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What Is Random? Edward Beltrami

What Is Random? von Edward Beltrami

What Is Random? Edward Beltrami


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Zusammenfassung

In this fascinating book, mathematician Ed Beltrami takes a close enough look at randomness to make it mysteriously disappear. Those familiar with quantum indeterminacy assert that order is an illusion, and that the world is fundamentally random.

What Is Random? Zusammenfassung

What Is Random?: Chance and Order in Mathematics and Life Edward Beltrami

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.

What Is Random? Bewertungen

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...

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.

Zusätzliche Informationen

GOR002424551
9780387987378
0387987371
What Is Random?: Chance and Order in Mathematics and Life Edward Beltrami
Gebraucht - Sehr Gut
Gebundene Ausgabe
Springer-Verlag New York Inc.
19990813
201
N/A
Die Abbildung des Buches dient nur Illustrationszwecken, die tatsächliche Bindung, das Cover und die Auflage können sich davon unterscheiden.
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