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The Resource Functional Analysis for the Applied Sciences, by Gheorghe Moroşanu, (electronic resource)

Functional Analysis for the Applied Sciences, by Gheorghe Moroşanu, (electronic resource)

Creator
Summary
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.--
Language
eng
Work
Publication
Edition
1st ed. 2019.
Extent
1 online resource (XII, 432 pages)
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
Isbn
9783030271534
Link
https://eui.idm.oclc.org/login?url=https://doi.org/10.1007/978-3-030-27153-4
Instance
Label
Functional Analysis for the Applied Sciences
Title
Functional Analysis for the Applied Sciences
Statement of responsibility
by Gheorghe Moroşanu
Creator
Subject
Language
eng
Summary
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.--
Member of
Assigning source
Provided by publisher
http://library.link/vocab/creatorName
Moroşanu, Gheorghe
Image bit depth
0
Literary form
non fiction
Nature of contents
dictionaries
Series statement
  • Universitext,
  • Springer eBooks.
http://library.link/vocab/subjectName
  • Functional analysis
  • Partial differential equations
  • Differential equations
  • Integral equations
  • Algebras, Linear
Label
Functional Analysis for the Applied Sciences, by Gheorghe Moroşanu, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=https://doi.org/10.1007/978-3-030-27153-4
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
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
Control code
978-3-030-27153-4
Dimensions
unknown
Edition
1st ed. 2019.
Extent
1 online resource (XII, 432 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783030271534
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-030-27153-4
Other physical details
2 illustrations
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1134853717
Label
Functional Analysis for the Applied Sciences, by Gheorghe Moroşanu, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=https://doi.org/10.1007/978-3-030-27153-4
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
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
Control code
978-3-030-27153-4
Dimensions
unknown
Edition
1st ed. 2019.
Extent
1 online resource (XII, 432 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783030271534
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-030-27153-4
Other physical details
2 illustrations
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1134853717

Subject

Member of

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