Measure Theory

Measure Theory and Fine Properties of Functions, Revised Edition  eBooks & eLearning

Posted by DZ123 at Nov. 19, 2020
Measure Theory and Fine Properties of Functions, Revised Edition

Lawrence Craig Evans, Ronald F. Gariepy, "Measure Theory and Fine Properties of Functions, Revised Edition"
English | 2015 | ISBN: 1482242389 | PDF | pages: 313 | 1.8 mb

Measure Theory and Probability  eBooks & eLearning

Posted by AvaxGenius at Oct. 21, 2022
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.

Handbook of Measure Theory: In two volumes  eBooks & eLearning

Posted by arundhati at Nov. 29, 2020
Handbook of Measure Theory: In two volumes

E. Pap, "Handbook of Measure Theory: In two volumes"
English | ISBN: 0444502637 | 2002 | 1632 pages | DJVU | 11 MB

Measure Theory  eBooks & eLearning

Posted by AvaxGenius at Dec. 24, 2022
Measure Theory

Measure Theory by Donald L. Cohn
English | PDF | 1980 | 379 Pages | ISBN : 0817630031 | 28.3 MB

Intended as a self-contained introduction to measure theory, this textbook also includes a comprehensive treatment of integration on locally compact Hausdorff spaces, the analytic and Borel subsets of Polish spaces, and Haar measures on locally compact groups.

Measure Theory in Non-Smooth Spaces  eBooks & eLearning

Posted by AvaxGenius at June 10, 2021
Measure Theory in Non-Smooth Spaces

Measure Theory in Non-Smooth Spaces by Nicola Gigli
English | PDF | 2017 | 346 Pages | ISBN : 3110550822 | 4.1 MB

Analysis in singular spaces is becoming an increasingly important area of research, with motivation coming from the calculus of variations, PDEs, geometric analysis, metric geometry and probability theory, just to mention a few areas. In all these fields, the role of measure theory is crucial and an appropriate understanding of the interaction between the relevant measure-theoretic framework and the objects under investigation is important to a successful research.

Introduction to Measure Theory and Functional Analysis  eBooks & eLearning

Posted by AvaxGenius at Dec. 6, 2021
Introduction to Measure Theory and Functional Analysis

Introduction to Measure Theory and Functional Analysis by Piermarco Cannarsa
English | EPUB | 2015 | 314 Pages | ISBN : 331917018X | 6.8 MB

This book introduces readers to theories that play a crucial role in modern mathematics, such as integration and functional analysis, employing a unifying approach that views these two subjects as being deeply intertwined. This feature is particularly evident in the broad range of problems examined, the solutions of which are often supported by generous hints. If the material is split into two courses, it can be supplemented by additional topics from the third part of the book, such as functions of bounded variation, absolutely continuous functions, and signed measures.

Introduction to Measure Theory and Functional Analysis (Repost)  eBooks & eLearning

Posted by AvaxGenius at March 3, 2020
Introduction to Measure Theory and Functional Analysis (Repost)

Introduction to Measure Theory and Functional Analysis by Piermarco Cannarsa
English | PDF | 2015 | 314 Pages | ISBN : 331917018X | 2.99 MB

This book introduces readers to theories that play a crucial role in modern mathematics, such as integration and functional analysis, employing a unifying approach that views these two subjects as being deeply intertwined. This feature is particularly evident in the broad range of problems examined, the solutions of which are often supported by generous hints. If the material is split into two courses, it can be supplemented by additional topics from the third part of the book, such as functions of bounded variation, absolutely continuous functions, and signed measures.

Mathematics of Fuzzy Sets: Logic, Topology, and Measure Theory  eBooks & eLearning

Posted by roxul at Dec. 13, 2021
Mathematics of Fuzzy Sets: Logic, Topology, and Measure Theory

Ulrich Höhle, "Mathematics of Fuzzy Sets: Logic, Topology, and Measure Theory "
English | ISBN: 1461373107 | 2012 | 728 pages | PDF | 22 MB

Measure Theory: Second Edition  eBooks & eLearning

Posted by AvaxGenius at Aug. 17, 2020
Measure Theory: Second Edition

Measure Theory: Second Edition by Donald L. Cohn
English | PDF(Repost),EPUB | 2013 | 466 Pages | ISBN : 1461469554 | 11.3 MB

Intended as a self-contained introduction to measure theory, this textbook also includes a comprehensive treatment of integration on locally compact Hausdorff spaces, the analytic and Borel subsets of Polish spaces, and Haar measures on locally compact groups. This second edition includes a chapter on measure-theoretic probability theory, plus brief treatments of the Banach-Tarski paradox, the Henstock-Kurzweil integral, the Daniell integral, and the existence of liftings.

Fundamentals of Functions and Measure Theory  eBooks & eLearning

Posted by arundhati at June 2, 2023
Fundamentals of Functions and Measure Theory

Valeriy K. Mikhalev, Alexander V. / Rodionov, Timofey V. / Zakharov, "Fundamentals of Functions and Measure Theory "
English | ISBN: 3110550091 | 2018 | 400 pages | EPUB | 6 MB