First course in functional analysis, Shalit, Orr Moshe
Автор: Kadets Vladimir Название: A Course in Functional Analysis and Measure Theory ISBN: 3319920030 ISBN-13(EAN): 9783319920030 Издательство: Springer Рейтинг: Цена: 60550.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Introduction.- Chapter 1. Metric and topological spaces.- Chapter 2. Measure theory.- Chapter 3. Measurable functions.- Chapter 4. The Lebesgue integral.- Chapter 5. Linear spaces, linear functionals, and the Hahn-Banach theorem.- Chapter 6. Normed spaces.- Chapter 7. Absolute continuity of measures and functions. Connection between derivative and integral.- Chapter 8. The integral on C(K).- Chapter 9. Continuous linear functionals.- Chapter 10. Classical theorems on continuous operators.- Chapter 11. Elements of spectral theory of operators. Compact operators.- Chapter 12. Hilbert spaces.- Chapter 13. Functions of an operator.- Chapter 14. Operators in Lp.- Chapter 15. Fixed-point theorems and applications.- Chapter 16. Topological vector spaces.- Chapter 17. Elements of duality theory.- Chapter 18. The Krein-Milman theorem and applications.- References. Index.
Автор: Adam Bobrowski Название: Functional Analysis for Probability and Stochastic Processes: An Introduction ISBN: 0521831660 ISBN-13(EAN): 9780521831666 Издательство: Cambridge Academ Рейтинг: Цена: 155230.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This text is designed both for students of probability and stochastic processes, and for students of functional analysis. Numerous standard and non-standard examples and exercises make it suitable for both a textbook for a course as well as for self-study.
Автор: Hsing Tailen Название: Theoretical Foundations of Functional Data Analysis, with an ISBN: 0470016914 ISBN-13(EAN): 9780470016916 Издательство: Wiley Рейтинг: Цена: 69640.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: ?? Provides a concise but rigorous account of the theoretical background of FDA. ?? Introduces topics in various areas of mathematics, probability and statistics from the perspective of FDA. ?? Presents a systematic exposition of the fundamental statistical issues in FDA.
Автор: Caspar Goffman, George Pedrick Название: A First Course in Functional Analysis ISBN: 1470429691 ISBN-13(EAN): 9781470429690 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 49890.00 T Наличие на складе: Невозможна поставка. Описание: This second edition includes exercises at the end of each chapter, revised bibliographies, references and an index.
Автор: S Kumaresan Ajit Kumar & Название: Basic Course in Real Analysis ISBN: 148221637X ISBN-13(EAN): 9781482216370 Издательство: Taylor&Francis Рейтинг: Цена: 102080.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
Based on the authors' combined 35 years of experience in teaching, A Basic Course in Real Analysis introduces students to the aspects of real analysis in a friendly way. The authors offer insights into the way a typical mathematician works observing patterns, conducting experiments by means of looking at or creating examples, trying to understand the underlying principles, and coming up with guesses or conjectures and then proving them rigorously based on his or her explorations.
With more than 100 pictures, the book creates interest in real analysis by encouraging students to think geometrically. Each difficult proof is prefaced by a strategy and explanation of how the strategy is translated into rigorous and precise proofs. The authors then explain the mystery and role of inequalities in analysis to train students to arrive at estimates that will be useful for proofs. They highlight the role of the least upper bound property of real numbers, which underlies all crucial results in real analysis. In addition, the book demonstrates analysis as a qualitative as well as quantitative study of functions, exposing students to arguments that fall under hard analysis.
Although there are many books available on this subject, students often find it difficult to learn the essence of analysis on their own or after going through a course on real analysis. Written in a conversational tone, this book explains the hows and whys of real analysis and provides guidance that makes readers think at every stage.
Автор: Folland, Gerald B. Название: Course in abstract harmonic analysis ISBN: 1498727131 ISBN-13(EAN): 9781498727136 Издательство: Taylor&Francis Рейтинг: Цена: 93910.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
A Course in Abstract Harmonic Analysis is an introduction to that part of analysis on locally compact groups that can be done with minimal assumptions on the nature of the group. As a generalization of classical Fourier analysis, this abstract theory creates a foundation for a great deal of modern analysis, and it contains a number of elegant results and techniques that are of interest in their own right.
This book develops the abstract theory along with a well-chosen selection of concrete examples that exemplify the results and show the breadth of their applicability. After a preliminary chapter containing the necessary background material on Banach algebras and spectral theory, the text sets out the general theory of locally compact groups and their unitary representations, followed by a development of the more specific theory of analysis on Abelian groups and compact groups. There is an extensive chapter on the theory of induced representations and its applications, and the book concludes with a more informal exposition on the theory of representations of non-Abelian, non-compact groups.
Featuring extensive updates and new examples, the Second Edition:
Adds a short section on von Neumann algebras
Includes Mark Kac's simple proof of a restricted form of Wiener's theorem
Explains the relation between SU(2) and SO(3) in terms of quaternions, an elegant method that brings SO(4) into the picture with little effort
Discusses representations of the discrete Heisenberg group and its central quotients, illustrating the Mackey machine for regular semi-direct products and the pathological phenomena for nonregular ones
A Course in Abstract Harmonic Analysis, Second Edition serves as an entr e to advanced mathematics, presenting the essentials of harmonic analysis on locally compact groups in a concise and accessible form.
