Measure and Integration, S. Kesavan

Автор: Yeh James
Название: Real Analysis: Theory Of Measure And Integration (3Rd Edition)
ISBN: 9814578533 ISBN-13(EAN): 9789814578530
Издательство: World Scientific Publishing
Рейтинг:
Цена: 126720.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:

This book presents a unified treatise of the theory of measure and integration. In the setting of a general measure space, every concept is defined precisely and every theorem is presented with a clear and complete proof with all the relevant details. Counter-examples are provided to show that certain conditions in the hypothesis of a theorem cannot be simply dropped. The dependence of a theorem on earlier theorems is explicitly indicated in the proof, not only to facilitate reading but also to delineate the structure of the theory. The precision and clarity of presentation make the book an ideal textbook for a graduate course in real analysis while the wealth of topics treated also make the book a valuable reference work for mathematicians.

The book is also very helpful to graduate students in statistics and electrical engineering, two disciplines that apply measure theory.

Автор: Richardson
Название: Measure and Integration - A Concise Introduction to Real Analysis
ISBN: 047025954X ISBN-13(EAN): 9780470259542
Издательство: Wiley
Рейтинг:
Цена: 106600.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: A uniquely accessible book for general measure and integration, emphasizing the real line, Euclidean space, and the underlying role of translation in real analysis Measure and Integration: A Concise Introduction to Real Analysis presents the basic concepts and methods that are important for successfully reading and understanding proofs.

Автор: Heinz K?nig
Название: Measure and Integration
ISBN: 3034807554 ISBN-13(EAN): 9783034807555
Издательство: Springer
Рейтинг:
Цена: 93160.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This collection of Heinz Koenig`s publications connects to his book of 1997 "Measure and Integration" and presents significant developments in the subject from then up to the present day. 2, 319-323, 2012), and Measure and integration: the basic extension and representation theorems in terms of new inner and outer envelopes (Indag.

Автор: Heinz K?nig
Название: Measure and Integration
ISBN: 3540618589 ISBN-13(EAN): 9783540618584
Издательство: Springer
Рейтинг:
Цена: 88500.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Aims at restructuring some fundamentals in measure and integration theory. This book centers around the ubiquitous task to produce appropriate contents and measures from more primitive data like elementary contents and elementary integrals.

Автор: Heinz K?nig
Название: Measure and Integration
ISBN: 3642082777 ISBN-13(EAN): 9783642082771
Издательство: Springer
Рейтинг:
Цена: 88500.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book aims at restructuring some fundamentals in measure and integration theory. The theory is much more powerful than the traditional means and has striking implications all over measure theory and beyond.

Автор: Ng, Wee Leng (ntu, S`pore)
Название: Nonabsolute integration on measure spaces
ISBN: 9813221968 ISBN-13(EAN): 9789813221963
Издательство: World Scientific Publishing
Рейтинг:
Цена: 84480.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:

This book offers to the reader a self-contained treatment and systematic exposition of the real-valued theory of a nonabsolute integral on measure spaces. It is an introductory textbook to Henstock-Kurzweil type integrals defined on abstract spaces. It contains both classical and original results that are accessible to a large class of readers.

It is widely acknowledged that the biggest difficulty in defining a Henstock-Kurzweil integral beyond Euclidean spaces is the definition of a set of measurable sets which will play the role of "intervals" in the abstract setting. In this book the author shows a creative and innovative way of defining "intervals" in measure spaces, and prove many interesting and important results including the well-known Radon-Nikod m theorem.

Автор: Jacob Niels, Evans Kristian P.
Название: A Course in Analysis: Vol. III: Measure and Integration Theory, Complex-Valued Functions of a Complex Variable
ISBN: 9813221631 ISBN-13(EAN): 9789813221635
Издательство: World Scientific Publishing
Цена: 73920.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: 'It is a great book for a first year (US) graduate student. One of the nice features of the book is that the book contains full solutions for all of the problems which make it useful as reference for self-study or qualifying exam prep.' (See Full Review)MAA ReviewsIn this third volume of 'A Course in Analysis', two topics indispensible for every mathematician are treated: Measure and Integration Theory; and Complex Function Theory.In the first part measurable spaces and measure spaces are introduced and Caratheodory's extension theorem is proved. This is followed by the construction of the integral with respect to a measure, in particular with respect to the Lebesgue measure in the Euclidean space. The Radon-Nikodym theorem and the transformation theorem are discussed and much care is taken to handle convergence theorems with applications, as well as Lp-spaces.Integration on product spaces and Fubini's theorem is a further topic as is the discussion of the relation between the Lebesgue integral and the Riemann integral. In addition to these standard topics we deal with the Hausdorff measure, convolutions of functions and measures including the Friedrichs mollifier, absolutely continuous functions and functions of bounded variation. The fundamental theorem of calculus is revisited, and we also look at Sard's theorem or the Riesz-Kolmogorov theorem on pre-compact sets in Lp-spaces.The text can serve as a companion to lectures, but it can also be used for self-studying. This volume includes more than 275 problems solved completely in detail which should help the student further.

Автор: Evans Kristian P
Название: Course In Analysis, A - Vol. Iii: Measure And Integration Th
ISBN: 9813221593 ISBN-13(EAN): 9789813221598
Издательство: World Scientific Publishing
Рейтинг:
Цена: 119330.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: 'It is a great book for a first year (US) graduate student. One of the nice features of the book is that the book contains full solutions for all of the problems which make it useful as reference for self-study or qualifying exam prep.' (See Full Review)MAA ReviewsIn this third volume of 'A Course in Analysis', two topics indispensible for every mathematician are treated: Measure and Integration Theory; and Complex Function Theory.In the first part measurable spaces and measure spaces are introduced and Caratheodory's extension theorem is proved. This is followed by the construction of the integral with respect to a measure, in particular with respect to the Lebesgue measure in the Euclidean space. The Radon-Nikodym theorem and the transformation theorem are discussed and much care is taken to handle convergence theorems with applications, as well as Lp-spaces.Integration on product spaces and Fubini's theorem is a further topic as is the discussion of the relation between the Lebesgue integral and the Riemann integral. In addition to these standard topics we deal with the Hausdorff measure, convolutions of functions and measures including the Friedrichs mollifier, absolutely continuous functions and functions of bounded variation. The fundamental theorem of calculus is revisited, and we also look at Sard's theorem or the Riesz-Kolmogorov theorem on pre-compact sets in Lp-spaces.The text can serve as a companion to lectures, but it can also be used for self-studying. This volume includes more than 275 problems solved completely in detail which should help the student further.

Автор: Protter Philip E.
Название: Stochastic Integration and Differential Equations / Second Edition, Version 2.1
ISBN: 3540003134 ISBN-13(EAN): 9783540003137
Издательство: Springer
Рейтинг:
Цена: 79190.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Includes the proof of the fundamental Doob-Meyer decomposition theorem. This book contains the more general version of the Girsanov theorem due to Lenglart and martingale representation, including both the Jacod-Yor theory and Emery`s examples of martingales that actually have martingale representation.