Описание: A one-year course in probability theory and the theory of random processes, taught at Princeton University to undergraduate and graduate students, forms the core of the content of this bookIt is structured in two parts: the first part providing a detailed discussion of Lebesgue integration, Markov chains, random walks, laws of large numbers, limit theorems, and their relation to Renormalization Group theory. The second part includes the theory of stationary random processes, martingales, generalized random processes, Brownian motion, stochastic integrals, and stochastic differential equations. One section is devoted to the theory of Gibbs random fields.This material is essential to many undergraduate and graduate courses. The book can also serve as a reference for scientists using modern probability theory in their research.
Автор: Durrett, Rick Название: Elementary probability for applications ISBN: 0521867568 ISBN-13(EAN): 9780521867566 Издательство: Cambridge Academ Рейтинг: Цена: 8353 р. Наличие на складе: Поставка под заказ.
Описание: This clear and lively introduction to probability theory concentrates on the results that are the most useful for applications, including combinatorial probability and Markov chains. Concise and focused, it is designed for a one-semester introductory course in probability for students who have some familiarity with basic calculus. Reflecting the author's philosophy that the best way to learn probability is to see it in action, there are more than 350 problems and 200 examples. The examples contain all the old standards such as the birthday problem and Monty Hall, but also include a number of applications not found in other books, from areas as broad ranging as genetics, sports, finance, and inventory management.
Автор: Edited by B?la Bollob?s Название: Combinatorics, Geometry and Probability ISBN: 0521607663 ISBN-13(EAN): 9780521607667 Издательство: Cambridge Academ Рейтинг: Цена: 6298 р. Наличие на складе: Поставка под заказ.
Описание: Paul Erdos was one of the greatest mathematicians of this century, known the world over for his brilliant ideas and stimulating questions. On the date of his 80th birthday a conference was held in his honour at Trinity College, Cambridge. Many leading combinatorialists attended. Their subsequent contributions are collected here. The areas represented range from set theory and geometry, through graph theory, group theory and combinatorial probability, to randomised algorithms and statistical physics. Erdos himself was able to give a survey of recent progress made on his favourite problems. Consequently this volume, consisting of in-depth studies at the frontier of research, provides a valuable panorama across the breadth of combinatorics as it is today.
Описание: This volume is an offspring of the special semester "Ergodic Theory, Geometric Rigidity and Number Theory" held at the Isaac Newton Institute for Mathematical Sciences in Cambridge, UK, from January until July, 2000. Some of the major recent developments in rigidity theory, geometric group theory, flows on homogeneous spaces and TeichmГјller spaces, quasi-conformal geometry, negatively curved groups and spaces, Diophantine approximation, and bounded cohomology are presented here. The authors have given special consideration to making the papers accessible to graduate students, with most of the contributions starting at an introductory level and building up to presenting topics at the forefront in this active field of research. The volume contains surveys and original unpublished results as well, and is an invaluable source also for the experienced researcher.
Описание: This book provides the mathematical background required for the study of fractal topics. It deals with integration in the modern sense and with mathematical
probability. The emphasis is on the particular results that aid the discussion of fractals.
The book follows on Edgar's Measure, Topology, and Fractal Geometry. With exercises
throughout the text, it is ideal for beginning graduate students both in the classroom setting and for self-study.
Описание: The theory of correlation finds its origins in the pioneering work of Francis Galton. Lark Pearson and R. A. Fisher did much to develop the foundations of the subject in the early part of the twentieth century as the theory of mathematical statistics and its applications took shape. This book dates back to the 1930s, meeting the requirements of the time by providing tables of correlation coefficients to a considerable degree of accuracy, whilst also discussing a number of illustrative examples that employ the tables to provide a guide in drawing inference from observation.
Автор: Capinski Название: Measure, Integral and Probability ISBN: 1852337818 ISBN-13(EAN): 9781852337810 Издательство: Springer Рейтинг: Цена: 4037 р. Наличие на складе: Поставка под заказ.
Описание: Measure, Integral and Probability is a gentle introduction that makes measure and integration theory accessible to the average third-year undergraduate student. The ideas are developed at an easy pace in a form that is suitable for self-study, with an emphasis on clear explanations and concrete examples rather than abstract theory. For this second edition, the text has been thoroughly revised and expanded. New features include: В· a substantial new chapter, featuring a constructive proof of the Radon-Nikodym theorem, an analysis of the structure of Lebesgue-Stieltjes measures, the Hahn-Jordan decomposition, and a brief introduction to martingales В· key aspects of financial modelling, including the Black-Scholes formula, discussed briefly from a measure-theoretical perspective to help the reader understand the underlying mathematical framework. In addition, further exercises and examples are provided to encourage the reader to become directly involved with the material.
Автор: Elkadi Mohamed, Mourrain Bernard, Piene Ragni Название: Algebraic Geometry and Geometric Modeling ISBN: 354033274X ISBN-13(EAN): 9783540332749 Издательство: Springer Рейтинг: Цена: 20789 р. Наличие на складе: Поставка под заказ.
Описание: Algebraic Geometry provides an impressive theory targeting the understanding of geometric objects defined algebraically. Geometric Modeling uses every day, in order to solve practical and difficult problems, digital shapes based on algebraic models. In this book, we have collected articles bridging these two areas. The confrontation of the different points of view results in a better analysis of what the key challenges are and how they can be met. We focus on the following important classes of problems: implicitization, classification, and intersection. The combination of illustrative pictures, explicit computations and review articles will help the reader to handle these subjects.
Автор: JГјttler Bert, Piene Ragni Название: Geometric Modeling and Algebraic Geometry ISBN: 3540721843 ISBN-13(EAN): 9783540721840 Издательство: Springer Рейтинг: Цена: 16169 р. Наличие на складе: Поставка под заказ.
Описание: The two fields of Geometric Modeling and Algebraic Geometry, thoughclosely related, are traditionally represented by two almost disjointscientific communities. Both fields deal with objects defined byalgebraic equations, but the objects are studied in different ways.This contributed book presents, in 12 chapters written byleading experts, recent results which rely on theinteraction of both fields. Some of these results have been obtainedin the frame of the European GAIA II project (IST 2001-35512) entitled`Intersection algorithms for geometry-based IT applications usingapproximate algebraic methods'.
Описание: This volumes provides a comprehensive review of interactions between differential geometry and theoretical physics, contributed by many leading scholars in
these fields. The contributions promise to play an important role in promoting the developments in these exciting areas. Besides the plenary talks, the coverage includes: models and
related topics in statistical physics; quantum fields, strings and M-theory; Yang-Mills fields, knot theory and related topics; K-theory, including index theory and non-commutative
geometry; mirror symmetry, conformal and topological quantum field theory; development of integrable systems; and random matrix theory.
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