Report on Probability A
Report on Probability A

Author: Brian W. Aldiss

Publisher: Open Road Media

Published: 2015-05-19

Total Pages: 129

ISBN-13: 1504010329

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An unending chain of surveillance crosses countless dimensions in this brilliant, disturbing, and groundbreaking “antinovel” by one of science fiction’s greatest practitioners Mr. Mary and his wife are being observed from at least three vantage points as they go about their mundane home lives. G, the former gardener, watches them from a garden shed. Mr. Mary’s dismissed secretary, S, watches them from the top room of a brick outhouse in the back. The chauffeur, C, who no longer drives, watches the Marys from the garage. Each observer must file a report with his superiors in another continuum, pausing in his surveillance only long enough to eat identical meals alone at the deserted café across the street. But the watchers are themselves being observed by others who are, in turn, being watched across vast and infinite dimensional planes in an attempt to unravel the mysteries of the world known as Probability A. This brilliant, experimental work by Grand Master Brian W. Aldiss is a perplexing and devastatingly haunting masterwork of speculative fiction, considered by many to be the greatest work in the long, prolific career of a true giant of the genre. Thought-provoking, confounding, and stylistically brilliant, Report on Probability A will burn its way into the reader’s mind and memory.

Probability and Computing
Probability and Computing

Author: Michael Mitzenmacher

Publisher: Cambridge University Press

Published: 2005-01-31

Total Pages: 372

ISBN-13: 9780521835404

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Randomization and probabilistic techniques play an important role in modern computer science, with applications ranging from combinatorial optimization and machine learning to communication networks and secure protocols. This 2005 textbook is designed to accompany a one- or two-semester course for advanced undergraduates or beginning graduate students in computer science and applied mathematics. It gives an excellent introduction to the probabilistic techniques and paradigms used in the development of probabilistic algorithms and analyses. It assumes only an elementary background in discrete mathematics and gives a rigorous yet accessible treatment of the material, with numerous examples and applications. The first half of the book covers core material, including random sampling, expectations, Markov's inequality, Chevyshev's inequality, Chernoff bounds, the probabilistic method and Markov chains. The second half covers more advanced topics such as continuous probability, applications of limited independence, entropy, Markov chain Monte Carlo methods and balanced allocations. With its comprehensive selection of topics, along with many examples and exercises, this book is an indispensable teaching tool.

Radically Elementary Probability Theory
Radically Elementary Probability Theory

Author: Edward Nelson

Publisher: Princeton University Press

Published: 1987

Total Pages: 112

ISBN-13: 9780691084749

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Using only the very elementary framework of finite probability spaces, this book treats a number of topics in the modern theory of stochastic processes. This is made possible by using a small amount of Abraham Robinson's nonstandard analysis and not attempting to convert the results into conventional form.

The Probability of God
The Probability of God

Author: Dr. Stephen D. Unwin

Publisher: Forum Books

Published: 2004-10-26

Total Pages: 274

ISBN-13: 1400054788

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Does God exist? This is probably the most debated question in the history of mankind. Scholars, scientists, and philosophers have spent their lifetimes trying to prove or disprove the existence of God, only to have their theories crucified by other scholars, scientists, and philosophers. Where the debate breaks down is in the ambiguities and colloquialisms of language. But, by using a universal, unambiguous language—namely, mathematics—can this question finally be answered definitively? That’s what Dr. Stephen Unwin attempts to do in this riveting, accessible, and witty book, The Probability of God. At its core, this groundbreaking book reveals how a math equation developed more than 200 years ago by noted European philosopher Thomas Bayes can be used to calculate the probability that God exists. The equation itself is much more complicated than a simple coin toss (heads, He’s up there running the show; tails, He’s not). Yet Dr. Unwin writes with a clarity that makes his mathematical proof easy for even the nonmathematician to understand and a verve that makes his book a delight to read. Leading you carefully through each step in his argument, he demonstrates in the end that God does indeed exist. Whether you’re a devout believer and agree with Dr. Unwin’s proof or are unsure about all things divine, you will find this provocative book enlightening and engaging. “One of the most innovative works [in the science and religion movement] is The Probability of God...An entertaining exercise in thinking.”—Michael Shermer, Scientific American “Unwin’s book [is] peppered with wry, self-deprecating humor that makes the scientific discussions more accessible...Spiritually inspiring.”--Chicago Sun Times “A pleasantly breezy account of some complicated matters well worth learning about.”--Philadelphia Inquirer “One of the best things about the book is its humor.”--Cleveland Plain Dealer “In a book that is surprisingly lighthearted and funny, Unwin manages to pack in a lot of facts about science and philosophy.”--Salt Lake Tribune

High-Dimensional Probability
High-Dimensional Probability

Author: Roman Vershynin

Publisher: Cambridge University Press

Published: 2018-09-27

Total Pages: 299

ISBN-13: 1108415199

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An integrated package of powerful probabilistic tools and key applications in modern mathematical data science.

A Probability and Statistics Companion
A Probability and Statistics Companion

Author: John J. Kinney

Publisher: John Wiley & Sons

Published: 2009-05-06

Total Pages: 280

ISBN-13: 9780470486962

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An accessible and engaging introduction to the study of probability and statistics Utilizing entertaining real-world examples, A Probability and Statistics Companion provides aunique, interesting, and accessible introduction to probability and statistics. This one-of-a-kind book delves into practical topics that are crucial in the analysis of sample surveys and experimentation. This handy book contains introductory explanations of the major topics in probability and statistics, including hypothesis testing and regression, while also delving into more advanced topics such as the analysis of sample surveys, analysis of experimental data, and statistical process control. The book recognizes that there are many sampling techniques that can actually improve on simple random sampling, and in addition, an introduction to the design of experiments is provided to reflect recent advances in conducting scientific experiments. This blend of coverage results in the development of a deeper understanding and solid foundation for the study of probability and statistics. Additional topical coverage includes: Probability and sample spaces Choosing the best candidate Acceptance sampling Conditional probability Random variables and discrete probability distributions Waiting time problems Continuous probability distributions Statistical inference Nonparametric methods Least squares and medians Recursions and probability Each chapter contains exercises and explorations for readers who wish to conduct independent projects or investigations. The discussion of most methods is complemented with applications to engaging, real-world scenarios such as winning speeds at the Indianapolis 500 and predicting winners of the World Series. In addition, the book enhances the visual nature of the subject with numerous multidimensional graphical representations of the presented examples. A Probability and Statistics Companion is an excellent book for introductory probability and statistics courses at the undergraduate level. It is also a valuable reference for professionals who use statistical concepts to make informed decisions in their day-to-day work.

A Modern Introduction to Probability and Statistics
A Modern Introduction to Probability and Statistics

Author: F.M. Dekking

Publisher: Springer Science & Business Media

Published: 2006-03-30

Total Pages: 485

ISBN-13: 1846281687

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Suitable for self study Use real examples and real data sets that will be familiar to the audience Introduction to the bootstrap is included – this is a modern method missing in many other books

Probability
Probability

Author: Guy Lebanon

Publisher:

Published: 2012-10-09

Total Pages: 346

ISBN-13: 9781479344765

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Introduction to probability theory with an emphasis on the multivariate case. Includes random vectors, random processes, Markov chains, limit theorems, and related mathematics such as metric spaces, measure theory, and integration.