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Problems and Theorems in Classical Set Theory, Peter Komjath; Vilmos Totik


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Автор: Peter Komjath; Vilmos Totik
Название:  Problems and Theorems in Classical Set Theory
ISBN: 9781441921406
Издательство: Springer
Классификация: ISBN-10: 1441921400
Обложка/Формат: Paperback
Страницы: 514
Вес: 0.73 кг.
Дата издания: 24.11.2010
Серия: Problem Books in Mathematics
Язык: English
Размер: 229 x 155 x 31
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: Although the ?rst decades of the 20th century saw some strong debates on set theory and the foundation of mathematics, afterwards set theory has turned into a solid branch of mathematics, indeed, so solid, that it serves as the foundation of the whole building of mathematics. Later generations, honest to Hilberts dictum, No one can chase us out of the paradise that Cantor has created for us proved countless deep and interesting theorems and also applied the methods of set theory to various problems in algebra, topology, in?nitary combinatorics, and real analysis. The invention of forcing produced a powerful, technically sophisticated tool for solving unsolvable problems. Still, most results of the pre-Cohen era can be digested with just the knowledge of a commonsense introduction to the topic. And it is a worthy e?ort, here we refer not just to usefulness, but, ?rst and foremost, to mathematical beauty. In this volume we o?er a collection of various problems in set theory. Most of classical set theory is covered, classical in the sense that independence methods are not used, but classical also in the sense that most results come fromtheperiod, say,1920-1970.Manyproblemsarealsorelatedtoother?elds of mathematics such as algebra, combinatorics, topology, and real analysis. We do not concentrate on the axiomatic framework, although some - pects, such as the axiom of foundation or the role DEGREES of the axiom of choice, are elaborated.


Limit Theorems for Stochastic Processes

Автор: Jacod Jean, Shiryaev Albert N.
Название: Limit Theorems for Stochastic Processes
ISBN: 3540439323 ISBN-13(EAN): 9783540439325
Издательство: Springer
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Цена: 18167.00 р.
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Описание: Initially the theory of convergence in law of stochastic processes was developed quite independently from the theory of martingales, semimartingales and stochastic integrals. Apart from a few exceptions essentially concerning diffusion processes, it is only recently that the relation between the two theories has been thoroughly studied. The authors of this Grundlehren volume, two of the international leaders in the field, propose a systematic exposition of convergence in law for stochastic processes, from the point of view of semimartingale theory, with emphasis on results that are useful for mathematical theory and mathematical statistics. This leads them to develop in detail some particularly useful parts of the general theory of stochastic processes, such as martingale problems, and absolute continuity or contiguity results. The book contains an introduction to the theory of martingales and semimartingales, random measures stochastic integrales, Skorokhod topology, etc., as well as a large number of results which have never appeared in book form, and some entirely new results. The second edition contains some additions to the text and references. Some parts are completely rewritten.

Lectures on Pseudo-Differential Operators: Regularity Theorems and Applications to Non-Elliptic Problems. (MN-24)

Автор: Nagel Alexander, Stein Elias M.
Название: Lectures on Pseudo-Differential Operators: Regularity Theorems and Applications to Non-Elliptic Problems. (MN-24)
ISBN: 0691601097 ISBN-13(EAN): 9780691601090
Издательство: Wiley
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Цена: 4752.00 р.
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Описание: The theory of pseudo-differential operators (which originated as singular integral operators) was largely influenced by its application to function theory in one complex variable and regularity properties of solutions of elliptic partial differential equations. Given here is an exposition of some new classes of pseudo-differential operators relevan

Limit Theorems of Probability Theory

Автор: V. Bentkus; Yu.V. Prokhorov; B. Seckler; V. Statul
Название: Limit Theorems of Probability Theory
ISBN: 3642081703 ISBN-13(EAN): 9783642081705
Издательство: Springer
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Цена: 20956.00 р.
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Описание: This book consists of five parts written by different authors devoted to various problems dealing with probability limit theorems. The first part, "Classical-Type Limit Theorems for Sums ofIndependent Random Variables" (V.v. Petrov), presents a number of classical limit theorems for sums of independent random variables as well as newer related results. The presentation dwells on three basic topics: the central limit theorem, laws of large numbers and the law of the iterated logarithm for sequences of real-valued random variables. The second part, "The Accuracy of Gaussian Approximation in Banach Spaces" (V. Bentkus, F. G6tze, V. Paulauskas and A. Rackauskas), reviews various results and methods used to estimate the convergence rate in the central limit theorem and to construct asymptotic expansions in infinite-dimensional spaces. The authors con- fine themselves to independent and identically distributed random variables. They do not strive to be exhaustive or to obtain the most general results; their aim is merely to point out the differences from the finite-dimensional case and to explain certain new phenomena related to the more complex structure of Banach spaces. Also reflected here is the growing tendency in recent years to apply results obtained for Banach spaces to asymptotic problems of statistics.

