of our fascinating universe.

Information-Theoretic Incompleteness

Information-Theoretic Incompleteness PDF Author: Gregory J. Chaitin
Publisher: World Scientific
ISBN: 9789810236953
Category : Computers
Languages : en
Pages : 242

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Book Description
In this mathematical autobiography, Gregory Chaitin presents a technical survey of his work and a nontechnical discussion of its significance. The volume is an essential companion to the earlier collection of Chaitin's papers Information, Randomness and Incompleteness, also published by World Scientific.The technical survey contains many new results, including a detailed discussion of LISP program size and new versions of Chaitin's most fundamental information-theoretic incompleteness theorems. The nontechnical part includes the lecture given by Chaitin in G?del's classroom at the University of Vienna, a transcript of a BBC TV interview, and articles from New Scientist, La Recherche, and the Mathematical Intelligencer.