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Functional Analysis for the Applied Sciences

  • Gheorghe Moroşanu
Textbook
  • 4.1k 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

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

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-030-27153-4
  • Copyright Information Springer Nature Switzerland AG 2019
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-030-27152-7
  • Online ISBN 978-3-030-27153-4
  • Series Print ISSN 0172-5939
  • Series Online ISSN 2191-6675
  • Buy this book on publisher's site
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