Descriptive Topology and Functional Analysis, Juan Carlos Ferrando; Manuel L?pez-Pellicer
Автор: Zeidler Название: Applied Functional Analysis ISBN: 0387944222 ISBN-13(EAN): 9780387944227 Издательство: Springer Рейтинг: Цена: 12571.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This is the second part of an elementary textbook which combines linear functional analysis, nonlinear functional analysis, and their substantial applications
with each other. The book addresses undergraduate students and beginning graduate students of mathematics, physics, and engineering who want to learn how functional analysis
elegantly solves mathematical problems which relate to our real world and which play an important role in the history of mathematics. The book's approach begins with the question
"what are the most important applications" and proceeds to try to answer this question.
The applications concern integral equations, differential equations, bifurcation theory,
the moment problem, Cebysev approximation, the optimal control of rockets, game theory, symmetries and conservation laws (the Noether theorem), the quark model, and gauge theory
in elementary particle physics. The presentation is self-contained. As for prerequisites, the reader should be familiar with some basic facts of calculus.
The first part of this
textbook has been published under the title Applied Functional Analysis: Applications to Mathematical Physics.
Автор: Alt Название: Linear Functional Analysis ISBN: 1447172795 ISBN-13(EAN): 9781447172796 Издательство: Springer Рейтинг: Цена: 9362.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book gives an introduction to Linear Functional Analysis, which is a synthesis of algebra, topology, and analysis. In addition to the basic theory it explains operator theory, distributions, Sobolev spaces, and many other things. The text is self-contained and includes all proofs, as well as many exercises, most of them with solutions. Moreover, there are a number of appendices, for example on Lebesgue integration theory.
A complete introduction to the subject, Linear Functional Analysis will be particularly useful to readers who want to quickly get to the key statements and who are interested in applications to differential equations.
Автор: Jerzy K?kol; Wies?aw Kubi?; Manuel L?pez-Pellicer Название: Descriptive Topology in Selected Topics of Functional Analysis ISBN: 1461430038 ISBN-13(EAN): 9781461430032 Издательство: Springer Рейтинг: Цена: 27251.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This self-contained volume applies recent developments and classical results to study the classes of infinite-dimensional topological vector spaces in functional analysis.
Автор: Juan Carlos Ferrando; Manuel L?pez-Pellicer Название: Descriptive Topology and Functional Analysis ISBN: 3319381512 ISBN-13(EAN): 9783319381510 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Applications to spaces of continuous functions, topological Abelian groups, linear topological equivalence and to the separable quotient problem are included and are presented as open problems. Each chapter presents a lot of worthwhile and important recent theorems with an abstract discussing the material in the chapter.
Описание: This textbook is a completely revised, updated, and expanded English edition of the important Analyse fonctionnelle (1983). Uniquely, this book presents in a coherent, concise and unified way the main results from functional analysis together with the main results from the theory of partial differential equations (PDEs).
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: Douglas Farenick Название: Fundamentals of Functional Analysis ISBN: 3319456318 ISBN-13(EAN): 9783319456317 Издательство: Springer Рейтинг: Цена: 9362.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book provides a unique path for graduate or advanced undergraduate students to begin studying the rich subject of functional analysis with fewer prerequisites than is normally required. The text begins with a self-contained and highly efficient introduction to topology and measure theory, which focuses on the essential notions required for the study of functional analysis, and which are often buried within full-length overviews of the subjects. This is particularly useful for those in applied mathematics, engineering, or physics who need to have a firm grasp of functional analysis, but not necessarily some of the more abstruse aspects of topology and measure theory normally encountered. The reader is assumed to only have knowledge of basic real analysis, complex analysis, and algebra.The latter part of the text provides an outstanding treatment of Banach space theory and operator theory, covering topics not usually found together in other books on functional analysis. Written in a clear, concise manner, and equipped with a rich array of interesting and important exercises and examples, this book can be read for an independent study, used as a text for a two-semester course, or as a self-contained reference for the researcher.
Автор: Tynysbek Sh. Kalmenov; Erlan D. Nursultanov; Micha Название: Functional Analysis in Interdisciplinary Applications ISBN: 3319670522 ISBN-13(EAN): 9783319670522 Издательство: Springer Рейтинг: Цена: 20962.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This volume presents current research in functional analysis and its applications to a variety of problems in mathematics and mathematical physics.
Автор: Leonid P. Lebedev; Iosif I. Vorovich; Michael J. C Название: Functional Analysis in Mechanics ISBN: 1489997563 ISBN-13(EAN): 9781489997562 Издательство: Springer Рейтинг: Цена: 18167.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Fully supported with underlying mechanical concepts, this revised new edition includes exercises and examples throughout in its concise and accessible introduction to functional analysis, including new material on essential inequalities and imbedding results.
Автор: Tepper Gill; Woodford Zachary Название: Functional Analysis and the Feynman Operator Calculus ISBN: 3319275933 ISBN-13(EAN): 9783319275932 Издательство: Springer Рейтинг: Цена: 13275.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book provides the mathematical foundations for Feynman`s operator calculus and for the Feynman path integral formulation of quantum mechanics as a natural extension of analysis and functional analysis to the infinite-dimensional setting.
Автор: R. Beattie; Heinz-Peter Butzmann Название: Convergence Structures and Applications to Functional Analysis ISBN: 1402005660 ISBN-13(EAN): 9781402005664 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Offers an introduction into the theory and methods of convergence spaces and gives concrete applications to the problems of functional analysis. This book demonstrates the applicability of convergence structures to functional analysis. It highlights the role of continuous convergence, a convergence structure appropriate to function spaces.
Автор: Hikosaburo Komatsu Название: Functional Analysis and Related Topics, 1991 ISBN: 3540564713 ISBN-13(EAN): 9783540564713 Издательство: Springer Рейтинг: Цена: 6282.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This proceedings volume features papers on the many facets of functional analysis and its applications in the research tradition of the late Professor Kosaku Yoshida. Many of the topics are related to linear and non-linear partial differential equations.
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