This is a book of elementary probability theory that includes a chapter on algorithmic randomness. It rigorously presents definitions and theorems in computation theory, and explains the meanings of the theorems by comparing them with mechanisms of the computer, which is very effective in the current computer age.
Random number topics have not been treated by any books on probability theory, only some books on computation theory. However, the notion of random number is necessary for understanding the essential relation between probability and randomness. The field of probability has changed very much, thus this book will make and leave a big impact even to expert probabilists.
Readers from applied sciences will benefit from this book because it presents a very proper foundation of the Monte Carlo method with practical solutions, keeping the technical level no higher than 1st year university calculus.
This book is about one imperfect family's adventures, as told through stories about the events they have experienced together. Nearly every idea included began with a spur-of-the-moment action that either produced a useful result...or didn't. What worked, they did again. What didn't, they discarded. Some are humorous and all are insightful. You will see yourself in these stories and learn how to apply the wisdom you have gained from your own childhood and now as a parent.
Glenda Wilkes, PhD, a developmental psychologist and parent of six (now grown and married) children has written and assembled a delightfully entertaining and enlightening collection of stories about her family. The lessons she learned will broaden your family's understanding of each other and help you create a shared learning dynamic. The result will be a more focused, thoughtful, and interactive parenting style. And you will have fun uncovering the underlying principles inherent in family life.
New York Times best-selling author Dr. Kevin Leman touts Dr. Wilkes as "a narrator who has soaked up the details of her family's adventures and recounts them with humor and insight. This is a book you'll read again and again. It will cause you to recall your own childhood as well as give you new ideas for your own children."
All of us have family stories. Now it's time to discover how to learn from them
Описание: Mathematics has been called the science of order. This book intends to provide examples - and proofs - of the complexity law: discrete systems are either simple or they exhibit advanced pseudorandomness and a priori probabilities often exist even when there is no intrinsic symmetry.
Описание: When the fuzzy indeterminacy of quantum mechanics overthrew the orderly world of Isaac Newton, Albert Einstein and Erwin Schrodinger were at the forefront of the revolution. Neither man was ever satisfied with the standard interpretation of quantum mechanics, however, and both rebelled against what they considered the most preposterous aspect of quantum mechanics: its randomness. Einstein famously quipped that God does not play dice with the universe, and Schrodinger constructed his famous fable of a cat that was neither alive nor dead not to explain quantum mechanics but to highlight the apparent absurdity of a theory gone wrong. But these two giants did more than just criticize: they fought back, seeking a Theory of Everything that would make the universe seem sensible again.In Einstein`s Dice and Schrodinger`s Cat , physicist Paul Halpern tells the little-known story of how Einstein and Schrodinger searched, first as collabourators and then as competitors, for a theory that transcended quantum weirdness. This story of their quest,which ultimately failed,provides readers with new insights into the history of physics and the lives and work of two scientists whose obsessions drove its progress.Today, much of modern physics remains focused on the search for a Theory of Everything. As Halpern explains, the recent discovery of the Higgs Boson makes the Standard Model,the closest thing we have to a unified theory, nearly complete. And while Einstein and Schrodinger failed in their attempt to explain everything in the cosmos through pure geometry, the development of string theory has, in its own quantum way, brought this idea back into vogue. As in so many things, even when they were wrong, Einstein and Schrodinger couldn`t help but get a great deal right.