What Is Random?: Chance and Order in Mathematics and Life
Autor Edward Beltramien Limba Engleză Paperback – 28 oct 2012
This book is intended to provoke, entertain, and inform by challenging the reader's ideas about randomness, providing first one and then another interpretation of what this elusive concept means. As the book progresses, the author teases out the various threads and shows how mathematics, communication engineering, computer science, philosophy, physics, and psychology all contribute to the discourse by illuminating different facets of the same idea.
The material in this book should be readily accessible to anyone with experience in undergraduate mathematics, no calculus needed. Three appendices provide some of the background information regarding binary representations and logarithms that are needed. Although an effort is made to justify most statements of a mathematical nature, a few are presented without corroboration, since they entail close-knit arguments that would detract from the main ideas. Readers can safely bypass the details without any loss, andin any case, the fine points are available in the technical notes assembled at the end.
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| Springer – 28 oct 2012 | 94.51 lei 3-5 săpt. | |
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Specificații
ISBN-13: 9781461271567
ISBN-10: 1461271568
Pagini: 224
Ilustrații: XX, 201 p.
Dimensiuni: 127 x 203 x 12 mm
Greutate: 0.25 kg
Ediția:Softcover reprint of the original 1st ed. 1999
Editura: Springer
Colecția Copernicus
Locul publicării:New York, NY, United States
ISBN-10: 1461271568
Pagini: 224
Ilustrații: XX, 201 p.
Dimensiuni: 127 x 203 x 12 mm
Greutate: 0.25 kg
Ediția:Softcover reprint of the original 1st ed. 1999
Editura: Springer
Colecția Copernicus
Locul publicării:New York, NY, United States
Public țintă
Popular/generalCuprins
[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.
Recenzii
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…"
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…"
Notă biografică
Edward Beltrami is Professor Emeritus in the Department of Applied Mathematics at Stony Brook University in Long Island, New York. His research interests include probability theory, mathematical biology, mathematical modelling, and many more. He is the author of several books on the applications of mathematics.
Beltrami lives with his wife and several cats in suburban Long Island. He enjoys cooking, listening to music, and being a part-time wine critic.
Beltrami lives with his wife and several cats in suburban Long Island. He enjoys cooking, listening to music, and being a part-time wine critic.
Textul de pe ultima copertă
We all know what randomness is. Or do we? Randomness turns out to be one of those concepts that works just fine on an everyday level, but becomes muddled upon close inspection. People familiar with quantum indeterminacy tell us that order is an illusion and that the world is fundamentally random. Yet these same people also say that randomness is an illusion: The appearance of randomness is only a sign of our ignorance and inability to detect the pattern.
By applying mathematical thinking, mathematician Edward Beltrami removes much of the vagueness that encumbers the concept of randomness. You will discover how to quantify what would otherwise remain elusive. As the book progresses, you will see how mathematics provides a framework for unifying how chance is interpreted across diverse disciplines.
This book will provoke, entertain, and inform by challenging your ideas about randomness, providing different interpretations of what this concept means, and showing how order and randomness are really two sides of the same mysterious coin. This second edition brings the question of randomness into the twenty-first century, adding compelling new topics such as quantum uncertainty, cognitive illusions caused by chance, Poisson processes, and Bayesian probability.
On the first edition:
I strongly recommend [What is Random?] 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. The American Statistician
By applying mathematical thinking, mathematician Edward Beltrami removes much of the vagueness that encumbers the concept of randomness. You will discover how to quantify what would otherwise remain elusive. As the book progresses, you will see how mathematics provides a framework for unifying how chance is interpreted across diverse disciplines.
This book will provoke, entertain, and inform by challenging your ideas about randomness, providing different interpretations of what this concept means, and showing how order and randomness are really two sides of the same mysterious coin. This second edition brings the question of randomness into the twenty-first century, adding compelling new topics such as quantum uncertainty, cognitive illusions caused by chance, Poisson processes, and Bayesian probability.
On the first edition:
I strongly recommend [What is Random?] 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. The American Statistician
Caracteristici
Uses approachable mathematical ideas to explore what exactly makes something random Communicates the concept of chance in an accessible manner that encompasses a range of disciplines Includes in the second edition new coverage of quantum uncertainty and cognitive illusions, alongside expanded technical notes