Descriptive Topology in Selected Topics of Functional Analysis, Jerzy K?kol; Wies?aw Kubi?; Manuel L?pez-Pellicer

Автор: Zeidler
Название: Applied Functional Analysis
ISBN: 0387944222 ISBN-13(EAN): 9780387944227
Издательство: Springer
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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: Saxe Karen
Название: Beginning Functional Analysis
ISBN: 0387952241 ISBN-13(EAN): 9780387952246
Издательство: Springer
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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: Peter D. Lax
Название: Functional Analysis
ISBN: 0471556041 ISBN-13(EAN): 9780471556046
Издательство: Wiley
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Цена: 17258.00 р.
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Описание: Includes sections on the spectral resolution and spectral representation of self adjoint operators, invariant subspaces, strongly continuous one-parameter semigroups, the index of operators, the trace formula of Lidskii, the Fredholm determinant, and more.