An Introduction to Nonlinear Analysis: Theory - Hardcover

Hardcover

ISBN 10: 0306473925 ISBN 13: 9780306473920

Verlag: Springer, 2003

Inhaltsangabe

An Introduction to Nonlinear Analysis: Theory is an overview of some basic, important aspects of Nonlinear Analysis, with an emphasis on those not included in the classical treatment of the field. Today Nonlinear Analysis is a very prolific part of modern mathematical analysis, with fascinating theory and many different applications ranging from mathematical physics and engineering to social sciences and economics. Topics covered in this book include the necessary background material from topology, measure theory and functional analysis (Banach space theory). The text also deals with multivalued analysis and basic features of nonsmooth analysis, providing a solid background for the more applications-oriented material of the book An Introduction to Nonlinear Analysis: Applications by the same authors.

The book is self-contained and accessible to the newcomer, complete with numerous examples, exercises and solutions. It is a valuable tool, not only for specialists in the field interested in technical details, but also for scientists entering Nonlinear Analysis in search of promising directions for research.

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Críticas

From the reviews:

"At last! A teachable book on Nonlinear Analysis. Written with the teacher and the student in mind, this book will certainly acquire an important position in everybody's Nonlinear Analysis library."
(A.G. Kartsatos, University of South Florida)

"This book provides a self-contained and systematic introduction to the mathematical foundations of nonlinear analysis. The authors have written a splendid text. ... Each chapter contains illustrative examples perfectly adjusted to the context. At the end of each chapter there are valuable comments, both historical and bibliographical ... . To sum up, the work is an important addition to a rather meager set of text/reference books on modern nonlinear analysis. ... it was a pleasure to study and review the book." (S. Burys, Zentralblatt MATH, Vol. 1040, 2004)

Reseña del editor

An Introduction to Nonlinear Analysis: Theory is an overview of some basic, important aspects of Nonlinear Analysis, with an emphasis on those not included in the classical treatment of the field. Today Nonlinear Analysis is a very prolific part of modern mathematical analysis, with fascinating theory and many different applications ranging from mathematical physics and engineering to social sciences and economics. Topics covered in this book include the necessary background material from topology, measure theory and functional analysis (Banach space theory). The text also deals with multivalued analysis and basic features of nonsmooth analysis, providing a solid background for the more applications-oriented material of the book An Introduction to Nonlinear Analysis: Applications by the same authors.

The book is self-contained and accessible to the newcomer, complete with numerous examples, exercises and solutions. It is a valuable tool, not only for specialists in the field interested in technical details, but also for scientists entering Nonlinear Analysis in search of promising directions for research.

Details zur Ausgabe

• Verlag: Springer
• Erscheinungsdatum: 2003
• Sprache: Englisch
• ISBN 10: 0306473925
• ISBN 13: 9780306473920
• Einband: Tapa dura
• Anzahl der Seiten: 708
• Herausgeber: Denkowski Zdzislaw, Migórski Stanislaw, Papageorgiou Nikolaos S.
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: CMN Printpool Inh. Mathis Neumann; https://www.also.com/ec/cms5/en_6000/6000/index.jsp; ; Friedrich-Karl-Str. 9; Hamburg; Deutschland