Edward Beltrami: What Is Random?

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

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Sprache: Englisch

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Beschreibung

Order is an illusion, the quantum theorists tell us; at bottom the world is ruled by quantum indeterminacy. Yet randomness is also an illusion: the appearance of randomness is only a sign of ignorance, of our inability to detect the pattern. Does randomness really exist? In this wonderfully thought-provoking little book, mathematician Ed Beltrami shows how order and randomness are really two sides of the same mysterious coin.

Zusammenfassung

Inhaltsverzeichnis

[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.

Details

Erscheinungsjahr:	2012
Fachbereich:	Wahrscheinlichkeitstheorie
Genre:	Importe , Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
ISBN-13:	9781461271567
ISBN-10:	1461271568
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Beltrami, Edward
Hersteller:	Springer Springer US, New York, N.Y.
Verantwortliche Person für die EU:	Springer-Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, productsafety@springernature.com
Maße:	203 x 127 x 13 mm
Von/Mit:	Edward Beltrami
Erscheinungsdatum:	28.10.2012
Gewicht:	0,246 kg