Nonlinearity & Functional Analysis: Lectures on Nonlinear Problems in Mathematical Analysis: 74 (Pure and Applied Mathematics, a Series of Monographs and Tex) - Tapa dura

Berger, Melvyn S.

 
9780120903504: Nonlinearity & Functional Analysis: Lectures on Nonlinear Problems in Mathematical Analysis: 74 (Pure and Applied Mathematics, a Series of Monographs and Tex)
Tapa dura
ISBN 10: 0120903504 ISBN 13: 9780120903504
Editorial: Academic Press, 1977

Sinopsis

Nonlinearity and Functional Analysis is a collection of lectures that aim to present a systematic description of fundamental nonlinear results and their applicability to a variety of concrete problems taken from various fields of mathematical analysis. For decades, great mathematical interest has focused on problems associated with linear operators and the extension of the well-known results of linear algebra to an infinite-dimensional context. This interest has been crowned with deep insights, and the substantial theory that has been developed has had a profound influence throughout the mathematical sciences. This volume comprises six chapters and begins by presenting some background material, such as differential-geometric sources, sources in mathematical physics, and sources from the calculus of variations, before delving into the subject of nonlinear operators. The following chapters then discuss local analysis of a single mapping and parameter dependent perturbation phenomena before going into analysis in the large. The final chapters conclude the collection with a discussion of global theories for general nonlinear operators and critical point theory for gradient mappings. This book will be of interest to practitioners in the fields of mathematics and physics, and to those with interest in conventional linear functional analysis and ordinary and partial differential equations.

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Reseña del editor

Nonlinearity and Functional Analysis is a collection of lectures that aim to present a systematic description of fundamental nonlinear results and their applicability to a variety of concrete problems taken from various fields of mathematical analysis. For decades, great mathematical interest has focused on problems associated with linear operators and the extension of the well-known results of linear algebra to an infinite-dimensional context. This interest has been crowned with deep insights, and the substantial theory that has been developed has had a profound influence throughout the mathematical sciences.

This volume comprises six chapters and begins by presenting some background material, such as differential-geometric sources, sources in mathematical physics, and sources from the calculus of variations, before delving into the subject of nonlinear operators. The following chapters then discuss local analysis of a single mapping and parameter dependent perturbation phenomena before going into analysis in the large. The final chapters conclude the collection with a discussion of global theories for general nonlinear operators and critical point theory for gradient mappings.

This book will be of interest to practitioners in the fields of mathematics and physics, and to those with interest in conventional linear functional analysis and ordinary and partial differential equations.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Academic Press
Año de publicación
1977
Idioma
Inglés
ISBN 10 
0120903504
ISBN 13 
9780120903504
Encuadernación
Tapa dura
Número de edición
1
Número de páginas
440
Contacto del fabricante
no disponible
Persona responsable
GPSR Kontakt
gpsr@libri.de

Europaallee 1
Bad Hersfeld
36244
Alemania

Otras ediciones populares con el mismo título

9780123994677: Nonlinearity & Functional Analysis: Lectures on Nonlinear Problems in Mathematical Analysis

Edición Destacada

ISBN 10:  0123994675 ISBN 13:  9780123994677
Editorial: Academic Press, 2011
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