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What Is Random?: Chance and Order in Mathematics and Life, by Edward Beltrami
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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.
- Sales Rank: #1727318 in eBooks
- Published on: 1999-08-13
- Released on: 1999-08-13
- Format: Kindle eBook
Review
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…"
From the Inside Flap
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 mysteriously disappears once we closely examine its fine structure. Using a mathematical approach, the author removes much of the vagueness that encumbers the concept of randomness and permits us to quantify what would otherwise remain elusive. Mathematics also provides a framework for unifying how chance is interpreted from the diverse perspectives of psychologists, physicists, computer scientists, and communication theorists. This book will provoke, entertain, and inform by challenging your ideas about randomness, providing different interpretations of what this elusive concept means. As the book progresses, you will see how mathematics, communication engineering, computer science, philosophy, physics, and psychology all contribute to the discourse by illuminating different facets of the same idea.
About the Author
Edward Beltrami is Professor of Applied Mathematics and Statistics at the State University of New York at Stoney Brook. His professional interests are in the application of dynamical systems, including algae dynamics and blood clotting. He is also an ardent wine aficionado and writes for several wine publications.
Most helpful customer reviews
3 of 3 people found the following review helpful.
A GREAT book (not a term I use lightly)
By Phil O.
For entry level (and with an elegance that goes far beyond that), there is nothing like this. I have been rummaging through sources looking in essence for this book -- one which straightforwardly, using common sense and logic wherever possible, with a masterful use of language, great clarity and also a sense of deeper aspects of the topic, walks me sensibly up through the concepts. I would rate this above anything I've seen from more popular authors (such as Nassim Taleb). This author is a great teacher, again a term I very rarely use, and I reserve for only the highest praise. The "look inside" feature confirms it. This book is bringing about a sea change in the level of my understanding, and is opening the doors for me to move readily to more technical books. I read maybe three books a week, and rarely am I brought to such rapt enjoyment, such an immediate sense of reward and gain for my time. I wonder why so many authors digress into noisy tangents and don't follow the thread and build block upon block so well as this one does!
10 of 14 people found the following review helpful.
RANDOM AND CONFUSING THOUGHTS
By A Customer
A well meaning, but totally sloppy book -- botn in writing style and clarity of thought. Interesting for the range of topics it suggests relate to its subject, although its coverage of them is aweful. It is somewhat useful for the references it offers, in case the frustrated reader is still interested enough in the topics to try and make up for the book's own failures by reading up on them elsewhere. As for the rest, it is hard to follow and confusing on all but the most elementary points.
1 of 1 people found the following review helpful.
interesting, but pedagogically feeble
By Brian Hughes
This book is contains a fairly substantial (from the layman's point of view) discussion of randomness. It discusses the fundamentals of probability, information/entropy, etc. It ends with an appendix of "technical notes", an appendix on binary notation and 6 pages of references. But it has no exercises, and presents its material as if the layman could assimilate it by simple passive reading. Not so. You need a paper and pencil. You need to manufacture exercises to master or even understand the material. I am comfortable with algebra and basic calculus, but got lost and gave up after a couple of chapters (I did not break out pencil and paper).
If you are not mathematically sophisticated enough to just "get it" by reading, I suggest you buy a real textbook, where the author is actually makes a commitment to teaching, rather than mere exposition.
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