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Author: L. Kuipers
Publisher: Courier Corporation
ISBN: 0486149994
Category : Mathematics
Languages : en
Pages : 416
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Book Description
The theory of uniform distribution began with Hermann Weyl's celebrated paper of 1916. In later decades, the theory moved beyond its roots in diophantine approximations to provide common ground for topics as diverse as number theory, probability theory, functional analysis, and topological algebra. This book summarizes the theory's development from its beginnings to the mid-1970s, with comprehensive coverage of both methods and their underlying principles. A practical introduction for students of number theory and analysis as well as a reference for researchers in the field, this book covers uniform distribution in compact spaces and in topological groups, in addition to examinations of sequences of integers and polynomials. Notes at the end of each section contain pertinent bibliographical references and a brief survey of additional results. Exercises range from simple applications of theorems to proofs of propositions that expand upon results stated in the text.
Author: L. Kuipers
Publisher: Courier Corporation
ISBN: 0486149994
Category : Mathematics
Languages : en
Pages : 416
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Book Description
The theory of uniform distribution began with Hermann Weyl's celebrated paper of 1916. In later decades, the theory moved beyond its roots in diophantine approximations to provide common ground for topics as diverse as number theory, probability theory, functional analysis, and topological algebra. This book summarizes the theory's development from its beginnings to the mid-1970s, with comprehensive coverage of both methods and their underlying principles. A practical introduction for students of number theory and analysis as well as a reference for researchers in the field, this book covers uniform distribution in compact spaces and in topological groups, in addition to examinations of sequences of integers and polynomials. Notes at the end of each section contain pertinent bibliographical references and a brief survey of additional results. Exercises range from simple applications of theorems to proofs of propositions that expand upon results stated in the text.
Author: Michael Drmota
Publisher: Springer
ISBN: 354068333X
Category : Mathematics
Languages : en
Pages : 517
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Book Description
The main purpose of this book is to give an overview of the developments during the last 20 years in the theory of uniformly distributed sequences. The authors focus on various aspects such as special sequences, metric theory, geometric concepts of discrepancy, irregularities of distribution, continuous uniform distribution and uniform distribution in discrete spaces. Specific applications are presented in detail: numerical integration, spherical designs, random number generation and mathematical finance. Furthermore over 1000 references are collected and discussed. While written in the style of a research monograph, the book is readable with basic knowledge in analysis, number theory and measure theory.
Author: American Mathematical Society
Publisher:
ISBN:
Category : Electronic journals
Languages : en
Pages : 404
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Book Description
Contains the material formerly published in even-numbered issues of the Bulletin of the American Mathematical Society.
Author: H. Heyer
Publisher: Springer Science & Business Media
ISBN: 3642667066
Category : Mathematics
Languages : en
Pages : 542
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Book Description
Probability measures on algebraic-topological structures such as topological semi groups, groups, and vector spaces have become of increasing importance in recent years for probabilists interested in the structural aspects of the theory as well as for analysts aiming at applications within the scope of probability theory. In order to obtain a natural framework for a first systematic presentation of the most developed part of the work done in the field we restrict ourselves to prob ability measures on locally compact groups. At the same time we stress the non Abelian aspect. Thus the book is concerned with a set of problems which can be regarded either from the probabilistic or from the harmonic-analytic point of view. In fact, it seems to be the synthesis of these two viewpoints, the initial inspiration coming from probability and the refined techniques from harmonic analysis which made this newly established subject so fascinating. The goal of the presentation is to give a fairly complete treatment of the central limit problem for probability measures on a locally compact group. In analogy to the classical theory the discussion is centered around the infinitely divisible probability measures on the group and their relationship to the convergence of infinitesimal triangular systems.
Author: Alladi Ramakrishnan
Publisher: Springer Science & Business Media
ISBN: 1468476734
Category : Science
Languages : en
Pages : 280
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Book Description
This volume represents the proceedings of the Sixth Anniversary MATSCIENCE Symposium on Theoretical Physics held in January 1968 as well as the Seminar in Analysis held earlier, in December 1967. A new feature of this volume is that it includes also contributions dealing with applications of mathematics to domains other than theoretical physics. Accordingly, the volume is divided into three parts-Part I deals with theoretical physics, Part II with applications of mathematical methods, and Part III with pure mathematics. The volume begins with a contribution from Okubo who proposed a new scheme to explain the CP puzzle by invoking the intermediate vector bosons. Gordon Shaw from Irvine dealt with the crucial importance of the effects of CDD poles in partial wave dispersion relations in dynamical calculation of resonances. Applications of current algebra and quark models were considered in the papers of Divakaran, Ramachandran, and Rajasekharan. Dubin presented a rigorous formulation of the Heisenberg ferromagnet.
Author:
Publisher:
ISBN:
Category : Electronic journals
Languages : en
Pages : 426
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Book Description
Author:
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 232
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Book Description
Author: Herbert Heyer
Publisher: Springer
ISBN: 3540448527
Category : Mathematics
Languages : en
Pages : 397
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Book Description
Author: F. Liese
Publisher: Springer Science & Business Media
ISBN: 0387731946
Category : Mathematics
Languages : en
Pages : 696
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Book Description
For advanced graduate students, this book is a one-stop shop that presents the main ideas of decision theory in an organized, balanced, and mathematically rigorous manner, while observing statistical relevance. All of the major topics are introduced at an elementary level, then developed incrementally to higher levels. The book is self-contained as it provides full proofs, worked-out examples, and problems. The authors present a rigorous account of the concepts and a broad treatment of the major results of classical finite sample size decision theory and modern asymptotic decision theory. With its broad coverage of decision theory, this book fills the gap between standard graduate texts in mathematical statistics and advanced monographs on modern asymptotic theory.
Author: Koninklijke Nederlandse Akademie van Wetenschappen
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 464
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Book Description
