The Unknowable

DOWNLOAD NOW »

Author: Gregory J. Chaitin

Publisher: Springer Science & Business Media

ISBN: 9789814021722

Category: Mathematics

Page: 124

View: 8800

This essential companion to Chaitins highly successful The Limits of Mathematics, gives a brilliant historical survey of important work on the foundations of mathematics. The Unknowable is a very readable introduction to Chaitins ideas, and includes software (on the authors website) that will enable users to interact with the authors proofs. "Chaitins new book, The Unknowable, is a welcome addition to his oeuvre. In it he manages to bring his amazingly seminal insights to the attention of a much larger audience His work has deserved such treatment for a long time." JOHN ALLEN PAULOS, AUTHOR OF ONCE UPON A NUMBER

The Art of Artificial Evolution

A Handbook on Evolutionary Art and Music

DOWNLOAD NOW »

Author: Juan J. Romero,Penousal Machado

Publisher: Springer Science & Business Media

ISBN: 3540728775

Category: Computers

Page: 459

View: 2558

This comprehensive book gives an up-to-date survey of the relevant bioinspired computing research fields – such as evolutionary computation, artificial life, swarm intelligence and ant colony algorithms – and examines applications in art, music and design. The editors and contributors are researchers and artists with deep experience of the related science, tools and applications, and the book includes overviews of historical developments and future perspectives.

Distributed Networked Operations

The Foundations of Network Centric Warfare

DOWNLOAD NOW »

Author: Jeff Cares

Publisher: iUniverse

ISBN: 0595378005

Category: Technology & Engineering

Page: 220

View: 983

Distributed Networked Operations describes a refinement of what popularly has been called "network centric operations."Distributed networked operations envision combat conducted by large numbers of diverse, small units-rather than by small numbers of generally homogenous, large units. In theory and to a significant extent in practice in Afghanistan and Iraq, distributed networked operations involve a mixed bag of naval, ground and air units, none of which is individually as powerful as a fleet, air wing or armored division.Author Jeff Cares discusses distributed networked operations from the perspective of adaptive control theory and details implications for force structure, hardware employment, and networked competition. Jeff presents a formal model of Information Age combat and explores the civilian business applications of the theory.

The Demon in the Machine

How Hidden Webs of Information Are Finally Solving the Mystery of Life

DOWNLOAD NOW »

Author: Paul Davies

Publisher: Penguin UK

ISBN: 0241309603

Category: Science

Page: 272

View: 6100

When Darwin set out to explain the origin of species, he made no attempt to answer the deeper question: what is life? For generations, scientists have struggled to make sense of this fundamental question. Life really does look like magic: even a humble bacterium accomplishes things so dazzling that no human engineer can match it. And yet, huge advances in molecular biology over the past few decades have served only to deepen the mystery. So can life be explained by known physics and chemistry, or do we need something fundamentally new? In this penetrating and wide-ranging new analysis, world-renowned physicist and science communicator Paul Davies searches for answers in a field so new and fast-moving that it lacks a name, a domain where computing, chemistry, quantum physics and nanotechnology intersect. At the heart of these diverse fields, Davies explains, is the concept of information: a quantity with the power to unify biology with physics, transform technology and medicine, and even to illuminate the age-old question of whether we are alone in the universe. From life's murky origins to the microscopic engines that run the cells of our bodies, The Demon in the Machine is a breath-taking journey across the landscape of physics, biology, logic and computing. Weaving together cancer and consciousness, two-headed worms and bird navigation, Davies reveals how biological organisms garner and process information to conjure order out of chaos, opening a window on the secret of life itself.

Aspects of Kolmogorov Complexity the Physics of Information

DOWNLOAD NOW »

Author: Bradley S. Tice

Publisher: River Publishers

ISBN: 8792329268

Category: Computers

Page: 174

View: 9191

The research presented in Aspects of Kolmogorov Complexity addresses the fundamental standard of defining randomness as measured by a Martin-Lof level of randomness as found in random sequential binary strings. A classical study of statistics that addresses both a fundamental standard of statistics as well as an applied measure for statistical communication theory. The research points to compression levels in a random state that are greater than is found in current literature. A historical overview of the field of Kolmogorov Complexity and Algorithmic Information Theory, a subfield of Information Theory, is given as well as examples using a radix 3, radix 4, and radix 5 base numbers for both random and non-random sequential strings. The text also examines monochromatic and chromatic symbols and both theoretical and applied aspects of data compression as they relate to the transmission and storage of information. The appendix contains papers on the subject given at conferences and the references are current.

Exploring RANDOMNESS

DOWNLOAD NOW »

Author: Gregory J. Chaitin

Publisher: Springer Science & Business Media

ISBN: 1447103076

Category: Computers

Page: 164

View: 2253

This essential companion to Chaitin's successful books The Unknowable and The Limits of Mathematics, presents the technical core of his theory of program-size complexity. The two previous volumes are more concerned with applications to meta-mathematics. LISP is used to present the key algorithms and to enable computer users to interact with the authors proofs and discover for themselves how they work. The LISP code for this book is available at the author's Web site together with a Java applet LISP interpreter. "No one has looked deeper and farther into the abyss of randomness and its role in mathematics than Greg Chaitin. This book tells you everything hes seen. Don miss it." John Casti, Santa Fe Institute, Author of Goedel: A Life of Logic.'