Uniform Central Limit Theorems

Автор: Dudley
Название: Uniform Central Limit Theorems
ISBN: 0521738415 ISBN-13(EAN): 9780521738415
Издательство: Cambridge Academ
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Описание: This second edition of a classic work has been considerably expanded and revised, now with complete proofs of all results, including several new theorems not included in the first edition, such as Talagrand`s generic chaining approach to boundedness of Gaussian processes and Gine and Zinn`s characterization of uniform Donsker classes.

Problems and Theorems in Analysis

Автор: Georg Polya; Dorothee Aeppli; Gabor Szeg?
Название: Problems and Theorems in Analysis
ISBN: 0387902244 ISBN-13(EAN): 9780387902241
Издательство: Springer
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Цена: 11179.00 р.
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Описание: The present English edition is not a mere translation of the German original. To include all such developments would have changed the character of the work, and even an incomplete account, which would be unsatisfactory in itself, would have cost too much labor and taken up too much space.

Problems and Theorems in Analysis

Автор: C.E. Billigheimer; Georg Polya; Gabor Szeg?
Название: Problems and Theorems in Analysis
ISBN: 0387902910 ISBN-13(EAN): 9780387902913
Издательство: Springer
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Цена: 11179.00 р.
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Theorems and Problems in Functional Analysis

Автор: A. A. Kirillov; H. H. McFaden; A. D. Gvishiani
Название: Theorems and Problems in Functional Analysis
ISBN: 038790638X ISBN-13(EAN): 9780387906386
Издательство: Springer
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Цена: 8378.00 р.
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Описание: Functional analysis takes up topological linear spaces, topological groups, normed rings, modules of representations of topological groups in topological linear spaces, and so on.

Operator Theorems with Applications to Distributive Problems and Equilibrium Models

Автор: Antonio Villar
Название: Operator Theorems with Applications to Distributive Problems and Equilibrium Models
ISBN: 3540550879 ISBN-13(EAN): 9783540550877
Издательство: Springer
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Цена: 15372.00 р.
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Описание: This monograph deals with the analysis of some formal problems involving operators in Euclidean spaces and their applications to economic modelling. It contains a set of results on the solvability of complementarity problems and variational inequalities.

Theorems and Problems in Functional Analysis

Автор: A. A. Kirillov; H. H. McFaden; A. D. Gvishiani
Название: Theorems and Problems in Functional Analysis
ISBN: 146138155X ISBN-13(EAN): 9781461381556
Издательство: Springer
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Цена: 8378.00 р.
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Multiparameter Eigenvalue Problems and Expansion Theorems

Автор: Hans Volkmer
Название: Multiparameter Eigenvalue Problems and Expansion Theorems
ISBN: 3540504796 ISBN-13(EAN): 9783540504795
Издательство: Springer
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Цена: 3492.00 р.
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Описание: Offers a self-contained treatment of two of the main problems of multiparameter spectral theory: the existence of eigenvalues and the expansion in series of eigenfunctions. This book focuses on various definiteness conditions which can be imposed on multiparameter eigenvalue problems.

Limit Theorems in Probability, Statistics and Number Theory

Автор: Peter Eichelsbacher; Guido Elsner; Holger K?sters;
Название: Limit Theorems in Probability, Statistics and Number Theory
ISBN: 3642433960 ISBN-13(EAN): 9783642433962
Издательство: Springer
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Цена: 16769.00 р.
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Описание:

​Limit theorems and asymptotic results form a central topic in probability theory and mathematical statistics. New and non-classical limit theorems have been discovered for processes in random environments, especially in connection with random matrix theory and free probability. These questions and the techniques for answering them combine asymptotic enumerative combinatorics, particle systems and approximation theory, and are important for new approaches in geometric and metric number theory as well. Thus, the contributions in this book include a wide range of applications with surprising connections ranging from longest common subsequences for words, permutation groups, random matrices and free probability to entropy problems and metric number theory.

The book is the product of a conference that took place in August 2011 in Bielefeld, Germany to celebrate the 60th birthday of Friedrich G tze, a noted expert in this field.

Positive Definite Kernels, Continuous Tensor Products, and Central Limit Theorems of Probability Theory

Автор: K. R. Parthasarathy; K. Schmidt
Название: Positive Definite Kernels, Continuous Tensor Products, and Central Limit Theorems of Probability Theory
ISBN: 3540059083 ISBN-13(EAN): 9783540059080
Издательство: Springer
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Цена: 3487.00 р.
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