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This is a masterly introduction to the modern and rigorous theory of probability. The author adopts the martingale theory as his main theme and moves at a lively pace through the subject's rigorous foundations. Measure theory is introduced and then immediately exploited by being applied to real probability theory. Classical results, such as Kolmogorov's Strong Law of Large Numbers and Three-Series Theorem are proved by martingale techniques. A proof of the Central Limit Theorem is also given. The author's style is entertaining and inimitable with pedagogy to the fore. Exercises play a vital role; there is a full quota of interesting and challenging problems, some with
This is a masterly introduction to the modern and rigorous theory of probability. The author adopts the martingale theory as his main theme and moves at a lively pace through the subject's rigorous foundations. Measure theory is introduced and then immediately exploited by being applied to real
This classroom-tested textbook is an introduction to probability theory, with the right balance between mathematical precision, probabilistic intuition, and concrete applications. Introduction to Probability covers the material precisely, while avoiding excessive technical details. After
Taking Chances presents an entertaining and fascinating exploration of probability, revealing traps and fallacies in the field. It describes and analyzes a remarkable variety of situations where chance plays a role, including football pools, the Lottery, TV games, sport, cards, roulette, coins, and
Packed with practical tips and techniques for solving probability problems Increase your chances of acing that probability exam -- or winning at the casino Whether you're hitting the books for a probability or statistics course or hitting the tables at a casino, working out probabilities can be
The Little Quick Fix to Understanding Probability breaks it down step by step with crystal clear examples and exercises from one of the leading quantitative teachers in the UK. All you need is an hour and you′ll finally get it. Once it clicks into place, you can nail that section of your exam
A unique opportunity to sample the rich and wide-ranging thought of Rowan Williams, as he talks about the spiritual issues and intellectual passions that are most dear to his
Written by leading subject specialists, Teaching Probability is designed to support teaching concepts in probability by providing a new approach to this difficult subject from a perspective not limited by a syllabus, giving teachers both theoretical and practical knowledge of an innovative way of
With a trademark lightness of touch, Ian Williams provides another gentle look at the sufferings of humanity in this long-awaited follow-up to his much-acclaimed debut, The Bad
Geared toward an introductory audience through its conversational style, Introduction to Probability uses visuals, examples, and a stepped out approach to problem solving to get students comfortable with the math involved in the
Exploring the application of Bayesian probabilistic modeling techniques to musical issues, including the perception of key and meter.In Music and Probability, David Temperley explores issues in music perception and cognition from a probabilistic perspective. The application of probabilistic ideas
For most people, climbing a ladder to clear the gutters is a challenge. Jack Williams and his colleagues in the specialist signals unit supporting the SAS in Northern Ireland had to climb towers and maintain vital communications - often in full view and under fire from terrorists.This is the
What if your mother had been writing to a serial killer?A convicted murderer with a story to tellSerial killer Michael Reave - known as The Red Wolf - has been locked in Belmarsh Prison for over 20 years for the brutal and ritualistic murders of countless women.A grieving daughter with a secret to
Rowan Williams says that David Bentley Hart 'can always be relied on to offer a perspective on the Christian faith that is both profound and unexpected.' The Hidden and the Manifest, a new collection of this brilliant scholar's work, contains twenty essays by Hart on theology and metaphysics
This book, a concise introduction to modern probability theory and certain of its ramifications, deals with a subject indispensable to natural scientists and mathematicians alike. Here the readers, with some knowledge of mathematics, will find an excellent treatment of the elements of probability
With over three hundred new and previously published short stories as well as three novellas, The Collected Stories of Diane Williams brings together distilled works of 'unsettling brilliance' (Vanity Fair) that have rewritten the rules of American short fiction. From Ben Marcus' introduction to
Probability is an area of mathematics of tremendous contemporary importance across all aspects of human endeavour. This book is a compact account of the basic features of probability and random processes at the level of first and second year mathematics undergraduates and Masters' students in
This new edition of a foundational text presents a contemporary review of cladistics, as applied to biological classification. It provides a comprehensive account of the past fifty years of discussion on the relationship between classification, phylogeny and evolution. It covers cladistics in the
With her signature comic-strip style, Marcia WIlliams takes us behind the scenes at some of ancient Rome's most famous
Best-selling author Brittany Williams returns with Instant Loss on a Budget, featuring delicious, crowd-pleasing meals that are as friendly for your wallet as they are for your waistline. After a decade of yo-yo dieting and a lifelong battle with the scale, Brittany Williams topped out at 260