Classic Problems of Probability

Author: Prakash Gorroochurn
Publisher: John Wiley & Sons
ISBN: 1118063252
Format: PDF, Mobi
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Detailing the history of probability, this book examines the classic problems of probability that have shaped the field and emphasizes problems that are counter-intuitive by nature. Classic Problems of Probability is rich in the history of probability while keeping the explanations and discussions as accessible as possible.

Classic Problems of Probability

Author: Prakash Gorroochurn
Publisher: John Wiley & Sons
ISBN: 1118314336
Format: PDF
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Winner of the 2012 PROSE Award for Mathematics from The American Publishers Awards for Professional and Scholarly Excellence. "A great book, one that I will certainly add to my personal library." —Paul J. Nahin, Professor Emeritus of Electrical Engineering, University of New Hampshire Classic Problems of Probability presents a lively account of the most intriguing aspects of statistics. The book features a large collection of more than thirty classic probability problems which have been carefully selected for their interesting history, the way they have shaped the field, and their counterintuitive nature. From Cardano's 1564 Games of Chance to Jacob Bernoulli's 1713 Golden Theorem to Parrondo's 1996 Perplexing Paradox, the book clearly outlines the puzzles and problems of probability, interweaving the discussion with rich historical detail and the story of how the mathematicians involved arrived at their solutions. Each problem is given an in-depth treatment, including detailed and rigorous mathematical proofs as needed. Some of the fascinating topics discussed by the author include: Buffon's Needle problem and its ingenious treatment by Joseph Barbier, culminating into a discussion of invariance Various paradoxes raised by Joseph Bertrand Classic problems in decision theory, including Pascal's Wager, Kraitchik's Neckties, and Newcomb's problem The Bayesian paradigm and various philosophies of probability Coverage of both elementary and more complex problems, including the Chevalier de Méré problems, Fisher and the lady testing tea, the birthday problem and its various extensions, and the Borel-Kolmogorov paradox Classic Problems of Probability is an eye-opening, one-of-a-kind reference for researchers and professionals interested in the history of probability and the varied problem-solving strategies employed throughout the ages. The book also serves as an insightful supplement for courses on mathematical probability and introductory probability and statistics at the undergraduate level.

Probability Theory of Classical Euclidean Optimization Problems

Author: Joseph E. Yukich
Publisher: Springer
ISBN: 354069627X
Format: PDF, ePub, Mobi
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This monograph describes the stochastic behavior of the solutions to the classic problems of Euclidean combinatorial optimization, computational geometry, and operations research. Using two-sided additivity and isoperimetry, it formulates general methods describing the total edge length of random graphs in Euclidean space. The approach furnishes strong laws of large numbers, large deviations, and rates of convergence for solutions to the random versions of various classic optimization problems, including the traveling salesman, minimal spanning tree, minimal matching, minimal triangulation, two-factor, and k-median problems. Essentially self-contained, this monograph may be read by probabilists, combinatorialists, graph theorists, and theoretical computer scientists.

Probability Theory of Classical Euclidean Optimization Problems

Author: Joseph E. Yukich
Publisher: Springer
ISBN: 354069627X
Format: PDF
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This monograph describes the stochastic behavior of the solutions to the classic problems of Euclidean combinatorial optimization, computational geometry, and operations research. Using two-sided additivity and isoperimetry, it formulates general methods describing the total edge length of random graphs in Euclidean space. The approach furnishes strong laws of large numbers, large deviations, and rates of convergence for solutions to the random versions of various classic optimization problems, including the traveling salesman, minimal spanning tree, minimal matching, minimal triangulation, two-factor, and k-median problems. Essentially self-contained, this monograph may be read by probabilists, combinatorialists, graph theorists, and theoretical computer scientists.

Peerless Probability Problems Other Puzzles

Author: Ivan Moscovich
Publisher: Sterling Publishing Company, Inc.
ISBN: 9781402727450
Format: PDF, ePub, Docs
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What makes these puzzles so special? Not only does each one illustrate some of the most classic theories in math, logic, and perception, but they’re eye-catching too. Stare at brilliantly hued concentric circles, inspired by the “video active” paintings of the Parisian artist Isia Leviant; if you continue to look long enough, a spinning white blur will appear. Or imagine that you have a drawerful of socks in different colors—7 red, 7 yellow, and 7 green pairs. If you pulled some out in complete darkness, how many would you have to take before you’d be sure of having a pair in each color? Or solve word puzzles, paradoxes, and the mystery of the rolling photo cube.

The Probability That a Numerical Analysis Problem Is Difficult Classic Reprint

Author: James W. Demmel
Publisher: Forgotten Books
ISBN: 9780484032421
Format: PDF, Mobi
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Excerpt from The Probability That a Numerical, Analysis Problem Is Difficult The main justification for using a uniform distribution is that it appears to be fair: each problem is as likely as any other. However, it does not appear to apply in many practical cases for a variety of reasons, including the fact that any set of problems which can be represented in a computer is necessarily discrete rather than continuous. We will discuss the validity of our choice of uniform distribution as well as alternatives at length in section 6 below. Finally, given this distribution, we must compute the induced probability distribution of the condition number. It turns out that all the problems we consider here have a common geometric structure which lets us compute the distributions of their condition numbers with a single analysis, which goes as follows. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

Fifty Challenging Problems in Probability with Solutions

Author: Frederick Mosteller
Publisher: Courier Corporation
ISBN: 0486134962
Format: PDF, Docs
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Remarkable puzzlers, graded in difficulty, illustrate elementary and advanced aspects of probability. These problems were selected for originality, general interest, or because they demonstrate valuable techniques. Also includes detailed solutions.

Probability

Author: Robert P. Dobrow
Publisher: John Wiley & Sons
ISBN: 1118589440
Format: PDF, ePub
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An introduction to probability at the undergraduate level Chance and randomness are encountered on a daily basis. Authored by a highly qualified professor in the field, Probability: With Applications and R delves into the theories and applications essential to obtaining a thorough understanding of probability. With real-life examples and thoughtful exercises from fields as diverse as biology, computer science, cryptology, ecology, public health, and sports, the book is accessible for a variety of readers. The book’s emphasis on simulation through the use of the popular R software language clarifies and illustrates key computational and theoretical results. Probability: With Applications and R helps readers develop problem-solving skills and delivers an appropriate mix of theory and application. The book includes: Chapters covering first principles, conditional probability, independent trials, random variables, discrete distributions, continuous probability, continuous distributions, conditional distribution, and limits An early introduction to random variables and Monte Carlo simulation and an emphasis on conditional probability, conditioning, and developing probabilistic intuition An R tutorial with example script files Many classic and historical problems of probability as well as nontraditional material, such as Benford’s law, power-law distributions, and Bayesian statistics A topics section with suitable material for projects and explorations, such as random walk on graphs, Markov chains, and Markov chain Monte Carlo Chapter-by-chapter summaries and hundreds of practical exercises Probability: With Applications and R is an ideal text for a beginning course in probability at the undergraduate level.

The Colossal Book of Mathematics

Author: Martin Gardner
Publisher: W. W. Norton & Company
ISBN: 9780393020236
Format: PDF, ePub
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The author presents a selection of pieces from his Scientific American "Mathematical Games" column, presenting puzzles and concepts that range from arithmetic and geometrical games to the meaning of M.C. Escher's artwork.