Автор: Ronny Ramlau, Otmar Scherzer Название: The Radon Transform: The First 100 Years and Beyond ISBN: 3110559412 ISBN-13(EAN): 9783110559415 Издательство: Walter de Gruyter Цена: 149940.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The series is devoted to the publication of high-level monographs, surveys and proceedings which cover the whole spectrum of computational and applied mathematics. The books of this series are addressed to both specialists and advanced students. Interested authors may submit book proposals to the Managing Editor or to any member of the Editorial Board. Managing Editor Ulrich Langer , Johannes Kepler University Linz, Austria Editorial Board Hansjorg Albrecher , University of Lausanne, Switzerland Ronald H. W. Hoppe , University of Houston, USA Karl Kunisch , RICAM, Linz, Austria; University of Graz, Austria Harald Niederreiter , RICAM, Linz, Austria Christian Schmeiser , University of Vienna, Austria
Автор: Kostic Marko Название: Abstract Volterra Integro-Differential Equations ISBN: 1482254301 ISBN-13(EAN): 9781482254303 Издательство: Taylor&Francis Рейтинг: Цена: 183750.00 T Наличие на складе: Невозможна поставка. Описание:
The theory of linear Volterra integro-differential equations has been developing rapidly in the last three decades. This book provides an easy to read concise introduction to the theory of ill-posed abstract Volterra integro-differential equations. A major part of the research is devoted to the study of various types of abstract (multi-term) fractional differential equations with Caputo fractional derivatives, primarily from their invaluable importance in modeling of various phenomena appearing in physics, chemistry, engineering, biology and many other sciences. The book also contributes to the theories of abstract first and second order differential equations, as well as to the theories of higher order abstract differential equations and incomplete abstract Cauchy problems, which can be viewed as parts of the theory of abstract Volterra integro-differential equations only in its broad sense. The operators examined in our analyses need not be densely defined and may have empty resolvent set.
Divided into three chapters, the book is a logical continuation of some previously published monographs in the field of ill-posed abstract Cauchy problems. It is not written as a traditional text, but rather as a guidebook suitable as an introduction for advanced graduate students in mathematics or engineering science, researchers in abstract partial differential equations and experts from other areas. Most of the subject matter is intended to be accessible to readers whose backgrounds include functions of one complex variable, integration theory and the basic theory of locally convex spaces. An important feature of this book as compared to other monographs and papers on abstract Volterra integro-differential equations is, undoubtedly, the consideration of solutions, and their hypercyclic properties, in locally convex spaces. Each chapter is further divided in sections and subsections and, with the exception of the introductory one, contains a plenty of examples and open problems. The numbering of theorems, propositions, lemmas, corollaries, and definitions are by chapter and section. The bibliography is provided alphabetically by author name and a reference to an item is of the form,
The book does not claim to be exhaustive. Degenerate Volterra equations, the solvability and asymptotic behaviour of Volterra equations on the line, almost periodic and positive solutions of Volterra equations, semilinear and quasilinear problems, as some of many topics are not covered in the book. The author's justification for this is that it is not feasible to encompass all aspects of the theory of abstract Volterra equations in a single monograph.
Автор: Wazwaz Abdul-Majid Название: First Course In Integral Equations, A (Second Edition) ISBN: 9814675121 ISBN-13(EAN): 9789814675123 Издательство: World Scientific Publishing Рейтинг: Цена: 42240.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This second edition integrates the newly developed methods with classical techniques to give both modern and powerful approaches for solving integral equations.
Автор: Brannan Название: A First Course in Mathematical Analysis ISBN: 0521684242 ISBN-13(EAN): 9780521684248 Издательство: Cambridge Academ Рейтинг: Цена: 50690.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: A down-to-earth advanced Calculus text. It has a large number of diagrams and helpful margin notes; and uses many graded examples and exercises, often with complete solutions, to guide students through the tricky points. Suitable for self-study or use in parallel with a standard university course on the subject.
Автор: Jacob Niels & Evans Kristian P Название: Course In Analysis, A - Volume I: Introductory Calculus, Analysis Of Functions Of One Real Variable ISBN: 9814689084 ISBN-13(EAN): 9789814689083 Издательство: World Scientific Publishing Рейтинг: Цена: 118270.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Volume 1 covers the content of two typical modules in undergraduate course for mathematics: Part 1: Introductory calculus Part 2: Analysis of functions of one variable
Автор: Jacob Niels & Evans Kristian P Название: Course In Analysis, A - Volume I: Introductory Calculus, Analysis Of Functions Of One Real Variable ISBN: 9814689092 ISBN-13(EAN): 9789814689090 Издательство: World Scientific Publishing Рейтинг: Цена: 57030.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Volume 1 covers the content of two typical modules in undergraduate course for mathematics: Part 1: Introductory calculus Part 2: Analysis of functions of one variable
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