Radically Elementary Probability Theory

Radically Elementary Probability Theory
Author: Edward Nelson
Publisher: Princeton University Press
Total Pages: 112
Release: 1987
Genre: Mathematics
ISBN: 9780691084749

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.

Radically Elementary Probability Theory. (AM-117), Volume 117

Radically Elementary Probability Theory. (AM-117), Volume 117
Author: Edward Nelson
Publisher: Princeton University Press
Total Pages: 109
Release: 2016-03-02
Genre: Mathematics
ISBN: 1400882141

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.

High-Dimensional Probability

High-Dimensional Probability
Author: Roman Vershynin
Publisher: Cambridge University Press
Total Pages: 299
Release: 2018-09-27
Genre: Business & Economics
ISBN: 1108415199

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

Probability Space

Probability Space
Author: Nancy Kress
Publisher: Macmillan
Total Pages: 372
Release: 2004-01-05
Genre: Fiction
ISBN: 9780765345141

Nancy Kress cemented her reputation in SF with the publication of her multiple-award–winning novella, “Beggars in Spain,” which became the basis for her extremely successful Beggars Trilogy (comprising Beggars in Spain, Beggars and Choosers, and Beggars Ride). And now she brings us Probability Space, the conclusion of the trilogy that began with Probability Moon and then Probability Sun, which is centered on the same world as Kress’s Nebula Award-winning novelette, “Flowers of Aulit Prison.” The Probability Trilogy has already been widely recognized as the next great work by this important SF writer. In Probability Space, humanity’s war with the alien Fallers continues, and it is a war we are losing. Our implacable foes ignore all attempts at communication, and they take no prisoners. Our only hope lies with an unlikely coalition: Major Lyle Kaufman, retired warrior; Marbet Grant, the Sensitive who’s involved with Kaufman; Amanda, a very confused fourteen-year-old girl; and Magdalena, one of the biggest power brokers in all of human space. As the action moves from Earth to Mars to the farthest reaches of known space, with civil unrest back home and alien war in deep space, four humans--armed with little more than an unproven theory--try to enter the Fallers’ home star system. It’s a desperate gamble, and the fate of the entire universe may hang in the balance.

A Modern Theory of Random Variation

A Modern Theory of Random Variation
Author: Patrick Muldowney
Publisher: John Wiley & Sons
Total Pages: 493
Release: 2013-04-26
Genre: Science
ISBN: 1118345940

A ground-breaking and practical treatment of probability and stochastic processes A Modern Theory of Random Variation is a new and radical re-formulation of the mathematical underpinnings of subjects as diverse as investment, communication engineering, and quantum mechanics. Setting aside the classical theory of probability measure spaces, the book utilizes a mathematically rigorous version of the theory of random variation that bases itself exclusively on finitely additive probability distribution functions. In place of twentieth century Lebesgue integration and measure theory, the author uses the simpler concept of Riemann sums, and the non-absolute Riemann-type integration of Henstock. Readers are supplied with an accessible approach to standard elements of probability theory such as the central limmit theorem and Brownian motion as well as remarkable, new results on Feynman diagrams and stochastic integrals. Throughout the book, detailed numerical demonstrations accompany the discussions of abstract mathematical theory, from the simplest elements of the subject to the most complex. In addition, an array of numerical examples and vivid illustrations showcase how the presented methods and applications can be undertaken at various levels of complexity. A Modern Theory of Random Variation is a suitable book for courses on mathematical analysis, probability theory, and mathematical finance at the upper-undergraduate and graduate levels. The book is also an indispensible resource for researchers and practitioners who are seeking new concepts, techniques and methodologies in data analysis, numerical calculation, and financial asset valuation. Patrick Muldowney, PhD, served as lecturer at the Magee Business School of the UNiversity of Ulster for over twenty years. Dr. Muldowney has published extensively in his areas of research, including integration theory, financial mathematics, and random variation.

Real Analysis and Probability

Real Analysis and Probability
Author: R. M. Dudley
Publisher: CRC Press
Total Pages: 479
Release: 2018-02-01
Genre: Mathematics
ISBN: 1351093096

Written by one of the best-known probabilists in the world this text offers a clear and modern presentation of modern probability theory and an exposition of the interplay between the properties of metric spaces and those of probability measures. This text is the first at this level to include discussions of the subadditive ergodic theorems, metrics for convergence in laws and the Borel isomorphism theory. The proofs for the theorems are consistently brief and clear and each chapter concludes with a set of historical notes and references. This book should be of interest to students taking degree courses in real analysis and/or probability theory.

Analytic Combinatorics

Analytic Combinatorics
Author: Philippe Flajolet
Publisher: Cambridge University Press
Total Pages: 825
Release: 2009-01-15
Genre: Mathematics
ISBN: 1139477161

Analytic combinatorics aims to enable precise quantitative predictions of the properties of large combinatorial structures. The theory has emerged over recent decades as essential both for the analysis of algorithms and for the study of scientific models in many disciplines, including probability theory, statistical physics, computational biology, and information theory. With a careful combination of symbolic enumeration methods and complex analysis, drawing heavily on generating functions, results of sweeping generality emerge that can be applied in particular to fundamental structures such as permutations, sequences, strings, walks, paths, trees, graphs and maps. This account is the definitive treatment of the topic. The authors give full coverage of the underlying mathematics and a thorough treatment of both classical and modern applications of the theory. The text is complemented with exercises, examples, appendices and notes to aid understanding. The book can be used for an advanced undergraduate or a graduate course, or for self-study.

