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Integral Geometry and Convolution Equations (Repost)

Posted By: AvaxGenius
Integral Geometry and Convolution Equations (Repost)

Integral Geometry and Convolution Equations by V. V. Volchkov
English | PDF | 2003 | 466 Pages | ISBN : 140201628X | 3.85 MB

Integral geometry deals with the problem of determining functions by their integrals over given families of sets. These integrals de?ne the corresponding integraltransformandoneofthemainquestionsinintegralgeometryaskswhen this transform is injective.

Measure Theory and Probability

Posted By: AvaxGenius
Measure Theory and Probability

Measure Theory and Probability by Malcolm Adams, Victor Guillemin
English | PDF | 1996 | 217 Pages | ISBN : 0817638849 | 12.1 MB

Measure theory and integration are presented to undergraduates from the perspective of probability theory. The first chapter shows why measure theory is needed for the formulation of problems in probability, and explains why one would have been forced to invent Lebesgue theory (had it not already existed) to contend with the paradoxes of large numbers. The measure-theoretic approach then leads to interesting applications and a range of topics that include the construction of the Lebesgue measure on R [superscript n] (metric space approach), the Borel-Cantelli lemmas, straight measure theory (the Lebesgue integral). Chapter 3 expands on abstract Fourier analysis, Fourier series and the Fourier integral, which have some beautiful probabilistic applications: Polya's theorem on random walks, Kac's proof of the Szegö theorem and the central limit theorem. In this concise text, quite a few applications to probability are packed into the exercises.

Probability

Posted By: AvaxGenius
Probability

Probability by Alan F. Karr
English | PDF | 1993 | 303 Pages | ISBN : 0387940715 | 19.9 MB

This book is a text at the introductory graduate level, for use in the one­ semester or two-quarter probability course for first-year graduate students that seems ubiquitous in departments of statistics, biostatistics, mathemat­ ical sciences, applied mathematics and mathematics. While it is accessi­ ble to advanced ("mathematically mature") undergraduates, it could also serve, with supplementation, for a course on measure-theoretic probability. Students who master this text should be able to read the "hard" books on probability with relative ease, and to proceed to further study in statistics or stochastic processes.

Fundamentals of Analysis with Applications

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Fundamentals of Analysis with Applications

Fundamentals of Analysis with Applications by Atul Kumar Razdan
English | EPUB | 2022 | 491 Pages | ISBN : 9811683824 | 41.4 MB

This book serves as a textbook in real analysis. It focuses on the fundamentals of the structural properties of metric spaces and analytical properties of functions defined between such spaces. Topics include sets, functions and cardinality, real numbers, analysis on R, topology of the real line, metric spaces, continuity and differentiability, sequences and series, Lebesgue integration, and Fourier series. It is primarily focused on the applications of analytical methods to solving partial differential equations rooted in many important problems in mathematics, physics, engineering, and related fields. Both the presentation and treatment of topics are fashioned to meet the expectations of interested readers working in any branch of science and technology.

Probability and Statistical Models: Foundations for Problems in Reliability and Financial Mathematics (Repost)

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Probability and Statistical Models: Foundations for Problems in Reliability and Financial Mathematics (Repost)

Probability and Statistical Models: Foundations for Problems in Reliability and Financial Mathematics by Arjun K. Gupta
English | PDF | 2010 | 270 Pages | ISBN : 0817649867 | 1.7 MB

With an emphasis on models and techniques, this textbook introduces many of the fundamental concepts of stochastic modeling that are now a vital component of almost every scientific investigation. These models form the basis of well-known parametric lifetime distributions such as exponential, Weibull, and gamma distributions, as well as change-point and mixture models.

The 40th International Workshop on Bayesian Inference and Maximum Entropy Methods in Science and Engineering

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The 40th International Workshop on Bayesian Inference and Maximum Entropy Methods in Science and Engineering

The 40th International Workshop on Bayesian Inference and Maximum Entropy Methods in Science and Engineering by Wolfgang von der Linden
English | PDF | 2022 | 144 Pages | ISBN : N/A | 5.7 MB

This workshop series was initiated by Myron Tribus and Edwin T. Jaynes, and organised for the first time by C.Ray Smith and Walter T. Grandy in 1981 at the University in Wyoming. Since then, tremendous progress has been made and the number of publications based on Bayesian methods is impressive

Problems in Analysis

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Problems in Analysis

Problems in Analysis by Bernard R. Gelbaum
English | PDF | 1982 | 232 Pages | ISBN : 0387906924 | 17.3 MB

These problems and solutions are offered to students of mathematics who have learned real analysis, measure theory, elementary topology and some theory of topological vector spaces. The current widely used texts in these subjects provide the background for the understanding of the problems and the finding of their solutions. In the bibliography the reader will find listed a number of books from which the necessary working vocabulary and techniques can be acquired.

Measure and Category: A Survey of the Analogies between Topological and Measure Spaces

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Measure and Category: A Survey of the Analogies between Topological and Measure Spaces

Measure and Category: A Survey of the Analogies between Topological and Measure Spaces by John C. Oxtoby
English | PDF | 1980 | 115 Pages | ISBN : 0387905081 | 11.7 MB

In this edition, a set of Supplementary Notes and Remarks has been added at the end, grouped according to chapter. Some of these call attention to subsequent developments, others add further explanation or additional remarks. Most of the remarks are accompanied by a briefly indicated proof, which is sometimes different from the one given in the reference cited.

Set-Valued Analysis

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Set-Valued Analysis

Set-Valued Analysis by Anca Croitoru
English | PDF | 2021 | 178 Pages | ISBN : N/A | 3.1 MB

Set-valued analysis is an important and somehow strange field, with unexpected applications in economics, game theory, decision making, nonlinear programming, biomathematics and statistics. This book highlights some interesting subjects in set-valued analysis, both theoretical and practical. These topics cover various areas, such as set-valued measures and integrals, applications to differential inclusions and decision making, and related topics in measure theory.

Dynamics with Chaos and Fractals (Repost)

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Dynamics with Chaos and Fractals (Repost)

Dynamics with Chaos and Fractals by Marat Akhmet
English | PDF,EPUB | 2020 | 233 Pages | ISBN : 3030358534 | 41.13 MB

The book is concerned with the concepts of chaos and fractals, which are within the scopes of dynamical systems, geometry, measure theory, topology, and numerical analysis during the last several decades. It is revealed that a special kind of Poisson stable point, which we call an unpredictable point, gives rise to the existence of chaos in the quasi-minimal set.