
What Is Random?
Chance and Order in Mathematics and Life
Edward Beltrami(Author)
Springer (Publisher)
Published on 28. October 2012
Book
Paperback/Softback
XX, 201 pages
978-1-4612-7156-7 (ISBN)
Shipment within 15-20 days
Description
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.
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.
Reviews / Votes
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."
More details
Edition
Softcover reprint of the original 1st ed. 1999
Language
English
Place of publication
New York
United States
Target group
Professional and scholarly
Popular/general
Product notice
Paperback (trade)
Unsewn / adhesive bound
Illustrations
XX, 201 p.
Dimensions
Height: 203 mm
Width: 127 mm
Thickness: 13 mm
Weight
246 gr
ISBN-13
978-1-4612-7156-7 (9781461271567)
DOI
10.1007/978-1-4612-1472-4
Schweitzer Classification
Other editions
New editions

Book
07/2020
2nd Edition
Springer
€37.44
Shipment within 15-20 days
Additional editions

E-Book
12/2012
Copernicus
€13.90
Available for download

Book
08/1999
Springer
€18.14
Article exhausted; check for reprint
Person
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.
Content
[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.