Variational Methods in Mathematical Physics: A Unified Approach (Theoretical and Mathematical Physics)

Blanchard, Philippe, Brüning, Erwin

ISBN 10: 3642827004 ISBN 13: 9783642827006
Published by Springer, 2011
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This is a nicely organized introduction to the direct methods of variational calculus focusing on the study of critical points of nonlinear functionals. It addresses students of mathematics and physics, and gives many applications to mechanics, classical field theory, boundary and eigenvalue problems of important partial differential equations, and also modern Thomas-Fermi theory.

Language Notes: Text: English (translation)
Original Language: German

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Title: Variational Methods in Mathematical Physics:...
Publisher: Springer
Publication Date: 2011
Binding: Paperback
Condition: Like New
Book Type: book

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Blanchard, Philippe; Brüning, Erwin
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Taschenbuch. Condition: Neu. Variational Methods in Mathematical Physics | A Unified Approach | Philippe Blanchard (u. a.) | Taschenbuch | xii | Englisch | 2011 | Springer | EAN 9783642827006 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu. Seller Inventory # 106366801

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Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -This is a nicely organized introduction to the direct methods of variational calculus focusing on the study of critical points of nonlinear functionals. It addresses students of mathematics and physics, and gives many applications to mechanics, classical field theory, boundary and eigenvalue problems of important partial differential equations, and also modern Thomas-Fermi theory.Springer-Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 424 pp. Englisch. Seller Inventory # 9783642827006

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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The first edition (in German) had the prevailing character of a textbook owing to the choice of material and the manner of its presentation. This second (translated, revised, and extended) edition, however, includes in its new parts considerably more recent and advanced results and thus goes partially beyond the textbook level. We should emphasize here that the primary intentions of this book are to provide (so far as possible given the restrictions of space) a selfcontained presentation of some modern developments in the direct methods of the cal culus of variations in applied mathematics and mathematical physics from a unified point of view and to link it to the traditional approach. These modern developments are, according to our background and interests: (i) Thomas-Fermi theory and related theories, and (ii) global systems of semilinear elliptic partial-differential equations and the existence of weak solutions and their regularity. Although the direct method in the calculus of variations can naturally be considered part of nonlinear functional analysis, we have not tried to present our material in this way. Some recent books on nonlinear functional analysis in this spirit are those by K. Deimling (Nonlinear Functional Analysis, Springer, Berlin Heidelberg 1985) and E. Zeidler (Nonlinear Functional Analysis and Its Applications, Vols. 1-4; Springer, New York 1986-1990). 424 pp. Englisch. Seller Inventory # 9783642827006

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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - The first edition (in German) had the prevailing character of a textbook owing to the choice of material and the manner of its presentation. This second (translated, revised, and extended) edition, however, includes in its new parts considerably more recent and advanced results and thus goes partially beyond the textbook level. We should emphasize here that the primary intentions of this book are to provide (so far as possible given the restrictions of space) a selfcontained presentation of some modern developments in the direct methods of the cal culus of variations in applied mathematics and mathematical physics from a unified point of view and to link it to the traditional approach. These modern developments are, according to our background and interests: (i) Thomas-Fermi theory and related theories, and (ii) global systems of semilinear elliptic partial-differential equations and the existence of weak solutions and their regularity. Although the direct method in the calculus of variations can naturally be considered part of nonlinear functional analysis, we have not tried to present our material in this way. Some recent books on nonlinear functional analysis in this spirit are those by K. Deimling (Nonlinear Functional Analysis, Springer, Berlin Heidelberg 1985) and E. Zeidler (Nonlinear Functional Analysis and Its Applications, Vols. 1-4; Springer, New York 1986-1990). Seller Inventory # 9783642827006

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