rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Functional Analysis for the Applied Sciences
  name:
    name part: Moroşanu, Gheorghe.
    role:
      role term: creator
    role:
      role term: author.
    role:
      role term: aut
    role:
      role term: http://id.loc.gov/vocabulary/relators/aut
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  genre: Electronic books.
  origin info:
    place:
      place term: sz
    date issued: 2019
    edition: 1st ed. 2019.
    issuance: monographic
  language:
    language term: eng
  physical description:
    reformatting quality: access
    form: remote
    extent: 1 online resource (XII, 432 pages 2 illustrations)
  abstract: 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.
  table of contents: 1. Introduction -- 2. Metric Spaces -- 3. The Lebesgue Integral and Lp Spaces -- 4. Continuous Linear Operators and Functionals -- 5. Distributions, Sobolev Spaces -- 6. Hilbert Spaces -- 7. Adjoint, Symmetric and Self-adjoint Linear Operators -- 8. Eigenvalues and Eigenvectors -- 9. Semigroups of Linear Operators -- 10. Solving Linear Evolution Equations by the Fourier Method -- 11. Integral Equations -- 12. Answers to Exercises -- Bibliography.
  note: by Gheorghe Moroşanu.
  subject:
    topic: Functional analysis
  subject:
    topic: Partial differential equations
  subject:
    topic: Differential equations
  subject:
    topic: Integral equations
  subject:
    topic: Algebras, Linear
  subject:
    topic: Functional Analysis
  subject:
    topic: Partial Differential Equations
  subject:
    topic: Ordinary Differential Equations
  subject:
    topic: Integral Equations
  subject:
    topic: Linear Algebra
  classification: QA319-329.9
  classification: 515.7
  related item:
    title info:
      title: Springer Nature eBook
  related item:
    title info:
      title: Universitext
  identifier: 9783030271534
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record creation date: 191227
    record change date: 20230330185317.3
    record identifier: in00004422764