A First Course in Functional Analysis, Caspar Goffman, George Pedrick
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: Saxe Karen Название: Beginning Functional Analysis ISBN: 0387952241 ISBN-13(EAN): 9780387952246 Издательство: Springer Рейтинг: Цена: 55890.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The unifying approach of functional analysis is to view functions as points in abstract vector space and the differential and integral operators as linear transformations on these spaces.
Автор: Lebedev V.I. Название: Functional Analysis in Computational Mathematics / An Introduction ISBN: 0817638881 ISBN-13(EAN): 9780817638887 Издательство: Springer Рейтинг: Цена: 72670.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Presents the basics of functional analysis, as well as elements of variational equations (on the basis of bi-linear forms), including the Vishik-Lax-Milgram theorem and of generalized solutions of eliptic problems. Sobolev spaces and embedding theorems are introduced.
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: Promislow Название: A First Course in Functional Analysis ISBN: 0470146192 ISBN-13(EAN): 9780470146194 Издательство: Wiley Рейтинг: Цена: 139340.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This straight-forward, concise book is made up of carefully selected topics and is written in an accessible that requires minimal background knowledge. It provides the reader with a sense of unity in the subject`s development and fully explains the essential concepts, outlining the logic behind the steps to familiarize the reader with the theories.
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: 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
Автор: John B Conway Название: A Course in Functional Analysis ISBN: 1441930922 ISBN-13(EAN): 9781441930927 Издательство: Springer Рейтинг: Цена: 58650.00 T Наличие на складе: Поставка под заказ. Описание: From the reviews: "This book is an excellent text for a first graduate course in functional analysis....Many interesting and important applications are included....It includes an abundance of exercises, and is written in the engaging and lucid style which we have come to expect from the author."
Автор: Iserles, A. Название: First course in the numerical analysis of differential equations ISBN: 0521734908 ISBN-13(EAN): 9780521734905 Издательство: Cambridge Academ Рейтинг: Цена: 54910.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This extensively updated second edition includes new chapters on emerging subject areas: geometric numerical integration, spectral methods and conjugate gradients. Other topics covered include multistep and Runge-Kutta methods, finite difference and finite elements techniques for the Poisson equation, and a variety of algorithms to solve large, sparse algebraic systems.
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: 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.
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