An Introduction to Probability and Inductive Logic

An Introduction to Probability and Inductive Logic
Author: Ian Hacking
Publisher: Cambridge University Press
Total Pages: 326
Release: 2001-07-02
Genre: Mathematics
ISBN: 9780521775014

An introductory 2001 textbook on probability and induction written by a foremost philosopher of science.

The Oxford Handbook of the Radical Right

The Oxford Handbook of the Radical Right
Author: Jens Rydgren
Publisher: Oxford University Press
Total Pages: 761
Release: 2018
Genre: Political Science
ISBN: 0190274557

The radical right : an introduction / Jens Rydgren -- Ideology and discourse -- The radical right and nationalism / Tamir Bar-On -- The radical right and islamophobia / Aristotle Kallis -- The radical right and anti-semitism / Ruth Wodak -- The radical right and populism / Hans-Georg Betz -- The radical right and fascism / Nigel Copsey -- The radical right and euroscepticism / Sofia Vasilopoulou -- Issues -- Explaining electoral support for the radical right / Kai Arzheimer -- Party systems and radical right-wing parties / Herbert Kitschelt -- The radical right and gender / Hilde Coffé -- Globalization, cleavages, and the radical right / Simon Bornschier -- Party organization and the radical right / David Art -- Charisma and the radical right / Roger Eatwell -- Media and the radical right / Antonis A. Ellinas -- The non-party sector of the radical right / John Veugelers and Gabriel Menard -- The political impact of the radical right / Michelle Hale Williams -- The radical right as social movement organizations / Manuela Caiani and Donatella Della Porta -- Youth and the radical right / Cynthia Miller Idriss -- Religion and the radical right / Michael Minkenberg -- Cross-national links and international cooperation / Manuela Caiani -- Political violence and the radical right / Leonard Weinberg and Eliot Assoudeh -- Case studies -- The radical right in France / Nonna Mayer -- The radical right in Germany, Austria, and Switzerland / Uwe Backes -- The radical right in Belgium and the Netherlands / Joop J.M. van Holsteyn -- The radical right in Southern Europe / Carlo Ruzza -- The radical right in the UK / Matthew J. Goodwin and James Dennison -- The radical right in the Nordic countries / Anders Widfeldt -- The radical right in Eastern Europe / Lenka Butíková -- The radical right in post-soviet Russia / Richard Arnold and Andreas Umland -- The radical right in post-soviet Ukraine / Melanie Mierzejewski-Voznyak -- The radical right in the United States of America / Christopher Sebastian Parker -- The radical right in Australia / Andy Fleming and Aurelien Mondon -- The radical right in Israel / Arie Perliger and Ami Pedhazur -- The radical right in Japan / Naoto Higuchi

Luck, Logic, and White Lies

Luck, Logic, and White Lies
Author: Jörg Bewersdorff
Publisher: CRC Press
Total Pages: 498
Release: 2021-04-28
Genre: Mathematics
ISBN: 100037209X

Praise for the First Edition "Luck, Logic, and White Lies teaches readers of all backgrounds about the insight mathematical knowledge can bring and is highly recommended reading among avid game players, both to better understand the game itself and to improve one’s skills." – Midwest Book Review "The best book I've found for someone new to game math is Luck, Logic and White Lies by Jörg Bewersdorff. It introduces the reader to a vast mathematical literature, and does so in an enormously clear manner. . ." – Alfred Wallace, Musings, Ramblings, and Things Left Unsaid "The aim is to introduce the mathematics that will allow analysis of the problem or game. This is done in gentle stages, from chapter to chapter, so as to reach as broad an audience as possible . . . Anyone who likes games and has a taste for analytical thinking will enjoy this book." – Peter Fillmore, CMS Notes Luck, Logic, and White Lies: The Mathematics of Games, Second Edition considers a specific problem—generally a game or game fragment and introduces the related mathematical methods. It contains a section on the historical development of the theories of games of chance, and combinatorial and strategic games. This new edition features new and much refreshed chapters, including an all-new Part IV on the problem of how to measure skill in games. Readers are also introduced to new references and techniques developed since the previous edition. Features Provides a uniquely historical perspective on the mathematical underpinnings of a comprehensive list of games Suitable for a broad audience of differing mathematical levels. Anyone with a passion for games, game theory, and mathematics will enjoy this book, whether they be students, academics, or game enthusiasts Covers a wide selection of topics at a level that can be appreciated on a historical, recreational, and mathematical level. Jörg Bewersdorff (1958) studied mathematics from 1975 to 1982 at the University of Bonn and earned his PhD in 1985. In the same year, he started his career as game developer and mathematician. He served as the general manager of the subsidiaries of Gauselmann AG for more than two decades where he developed electronic gaming machines, automatic payment machines, and coin-operated Internet terminals. Dr. Bewersdorff has authored several books on Galois theory (translated in English and Korean), mathematical statistics, and object-oriented programming with JavaScript.