A First Course in Functional Analysis, Promislow

Автор: Zeidler
Название: Applied Functional Analysis
ISBN: 0387944222 ISBN-13(EAN): 9780387944227
Издательство: Springer
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Цена: 12571.00 р.
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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: Brezis, H.
Название: Functional analysis, Sobolev spaces and partial differential equations
ISBN: 0387709134 ISBN-13(EAN): 9780387709130
Издательство: Springer
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Цена: 9077.00 р.
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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: Adam Bobrowski
Название: Functional Analysis for Probability and Stochastic Processes: An Introduction
ISBN: 0521831660 ISBN-13(EAN): 9780521831666
Издательство: Cambridge Academ
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Цена: 23285.00 р.
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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: Rynne
Название: Linear Functional Analysis
ISBN: 1848000049 ISBN-13(EAN): 9781848000049
Издательство: Springer
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Цена: 4884.00 р.
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Описание: This introduction to the ideas and methods of linear functional analysis shows how familiar and useful concepts from finite-dimensional linear algebra can be extended or generalized to infinite-dimensional spaces.