Unravelling Complexity: The Life And Work Of Gregory Chaitin PDF Download
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Author: Shyam Wuppuluri
Publisher: World Scientific
ISBN: 9811200084
Category : Computers
Languages : en
Pages : 445
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Book Description
The revolutions that Gregory Chaitin brought within the fields of science are well known. From his discovery of algorithmic information complexity to his work on Gödel's theorem, he has contributed deeply and expansively to such diverse fields.This book attempts to bring together a collection of articles written by his colleagues, collaborators and friends to celebrate his work in a festschrift. It encompasses various aspects of the scientific work that Chaitin has accomplished over the years. Topics range from philosophy to biology, from foundations of mathematics to physics, from logic to computer science, and all other areas Chaitin has worked on.It also includes sketches of his personality with the help of biographical accounts in some unconventional articles that will provide a rare glimpse into the personal life and nature of Chaitin.Compared to the other books that exist along a similar vein, this book stands out primarily due to its highly interdisciplinary nature and its scope that will attract readers into Chaitin's world.
Author: Arturo Sangalli
Publisher: Princeton University Press
ISBN: 0691049556
Category : Fiction
Languages : en
Pages : 203
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Book Description
The celebrated mathematician and philosopher Pythagoras left no writings. But what if he had and the manuscript had never been found? Where would it be located? Two mathematicians, one American, one British, set out, unbeknownst to each other, to find the missing manuscript.
Author: Shyam Wuppuluri
Publisher: World Scientific
ISBN: 9811200084
Category : Computers
Languages : en
Pages : 445
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Book Description
The revolutions that Gregory Chaitin brought within the fields of science are well known. From his discovery of algorithmic information complexity to his work on Gödel's theorem, he has contributed deeply and expansively to such diverse fields.This book attempts to bring together a collection of articles written by his colleagues, collaborators and friends to celebrate his work in a festschrift. It encompasses various aspects of the scientific work that Chaitin has accomplished over the years. Topics range from philosophy to biology, from foundations of mathematics to physics, from logic to computer science, and all other areas Chaitin has worked on.It also includes sketches of his personality with the help of biographical accounts in some unconventional articles that will provide a rare glimpse into the personal life and nature of Chaitin.Compared to the other books that exist along a similar vein, this book stands out primarily due to its highly interdisciplinary nature and its scope that will attract readers into Chaitin's world.
Author: Gregory Chaitin
Publisher: CRC Press
ISBN: 0415690854
Category : Mathematics
Languages : en
Pages : 162
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Book Description
Kurt Gödel (1906-1978) was an Austrian-American mathematician, who is best known for his incompleteness theorems. He was the greatest mathematical logician of the 20th century, with his contributions extending to Einstein’s general relativity, as he proved that Einstein’s theory allows for time machines. The Gödel incompleteness theorem - the usual formal mathematical systems cannot prove nor disprove all true mathematical sentences - is frequently presented in textbooks as something that happens in the rarefied realms of mathematical logic, and that has nothing to do with the real world. Practice shows the contrary though; one can demonstrate the validity of the phenomenon in various areas, ranging from chaos theory and physics to economics and even ecology. In this lively treatise, based on Chaitin’s groundbreaking work and on the da Costa-Doria results in physics, ecology, economics and computer science, the authors show that the Gödel incompleteness phenomenon can directly bear on the practice of science and perhaps on our everyday life. This accessible book gives a new, detailed and elementary explanation of the Gödel incompleteness theorems and presents the Chaitin results and their relation to the da Costa-Doria results, which are given in full, but with no technicalities. Besides theory, the historical report and personal stories about the main character and on this book’s writing process, make it appealing leisure reading for those interested in mathematics, logic, physics, philosophy and computer sciences. See also: http://www.youtube.com/watch?v=REy9noY5Sg8
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 654
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Book Description
Author: Brendan Larvor
Publisher: Birkhäuser
ISBN: 3319285823
Category : Mathematics
Languages : en
Pages : 457
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Book Description
This collection presents significant contributions from an international network project on mathematical cultures, including essays from leading scholars in the history and philosophy of mathematics and mathematics education. Mathematics has universal standards of validity. Nevertheless, there are local styles in mathematical research and teaching, and great variation in the place of mathematics in the larger cultures that mathematical practitioners belong to. The reflections on mathematical cultures collected in this book are of interest to mathematicians, philosophers, historians, sociologists, cognitive scientists and mathematics educators.
Author: Nancy M. Henkel
Publisher: Bloomsbury Publishing USA
ISBN: 1610691237
Category : Language Arts & Disciplines
Languages : en
Pages : 198
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Book Description
Providing more than 50 fiction display descriptions, this book identifies themes for the entire year and includes titles for signage, annotated book lists, prop and material ideas, as well as photographs that show how to pull it all together. Proper library merchandising doesn't have to be prohibitively expensive, time-consuming, or constitute a huge headache. Ready-Made Book Displays explains the principles behind effective displays and presents a wide variety of ready-made book displays that can be easily replicated, providing catchy titles, materials and props lists, reproducible hand-outs, and photographs to guide librarians in quickly assembling successful displays. These display ideas can be utilized in several different venues—in-shelf, point-of-checkout, display case, and others—and can be targeted to coincide with events, holidays, and celebrations, as well as for general book promotion. Each of the 55 fiction displays includes a prop idea list, a related Dewey subject list, media tie-ins, and an annotated and reproducible booklist. It's everything the busy librarian needs to create appealing, successful book displays—all contained in one handy guidebook.
Author:
Publisher:
ISBN:
Category : Great Britain
Languages : en
Pages : 292
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Book Description
Author: Alexander Berezin
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110606496
Category : Science
Languages : en
Pages : 330
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Book Description
The material world is made of atoms, and the majority of chemical elements has two or more stable isotopes. The existence of isotopes and their applications are well known. Yet, there is little appreciation of isotopic diversity as a singular phenomenon of nature. This book discusses aspects of isotopic diversity in terms of a singular principle: "isotopicity".
Author: Gregory J. Chaitin
Publisher: Pantheon
ISBN: 0375423141
Category : Bioinformatics
Languages : en
Pages : 146
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Book Description
Explains how evolution works on a mathematical level, arguing that mathematical theory is an essential part of evolution while highlighting mathematical principles in the biological world.
Author: Marcel Danesi
Publisher: BRILL
ISBN: 9004433392
Category : Mathematics
Languages : en
Pages : 144
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Book Description
In Pi (π) in Nature, Art, and Culture Marcel Danesi revisits the importance of π as a pattern in the structure of reality, fitting in with the Pythagorean view of Order. Pi has cropped up in formulas that describe natural and physical structures which, on the surface, seem to have nothing to do with a circle, but might harbor the archetype of circularity as a principle. Through π, this book thus revisits the implicit ancient Greek view that geometry was a 'hermeneutic science,' a discipline aiming to investigate the connectivity among numbers, shapes, and natural phenomena. It also examines its manifestations in aesthetic, symbolic and cultural structures, which point to an abiding fascination with the circle as an unconscious archetype. Hermeneutic geometry is ultimately about the exploration of the meanings of geometric-mathematical notions to science and human life.
