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Author: Jan von Plato
Publisher: Cambridge University Press
ISBN: 9780521597357
Category : Mathematics
Languages : en
Pages : 336
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Book Description
In this book the author charts the history and development of modern probability theory.
Author: Jan von Plato
Publisher: Cambridge University Press
ISBN: 9780521597357
Category : Mathematics
Languages : en
Pages : 336
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Book Description
In this book the author charts the history and development of modern probability theory.
Author: Olav Kallenberg
Publisher: Springer Science & Business Media
ISBN: 9780387953137
Category : Mathematics
Languages : en
Pages : 670
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Book Description
The first edition of this single volume on the theory of probability has become a highly-praised standard reference for many areas of probability theory. Chapters from the first edition have been revised and corrected, and this edition contains four new chapters. New material covered includes multivariate and ratio ergodic theorems, shift coupling, Palm distributions, Harris recurrence, invariant measures, and strong and weak ergodicity.
Author: Davar Khoshnevisan
Publisher: American Mathematical Soc.
ISBN: 9780821884010
Category : Mathematics
Languages : en
Pages : 248
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Book Description
This is a textbook for a one-semester graduate course in measure-theoretic probability theory, but with ample material to cover an ordinary year-long course at a more leisurely pace. Khoshnevisan's approach is to develop the ideas that are absolutely central to modern probability theory, and to showcase them by presenting their various applications. As a result, a few of the familiar topics are replaced by interesting non-standard ones. The topics range from undergraduate probability and classical limit theorems to Brownian motion and elements of stochastic calculus. Throughout, the reader will find many exciting applications of probability theory and probabilistic reasoning. There are numerous exercises, ranging from the routine to the very difficult. Each chapter concludes with historical notes.
Author: Daniel W. Stroock
Publisher: American Mathematical Soc.
ISBN: 1470409070
Category : Mathematics
Languages : en
Pages : 299
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Book Description
This book covers the basics of modern probability theory. It begins with probability theory on finite and countable sample spaces and then passes from there to a concise course on measure theory, which is followed by some initial applications to probability theory, including independence and conditional expectations. The second half of the book deals with Gaussian random variables, with Markov chains, with a few continuous parameter processes, including Brownian motion, and, finally, with martingales, both discrete and continuous parameter ones. The book is a self-contained introduction to probability theory and the measure theory required to study it.
Author: David Stirzaker
Publisher: Cambridge University Press
ISBN: 1139441035
Category : Mathematics
Languages : en
Pages : 540
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Book Description
Now available in a fully revised and updated second edition, this well established textbook provides a straightforward introduction to the theory of probability. The presentation is entertaining without any sacrifice of rigour; important notions are covered with the clarity that the subject demands. Topics covered include conditional probability, independence, discrete and continuous random variables, basic combinatorics, generating functions and limit theorems, and an introduction to Markov chains. The text is accessible to undergraduate students and provides numerous worked examples and exercises to help build the important skills necessary for problem solving.
Author:
Publisher: Allied Publishers
ISBN: 9788177644517
Category :
Languages : en
Pages : 436
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Book Description
Probability theory
Author: Paul Humphreys
Publisher:
ISBN: 0199334870
Category : Computers
Languages : en
Pages : 301
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Book Description
This volume contains fifteen papers by Paul Humphreys, who has made important contributions to the philosophy of computer simulations, emergence, the philosophy of probability, probabilistic causality, and scientific explanation. It includes detailed postscripts to each section and a philosophical introduction. One of the papers is previously unpublished.
Author: Santhosh Mathew
Publisher: BrownWalker Press
ISBN: 1627347208
Category : Science
Languages : en
Pages : 204
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Book Description
This book introduces ten equations that transcend the boundaries of time and space. It takes readers through a journey of self-discovery where they will learn the history, science, and significance of these equations in the context of their lives. Moreover, the mathematical beauty of these equations is presented in a profoundly modest fashion to highlight the idea that equations are eternal but humans are transient. Each chapter offers readers a sublime experience and provides insights into the laws of nature that address the ever-expanding intricacy of our universe. The history of humankind, according to Franz Kafka, is the instant between two strides taken by a traveler. Therefore, what remains eternal when we finish our journey on this tiny rocky planet is our deep desire to connect with everything else in this universe. These equations capture the essence of that aspiration and remain everlasting while we continue our trivial human pursuits. These equations change the way we live and view the world and will outlast even the most enduring signs of our civilization. They have the potential to take us from planet to planet and perhaps to make us a cosmic species. They can destroy the last strand of DNA to terminate life as we know it and generate life again from the fundamental laws of nature. While these equations remain intangible, they can create a tangible world yet remain truly eternal.
Author: Claus Beisbart
Publisher: Oxford University Press
ISBN: 0199577439
Category : Philosophy
Languages : en
Pages : 450
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Book Description
This volume provides a philosophical appraisal of probabilities in all of physics. It makes sense of probabilistic statements as they occur in the various physical theories and models and presents a plausible epistemology and metaphysics of probabilities.
Author: Russell Lyons
Publisher: Cambridge University Press
ISBN: 1316785335
Category : Mathematics
Languages : en
Pages : 1023
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Book Description
Starting around the late 1950s, several research communities began relating the geometry of graphs to stochastic processes on these graphs. This book, twenty years in the making, ties together research in the field, encompassing work on percolation, isoperimetric inequalities, eigenvalues, transition probabilities, and random walks. Written by two leading researchers, the text emphasizes intuition, while giving complete proofs and more than 850 exercises. Many recent developments, in which the authors have played a leading role, are discussed, including percolation on trees and Cayley graphs, uniform spanning forests, the mass-transport technique, and connections on random walks on graphs to embedding in Hilbert space. This state-of-the-art account of probability on networks will be indispensable for graduate students and researchers alike.
