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Integral geometry and geometric probability, Luis A. Santal?



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Цена: 7706р.
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Автор: Luis A. Santal?
Название:  Integral geometry and geometric probability   (Целочисленная геометрия и геометрическая вероятность)
Издательство: Cambridge Academ
Классификация:
ISBN: 0521523443
ISBN-13(EAN): 9780521523448
Обложка/Формат: Paperback
Страницы: 428
Вес: 0.65 кг.
Дата издания: 28.10.2004
Серия: Cambridge Mathematical Library
Язык: English
Издание: 2 rev ed
Иллюстрации: 55 line figures
Размер: 230 x 152 x 26
Читательская аудитория: Professional & vocational
Ссылка на Издательство: Link
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Поставляется из: Англии
Описание: Now available in the Cambridge Mathematical Library, the classic work from Luis Santalo. Integral geometry originated with problems on geometrical probability and convex bodies. Its later developments, however, have proved to be useful in several fields ranging from pure mathematics (measure theory, continuous groups) to technical and applied disciplines (pattern recognition, stereology). The book is a systematic exposition of the theory and a compilation of the main results in the field. The volume can be used to complement courses on differential geometry, Lie groups or probability or differential geometry. It is ideal both as a reference and for those wishing to enter the field.
Дополнительное описание: Subject: Mathematics / Abstract Analysis and Probability Theory
Readership: geometry, probability
Level: academic researchers, graduate students
Format: 228 x 152 mm 424pp 55 line diagrams
Chapter Titles: Part I. Integral Geometry in the Plane: 1. Convex sets in the plane; 2. Sets of points and Poisson processes in the plane; 3. Sets of lines in the plane; 4. Pairs of points and pairs of lines; 5. Sets of strips in the plane; 6. The group of motions in the plane: kinematic density; 7. Fundamental formulas of Poincare and Blaschke; 8. Lattices of figures; Part II. General Integral Geometry: 9. Differential forms and Lie groups; 10. Density and measure in homogenous spaces; 11. The affine groups; 12. The group of motions in En; Part III. Integral Geometry in En: 13. Convex sets in En; 14. Linear subspaces, convex sets and compact manifolds; 15. The kinematic density in En; 16. Geometric and statistical applications: stereology; Part IV. Integral Geometry in Spaces of Constant Curvature: 17. Noneuclidean integral geometry; 18. Crofton’s formulas and the kinematic fundamental formula in noneuclidean spaces; 19. Integral geometry and foliated spaces: trends in integral geometry.





Theory of Probability and Random Processes

Автор: Koralov
Название: Theory of Probability and Random Processes
ISBN: 3540254846 ISBN-13(EAN): 9783540254843
Издательство: Springer
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Цена: 6269 р.
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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.

Integral, Probability, and Fractal Measures

Автор: Edgar
Название: Integral, Probability, and Fractal Measures
ISBN: 0387982051 ISBN-13(EAN): 9780387982052
Издательство: Springer
Цена: 7728 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

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.

Riemannian Geometry and Geometric Analysis

Автор: Jost
Название: Riemannian Geometry and Geometric Analysis
ISBN: 3540259074 ISBN-13(EAN): 9783540259077
Издательство: Springer
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Цена: 4697 р.
Наличие на складе: Нет в наличии.

Описание: In its updated 4th Edition, this classic reference offers some of the hottest topics of contemporary mathematical research, including a systematic introduction to KГ¤hler geometry and the presentation of additional techniques from geometric analysis.

Rigidity in Dynamics and Geometry / Contributions from the Programme  "Ergodic Theory, Geometric Rigidity and Number Theory " Isaac Newton Institute for the Mathematical Sciences Cambridge, United Kingdom 5 January - 7 July 2000

Автор: Burger Marc, Iozzi Alessandra
Название: Rigidity in Dynamics and Geometry / Contributions from the Programme "Ergodic Theory, Geometric Rigidity and Number Theory " Isaac Newton Institute for the Mathematical Sciences Cambridge, United Kingdom 5 January - 7 July 2000
ISBN: 3540432434 ISBN-13(EAN): 9783540432432
Издательство: Springer
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Цена: 14629 р.
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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.

Stochastic and integral geometry

Автор: Schneider, Rolf Weil, Wolfgang
Название: Stochastic and integral geometry
ISBN: 3540788581 ISBN-13(EAN): 9783540788584
Издательство: Springer
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Цена: 11494 р.
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Описание: Offers an introduction to the basic stationary models used in stochastic geometry - random sets, point processes, random mosaics - and to the integral geometry that is needed for their investigation. This work demonstrates the interplay between both disciplines by various fundamental results.

Elementary probability for applications

Автор: Durrett, Rick
Название: Elementary probability for applications
ISBN: 0521867568 ISBN-13(EAN): 9780521867566
Издательство: Cambridge Academ
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Цена: 6901 р.
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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.

Factorization calculus and geometric probability

Автор: Ambartzumian, R.v.
Название: Factorization calculus and geometric probability
ISBN: 0521345359 ISBN-13(EAN): 9780521345354
Издательство: Cambridge Academ
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Цена: 10929 р.
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Описание: This unique book develops the classical subjects of geometric probability and integral geometry.

Factorization Calculus and Geometric Probability

Автор: Ambartzumian
Название: Factorization Calculus and Geometric Probability
ISBN: 0521089786 ISBN-13(EAN): 9780521089784
Издательство: Cambridge Academ
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Цена: 4600 р.
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Описание: This unique book develops the classical subjects of geometric probability and integral geometry.

Combinatorics, Geometry and Probability

Автор: Edited by B?la Bollob?s
Название: Combinatorics, Geometry and Probability
ISBN: 0521607663 ISBN-13(EAN): 9780521607667
Издательство: Cambridge Academ
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Цена: 5061 р.
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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.

Tables of the Ordinates and Probability Integral of the Distribution of the Correlation Coefficient in Small Samples

Автор: David
Название: Tables of the Ordinates and Probability Integral of the Distribution of the Correlation Coefficient in Small Samples
ISBN: 0521124123 ISBN-13(EAN): 9780521124126
Издательство: Cambridge Academ
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Цена: 3220 р.
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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.

Measure, Integral and Probability

Автор: Capinski
Название: Measure, Integral and Probability
ISBN: 1852337818 ISBN-13(EAN): 9781852337810
Издательство: Springer
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Цена: 3652 р.
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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.

Algebraic Geometry and Geometric Modeling

Автор: Elkadi Mohamed, Mourrain Bernard, Piene Ragni
Название: Algebraic Geometry and Geometric Modeling
ISBN: 354033274X ISBN-13(EAN): 9783540332749
Издательство: Springer
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Цена: 18809 р.
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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.


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