What Is Random?: Chance and Order in Mathematics and Life - Rilegato

Beltrami, Edward

 
9780387987378: What Is Random?: Chance and Order in Mathematics and Life
Rilegato
ISBN 10: 0387987371 ISBN 13: 9780387987378
Casa editrice: Springer-Verlag New York Inc., 1999

Sinossi

In this fascinating book, mathematician Ed Beltrami takes a close enough look at randomness to make it mysteriously disappear. The results of coin tosses, it turns out, are determined from the start, and only our incomplete knowledge makes them look random. "Random" sequences of numbers are more elusive, but Godels undecidability theorem informs us that we will never know. Those familiar with quantum indeterminacy assert that order is an illusion, and that the world is fundamentally random. Yet randomness is also an illusion. Perhaps order and randomness, like waves and particles, are only two sides of the same (tossed) coin.

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Recensione

From the reviews:

THE AMERICAN STATISTICIAN

"In summary, I think that many readers with a strong interest in mathematics, statistics, physics, or other areas of science will find this book interesting and challenging. I strongly recommend it to all who are interested in science and would like to see how the ideas of both theoretical mathematics and statistics have been observed and used in real life throughout history."

MATHEMATICAL REVIEWS

"The book is nicely written and should entertain many readers..."

Contenuti

[1] The Taming of Chance.- From Unpredictable to Lawful.- Probability.- Order in the Large.- The Normal Law.- Is It Random?.- More About the Law of Large Numbers.- Where We Stand Now.- [2] Uncertainty and Information.- Messages and Information.- Entropy.- Messages, Codes, and Entropy.- Approximate Entropy.- Again, Is It Random?.- The Perception of Randomness.- [3] Janus-Faced Randomness.- Is Determinism an Illusion?.- Generating Randomness.- Janus and the Demons.- [4] Algorithms, Information, and Chance.- Algorithmic Randomness.- Algorithmic Complexity and Undecidability.- Algorithmic Probability.- [5] The Edge of Randomness.- Between Order and Disorder.- Self-Similarity and Complexity.- What Good is Randomness?.- Sources and Further Readings.- Technical Notes.- Appendix A: Geometric Sums.- Appendix B: Binary Numbers.- Appendix C: Logarithims.- References.

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Editore
Springer-Verlag New York Inc.
Data di pubblicazione
1999
Lingua
Inglese
ISBN 10 
0387987371
ISBN 13 
9780387987378
Rilegatura
Copertina rigida
Numero di pagine
201
Contatto del produttore
non disponibile
Persona responsabile
CMN Printpool Inh. Mathis Neumann
https://www.also.com/ec/cms5/en_6000/6000/index.jsp

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Hamburg
Germania

Altre edizioni note dello stesso titolo

9781461271567: What Is Random?: Chance and Order in Mathematics and Life

Edizione in evidenza

ISBN 10:  1461271568 ISBN 13:  9781461271567
Casa editrice: Copernicus, 2012
Brossura