International Mathematical News

DOWNLOAD NOW »

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Mathematics

Page: N.A

View: 5711

Issues for Dec. 1952- include section: Nachrichten der Österreichischen Mathematischen Gesellschaft.

Die Ordnung der Zeit

DOWNLOAD NOW »

Author: Carlo Rovelli

Publisher: Rowohlt Verlag GmbH

ISBN: 3644000751

Category: Science

Page: 192

View: 1510

Leben wir in der Zeit oder lebt die Zeit vielleicht nur in uns? Alle theoretischen Physiker von Weltrang, die den großen und kleinen Kräften des Universums nachspüren, beschäftigen sich immer wieder mit der entscheidenden Frage, was Zeit ist. Wenn ihre großen Modelle die Zeit zur Erklärung des Elementaren nicht mehr brauchen, wie kommt es dann, dass sie für unser Leben so wichtig ist? Geht es wirklich ohne sie? Carlo Rovelli gibt in diesem Buch überraschende Antworten. Er nimmt uns mit auf eine Reise durch unsere Vorstellungen der von der Zeit und spürt ihren Regeln und Rätseln nach. Ein großes, packend geschriebenes Lese-Abenteuer, ein würdiger Nachfolger des Welt-Bestsellers "Sieben kurze Lektionen über Physik".

Kurt Gödel

Jahrhundertmathematiker und großer Entdecker

DOWNLOAD NOW »

Author: Rebecca Goldstein

Publisher: N.A

ISBN: 9783492249607

Category:

Page: 312

View: 6363

Stochastik

Einführung in die Wahrscheinlichkeitstheorie und Statistik

DOWNLOAD NOW »

Author: Hans-Otto Georgii

Publisher: Walter de Gruyter GmbH & Co KG

ISBN: 3110359707

Category: Mathematics

Page: 448

View: 9771

Due to the extremely positive reception of this textbook, it is now being published in its 5th edition. The book provides an introduction to the key ideas and elements of probability theory and statistics. Stochastic concepts, models, and methods are highlighted through typical application examples, then analyzed theoretically and systematically explored.

Mathematik und plausibles Schliessen

Band 1 Induktion und Analogie in der Mathematik

DOWNLOAD NOW »

Author: G. Polya

Publisher: Springer-Verlag

ISBN: 3034891660

Category: Juvenile Nonfiction

Page: 404

View: 726

Vorlesungen Über die Zahlentheorie der Quaternionen

DOWNLOAD NOW »

Author: Adolf Hurwitz

Publisher: Springer-Verlag

ISBN: 3642475361

Category: Mathematics

Page: 76

View: 9630

Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind. Der Verlag stellt mit diesem Archiv Quellen für die historische wie auch die disziplingeschichtliche Forschung zur Verfügung, die jeweils im historischen Kontext betrachtet werden müssen. Dieser Titel erschien in der Zeit vor 1945 und wird daher in seiner zeittypischen politisch-ideologischen Ausrichtung vom Verlag nicht beworben.

Meta Maths

The Quest for Omega

DOWNLOAD NOW »

Author: Gregory J. Chaitin

Publisher: N.A

ISBN: 9781843545248

Category: Computational complexity

Page: 220

View: 6494

This is the story of Chaitin's revolutionary discovery - the omega number. The omega number is Chaitin's representation of the profound enigma at the heart of maths, which sheds light on the very nature of life itself.

Thinking about Godel and Turing

Essays on Complexity, 1970-2007L

DOWNLOAD NOW »

Author: Gregory J. Chaitin

Publisher: World Scientific

ISBN: 9812708979

Category: Computational complexity

Page: 368

View: 5107

Dr Gregory Chaitin, one of the world's leading mathematicians, is best known for his discovery of the remarkable O 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 GAdel 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 GAdel 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."

Theories of Everything

The Quest for Ultimate Explanation

DOWNLOAD NOW »

Author: John D. Barrow

Publisher: Ballantine Books

ISBN: N.A

Category: Philosophy

Page: 302

View: 4473

A new account of the search for the definitive theory of the physical world examines changing ideas about the existence, from creation myths to Einstein to the most recent trends in physics

Georg Cantor

der Jahrhundertmathematiker und die Entdeckung des Unendlichen

DOWNLOAD NOW »

Author: David Foster Wallace

Publisher: N.A

ISBN: 9783492048262

Category:

Page: 407

View: 8576

Liebe und Mathematik

Im Herzen einer verborgenen Wirklichkeit

DOWNLOAD NOW »

Author: Edward Frenkel

Publisher: Springer-Verlag

ISBN: 3662434210

Category: Mathematics

Page: 317

View: 3365

Kurt Gödel

Wahrheit & Beweisbarkeit

DOWNLOAD NOW »

Author: Kurt Gödel,Eckehart Köhler,Bernd Buldt

Publisher: N.A

ISBN: 9783209038340

Category: Logicians

Page: 448

View: 2662

Differentialgeometrie von Kurven und Flächen

DOWNLOAD NOW »

Author: Manfredo P. do Carmo

Publisher: Springer-Verlag

ISBN: 3322850722

Category: Technology & Engineering

Page: 263

View: 2267

Inhalt: Kurven - Reguläre Flächen - Die Geometrie der Gauß-Abbildung - Die innere Geometrie von Flächen - Anhang