An Introduction to Nonlinear Analysis: Theory

Zdzislaw Denkowski (u. a.)

ISBN 10: 0306473925 / ISBN 13: 9780306473920

Published by Springer, 2003

An Introduction to Nonlinear Analysis: Theory | Zdzislaw Denkowski (u. a.) | Buch | Englisch | 2003 | Springer | EAN 9780306473920 | Verantwortliche Person für die EU: Springer Nature Customer Service Center GmbH, Europaplatz 3, 69115 Heidelberg, productsafety[at]springernature[dot]com | Anbieter: preigu Print on Demand. Seller Inventory # 102572014

Synopsis:

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.

Review:

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)

Bibliographic Details

Title: An Introduction to Nonlinear Analysis: Theory
Publisher: Springer
Publication Date: 2003
Binding: Buch
Condition: Neu