Overview
- Organized such that highly advanced undergraduate as well as graduate level students will be able to follow the materials
- Contains unified notation and refined formulae
- All the necessary materials and information are included in this book .
- Offers almost all classical results on the Hyers—Ulam—Rassias stability in an integrated and self-contained fashion
- Includes supplementary material: sn.pub/extras
Part of the book series: Springer Optimization and Its Applications (SOIA, volume 48)
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Table of contents (14 chapters)
Keywords
About this book
No books dealing with a comprehensive illustration of the fast developing field of nonlinear analysis had been published for the mathematicians interested in this field for more than a half century until D. H. Hyers, G. Isac and Th. M. Rassias published their book, "Stability of Functional Equations in Several Variables".
This book will complement the books of Hyers, Isac and Rassias and of Czerwik (Functional Equations and Inequalities in Several Variables) by presenting mainly the results applying to the Hyers-Ulam-Rassias stability. Many mathematicians have extensively investigated the subjects on the Hyers-Ulam-Rassias stability. This book covers and offers almost all classical results on the Hyers-Ulam-Rassias stability in an integrated and self-contained fashion.
Reviews
From the reviews:
…I am more than happy to write my opinion on Soon-Mo Jung’s book, as a new addition in this rapidly growing field of mathematics, which will help interested mathematicians and graduate students to understand further this beautiful domain of research… The book contains 14 chapters…concludes with a very useful bibliography of 364 references and an index. It will definitely guide mathematics students to a decisive first step into this abstract, yet intriguing, field of mathematics.
The author has succeeded in presenting to both mathematicians and graduate students an invaluable source of essential mathematics. The book will certainly before a standard reference for stability of functional equations in nonlinear analysis.
̶̶ Themistocles M. Rassias (EMS Newsletter, December 2011)
“This book is intended to provide an overview of the theory of the stability of functional equations. It is very useful for undergraduate/graduate students and also for anyone interested in Hyers-Ulam stability problems. The book is well written; the style is very accessible and clear.” (Paşc Găvruţa, Mathematical Reviews, Issue 2012 c)
“This interesting book is devoted to an exposition of some new significant results of the Hyers-Ulam-Rassias stability of functional equations, difference equations and related topics in Functional Analysis. … This book is well written in a concise, clear and readable style. … The book is a good source for specialists and graduate students working in functional equations.” (Mohammad Sal Moslehian, Zentralblatt MATH, Vol. 1221, 2011)
Authors and Affiliations
About the author
Soon-Mo Jung is a highly respected mathematician who was born in 1957 in Seocheon, South Korea. He received his BS in Atomic Nuclear Engineering at the Seoul National University and received his BS, MS, and PhDs in Mathematics at the University of Stuttgart.
Dr. Jung has published approximately 150 research papers in the areas of functional equations, classical analysis, analytical geometry, measure theory, fractals, number theory, and algebra, and has published 5 books. This present volume will be his first book published with Springer. However, Soon-Mo has contributed papers to several edited volumes and journals such as “Nonlinear Analysis and Variational Problems” (SOIA 35), Acta Mathematica Sinica, Bulletin of the Brazilian Math Society, Proceedings Mathematical Sciences, and Journal of Central South University of Technology.
Bibliographic Information
Book Title: Hyers-Ulam-Rassias Stability of Functional Equations in Nonlinear Analysis
Authors: Soon-Mo Jung
Series Title: Springer Optimization and Its Applications
DOI: https://doi.org/10.1007/978-1-4419-9637-4
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media, LLC 2011
Hardcover ISBN: 978-1-4419-9636-7Published: 25 April 2011
Softcover ISBN: 978-1-4614-2862-6Published: 28 May 2013
eBook ISBN: 978-1-4419-9637-4Published: 11 April 2011
Series ISSN: 1931-6828
Series E-ISSN: 1931-6836
Edition Number: 1
Number of Pages: XIV, 362
Topics: Difference and Functional Equations, Analysis, Functional Analysis