Elementary introduction to the lebesgue integral, Krantz, Steven G. (washington University, St. Louis, Missouri, Usa)
Автор: Komornik Название: Lectures on Functional Analysis and the Lebesgue Integral ISBN: 1447168100 ISBN-13(EAN): 9781447168102 Издательство: Springer Рейтинг: Цена: 9362.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This textbook, based on three series of lectures held by the author at the University of Strasbourg, presents functional analysis in a non-traditional way by generalizing elementary theorems of plane geometry to spaces of arbitrary dimension. This approach leads naturally to the basic notions and theorems. Most results are illustrated by the small ?p spaces. The Lebesgue integral, meanwhile, is treated via the direct approach of Frigyes Riesz, whose constructive definition of measurable functions leads to optimal, clear-cut versions of the classical theorems of Fubini-Tonelli and Radon-Nikod?m.Lectures on Functional Analysis and the Lebesgue Integral presents the most important topics for students, with short, elegant proofs. The exposition style follows the Hungarian mathematical tradition of Paul Erd?s and others. The order of the first two parts, functional analysis and the Lebesgue integral, may be reversed. In the third and final part they are combined to study various spaces of continuous and integrable functions. Several beautiful, but almost forgotten, classical theorems are also included.Both undergraduate and graduate students in pure and applied mathematics, physics and engineering will find this textbook useful. Only basic topological notions and results are used and various simple but pertinent examples and exercises illustrate the usefulness and optimality of most theorems. Many of these examples are new or difficult to localize in the literature, and the original sources of most notions and results are indicated to help the reader understand the genesis and development of the field.
Автор: Dunham William Название: The Calculus Gallery: Masterpieces from Newton to Lebesgue ISBN: 069118285X ISBN-13(EAN): 9780691182858 Издательство: Wiley Рейтинг: Цена: 2691.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: More than three centuries after its creation, calculus remains a dazzling intellectual achievement and the gateway to higher mathematics. This book charts its growth and development by sampling from the work of some of its foremost practitioners, beginning with Isaac Newton and Gottfried Wilhelm Leibniz in the late seventeenth century and continuing to Henri Lebesgue at the dawn of the twentieth. Now with a new preface by the author, this book documents the evolution of calculus from a powerful but logically chaotic subject into one whose foundations are thorough, rigorous, and unflinching--a story of genius triumphing over some of the toughest, subtlest problems imaginable. In touring The Calculus Gallery, we can see how it all came to be.
Описание: Using classical problems to motivate a historical development of the integration theories of Riemann, Lebesgue, Henstock - Kurzweil and McShane, this book shows how new theories of integration were developed to solve problems that earlier integration theories could not handle.
Автор: Castillo Название: An Introductory Course in Lebesgue Spaces ISBN: 3319300326 ISBN-13(EAN): 9783319300320 Издательство: Springer Рейтинг: Цена: 9362.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book is devoted exclusively to Lebesgue spaces and their direct derived spaces. Unique in its sole dedication, this book explores Lebesgue spaces, distribution functions and nonincreasing rearrangement. Moreover, it also deals with weak, Lorentz and the more recent variable exponent and grand Lebesgue spaces with considerable detail to the proofs. The book also touches on basic harmonic analysis in the aforementioned spaces. An appendix is given at the end of the book giving it a self-contained character. This work is ideal for teachers, graduate students and researchers.
Автор: Cruz-Uribe David V Название: Variable Lebesgue Spaces and Hyperbolic Systems ISBN: 3034808399 ISBN-13(EAN): 9783034808392 Издательство: Springer Рейтинг: Цена: 3492.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book features a concise introduction to variable Lebesgue spaces. It includes an easy-to-read introduction to the classical problems as well as to recent developments in the asymptotic theory for hyperbolic equations.
ООО "Логосфера " Тел:+7(495) 980-12-10 www.logobook.ru
