Research Topics in Analysis, Volume I: Grounding Theory (Birkhauser Advanced Texts / Basler Lehrbucher) - Tapa dura

Hu, Shouchuan; Papageorgiou, Nikolaos S.

 
9783031178368: Research Topics in Analysis, Volume I: Grounding Theory (Birkhauser Advanced Texts / Basler Lehrbucher)
Tapa dura
ISBN 10: 303117836X ISBN 13: 9783031178368
Editorial: Birkhäuser, 2022

Sinopsis

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. 

Each chapter 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.

"Sinopsis" puede pertenecer a otra edición de este libro.

Acerca del autor

​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.

De la contraportada

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. 

Each chapter 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.

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

Editorial
Birkhäuser
Año de publicación
2022
Idioma
Inglés
ISBN 10 
303117836X
ISBN 13 
9783031178368
Encuadernación
Tapa dura
Número de edición
1
Número de páginas
552
Contacto del fabricante
no disponible
Persona responsable
no disponible

Otras ediciones populares con el mismo título

9783031178399: Research Topics in Analysis, Volume I: Grounding Theory (Birkhauser Advanced Texts / Basler Lehrbucher)

Edición Destacada

ISBN 10:  3031178394 ISBN 13:  9783031178399
Editorial: Birkhäuser, 2023
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