Research Topics in Analysis: Grounding Theory - Couverture souple

Hu, Shouchuan; Papageorgiou, Nikolaos S.

 
9783031178399: Research Topics in Analysis: Grounding Theory
Couverture souple
ISBN 10 : 3031178394 ISBN 13 : 9783031178399
Editeur : Birkhauser Verlag AG, 2023

Synopsis

This book, which is the first of two volumes, presents, in a unique way, some of the most relevant research tools of modern analysis. This work empowers young researchers with all the necessary techniques to explore the various subfields of this broad subject, and introduces relevant frameworks where these tools can be immediately deployed.
Volume I starts with the foundations of modern analysis. The first three chapters are devoted to topology, measure theory, and functional analysis. Chapter 4 offers a comprehensive analysis of the main function spaces, while Chapter 5 covers more concrete subjects, like multivariate analysis, which are closely related to applications and more difficult to find in compact form. Chapter 6 deals with smooth and non-smooth calculus of functions; Chapter 7 introduces certain important classes of nonlinear operators; and Chapter 8 complements the previous three chapters with topics of variational analysis.
Eachchapter of this volume finishes with a list of problems - handy for understanding and self-study - and historical notes that give the reader a more vivid picture of how the theory developed. Volume II consists of various applications using the tools and techniques developed in this volume.
By offering a clear and wide picture of the tools and applications of modern analysis, this work can be of great benefit not only to mature graduate students seeking topics for research, but also to experienced researchers with an interest in this vast and rich field of mathematics.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l?auteur

​Shouchuan Hu is a Distinguished Professor at Missouri State University, USA. He holds a PhD in Mathematics from the University of Texas at Arlington. Dr. Hu is Director of the AIMS - American Institute of Mathematical Sciences and Editor-in-Chief of the "Discrete and Continuous Dynamical Systems" journal. He co-authored, along with Dr. Papageorgiou, the two-volume set "Handbook of Multivalued Analysis" (1997), published by Springer.

Nikolaos S. Papageorgiou is a Professor at the National Technical University of Athens, Greece. He holds a PhD in Applied Mathematics (1983) from Harvard University, USA, and degrees in Mathematics and Electrical Engineering, both from Massachusetts Institute of Technology - MIT. Dr. Papageorgiou has co-authored over a dozen books, including "Exercises in Analysis" (2016) and "Nonlinear Analysis - Theory and Methods" (2019), both published by Springer.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Birkhauser Verlag AG
Date d'édition
2023
Langue
anglais
ISBN 10 
3031178394
ISBN 13 
9783031178399
Reliure
Broché
Nombre de pages
535
Coordonnées du fabricant
non disponible
Personne responsable
CMN Printpool Inh. Mathis Neumann
https://www.also.com/ec/cms5/en_6000/6000/index.jsp

Friedrich-Karl-Str. 9
Hamburg
Allemagne

Autres éditions populaires du même titre

9783031178368: Research Topics in Analysis: Grounding Theory

Edition présentée

ISBN 10 :  303117836X ISBN 13 :  9783031178368
Editeur : Birkhauser Verlag AG, 2022
Couverture rigide