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© 2019

Functional Analysis for the Applied Sciences

Textbook
  • 11k Downloads

Part of the Universitext book series (UTX)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Gheorghe Moroşanu
    Pages 1-30
  3. Gheorghe Moroşanu
    Pages 31-63
  4. Gheorghe Moroşanu
    Pages 65-88
  5. Gheorghe Moroşanu
    Pages 89-106
  6. Gheorghe Moroşanu
    Pages 107-164
  7. Gheorghe Moroşanu
    Pages 165-199
  8. Gheorghe Moroşanu
    Pages 217-242
  9. Gheorghe Moroşanu
    Pages 243-296
  10. Gheorghe Moroşanu
    Pages 315-339
  11. Gheorghe Moroşanu
    Pages 341-427
  12. Back Matter
    Pages 429-432

About this book

Introduction

This advanced graduate textbook presents main results and techniques in Functional Analysis and uses them to explore other areas of mathematics and applications. Special attention is paid to creating appropriate frameworks towards solving significant problems involving differential and integral equations. Exercises at the end of each chapter help the reader to understand the richness of ideas and methods offered by Functional Analysis. Some of the exercises supplement theoretical material, while others relate to the real world. This textbook, with its friendly exposition, focuses on different problems in physics and other applied sciences and uniquely provides solutions to most of the exercises. The text is aimed toward graduate students and researchers in applied mathematics, physics, and neighboring fields of science.

Keywords

text functional analysis Lebesque integral continuous linear operator Lp spaces Sobolev spaces Hilbert spaces self-adjoint linear operator symmetric linear operator adjoint linear operator semigroups linear operators functional analysis applied math functional analysis physics functional analysis exercise

Authors and affiliations

  1. 1.Romanian Academy of Sciences, Bucharest, RomaniaDepartment of Mathematics, Babes-Bolyai UniversityCluj-NapocaRomania

About the authors

Gheorghe Moroşanu is a professor of mathematics who currently holds affiliations with the Central European University, Babeş-Bolyai University, and the Romanian Academy of Sciences. Previously, he held positions at the University of Stuttgart and the Alexandru Ioan Cuza University (his Alma Mater). Professor Moroşanu’s main research interests include differential equations, calculus of variations, fluid mechanics, singular perturbation theory, and various topics in applied mathematics. He is the author or co-author of a great number of research articles and fifteen books (monographs and textbooks).  In 1983 he was awarded the Gheorghe Lazar Prize of the Romanian Academy in recognition of his outstanding contributions to the theory of hyperbolic partial differential equations. Additionally, Gheorghe Moroşanu holds honorary doctorates of the University of Craiova and Ovidius University, Constanta. Recently, he has received the title of Professor Honoris Causa from the Babeş-Bolyai University.

Bibliographic information

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Reviews

“‘The book is addressed to graduate students and researchers in applied mathematics and neighboring fields of science’. … the book gives a comprehensive, well-organized and readable introduction to functional analysis with interesting applications in various neighboring fields, always providing full proofs and many valuable exercises.” (Wolfgang Lusky, Mathematical Reviews, March, 2021)