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The Resource Essential mathematics for the physical sciences, Volume I, Homogeneous boundary value problems, Fourier methods, and special functions, Brett Borden, James Luscombe

Essential mathematics for the physical sciences, Volume I, Homogeneous boundary value problems, Fourier methods, and special functions, Brett Borden, James Luscombe

Label
Essential mathematics for the physical sciences, Volume I, Homogeneous boundary value problems, Fourier methods, and special functions
Title
Essential mathematics for the physical sciences
Title number
Volume I
Title part
Homogeneous boundary value problems, Fourier methods, and special functions
Statement of responsibility
Brett Borden, James Luscombe
Title variation
Homogeneous boundary value problems, Fourier methods, and special functions
Creator
Contributor
Author
Publisher
Subject
Language
eng
Summary
Physics is expressed in the language of mathematics; it is deeply ingrained in how physics is taught and how it's practiced. A study of the mathematics used in science is thus a sound intellectual investment for training as scientists and engineers. This first volume of two is centered on methods of solving partial differential equations and the special functions introduced. This text is based on a course offered at the Naval Postgraduate School (NPS) and while produced for NPS needs, it will serve other universities well
Member of
Additional physical form
Also available in print.
Biographical or historical data
Brett Borden in a Professor of Physics at the Naval Postgraduate School in Monterey, California. Dr. Borden joined the faculty of NPS in 2002, after 22 years as a Research Physicist at The Naval Weapons Center. His research has centered on inverse problems with particular concentration in radar-based imaging and remote sensing. He is a fellow of the Institute of Physics, a member of the editorial board for the journal Inverse Problems, and received China Lake's TD award for Technical Achievement in 1995. James Luscombe is a Professor of Physics at the Naval Postgraduate School in Monterey, California. Dr. Luscombe joined the faculty of NPS in 1994. He is active in theoretical condensed matter physics research, with more than 60 journal articles published and more than 100 conference presentations made. His current research interests are in the electronic and magnetic properties of nano-scale systems, quantum computing, and statistical physics for networked computers.
Cataloging source
CaBNVSL
http://library.link/vocab/creatorDate
1954-
http://library.link/vocab/creatorName
Borden, Brett
Dewey number
530.15
Illustrations
illustrations
Index
no index present
LC call number
QA401
LC item number
.B674 2017eb
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorDate
1954-
http://library.link/vocab/relatedWorkOrContributorName
  • Luscombe, James H.
  • Morgan & Claypool Publishers
  • Institute of Physics (Great Britain)
Series statement
  • IOP release 4
  • IOP concise physics,
http://library.link/vocab/subjectName
  • Mathematical physics
  • Mathematical Physics
  • SCIENCE
  • Mathematical physics
Target audience
adult
Label
Essential mathematics for the physical sciences, Volume I, Homogeneous boundary value problems, Fourier methods, and special functions, Brett Borden, James Luscombe
Instantiates
Publication
Distribution
Note
  • "Version: 20171001"--Title page verso
  • "A Morgan & Claypool publication as part of IOP Concise Physics"--Title page verso
  • Title from PDF title page (viewed on November 18, 2017)
Bibliography note
Includes bibliographical references
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • 1. Partial differential equations -- 2. Separation of variables -- 2.1. Helmholtz equation -- 2.2. Helmholtz equation in rectangular coordinates -- 2.3. Helmholtz equation in cylindrical coordinates -- 2.4. Helmholtz equation in spherical coordinates -- 2.5. Roadmap : where we are headed
  • 3. Power-series solutions of ODEs -- 3.1. Analytic functions and the Frobenius method -- 3.2. Ordinary points -- 3.3. Regular singular points -- 3.4. Wronskian method for obtaining a second solution -- 3.5. Bessel and Neumann functions -- 3.6. Legendre polynomials
  • 4. Sturm-Liouville theory -- 4.1. Differential equations as operators -- 4.2. Sturm-Liouville systems -- 4.3. The SL eigenvalue problem, L[y] = -[lambda]wy -- 4.4. Dirac delta function -- 4.5. Completeness -- 4.6. Hilbert space : a brief introduction
  • 5. Fourier series and integrals -- 5.1. Fourier series -- 5.2. Complex form of Fourier series -- 5.3. General intervals -- 5.4. Parseval's theorem -- 5.5. Back to the delta function -- 5.6. Fourier transform -- 5.7. Convolution integral
  • 6. Spherical harmonics and friends -- 6.1. Properties of the Legendre polynomials, Pl(x) -- 6.2. Associated Legendre functions, Pl m(x) -- 6.3. Spherical harmonic functions, Yl m([theta], [phi]) -- 6.4. Addition theorem for Yl m([theta], [phi]) -- 6.5. Laplace equation in spherical coordinates
  • 7. Bessel functions and friends -- 7.1. Small-argument and asymptotic forms -- 7.2. Properties of the Bessel functions, Jn(x) -- 7.3. Orthogonality -- 7.4. Bessel series -- 7.5. Fourier-Bessel transform -- 7.6. Spherical Bessel functions -- 7.7. Expansion of plane waves in spherical coordinates
  • Appendices -- A. Topics in linear algebra -- B. Vector calculus -- C. Power series -- D. Gamma function, [Gamma](x)
Control code
1012426595
Dimensions
unknown
Extent
1 online resource (1 PDF (various pagings))
File format
multiple file formats
Form of item
online
Isbn
9781681744872
Media category
electronic
Media MARC source
isbdmedia
Other control number
10.1088/978-1-6817-4485-8
Other physical details
illustrations (some color)
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1012426595
System details
  • Mode of access: World Wide Web
  • System requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader
Label
Essential mathematics for the physical sciences, Volume I, Homogeneous boundary value problems, Fourier methods, and special functions, Brett Borden, James Luscombe
Publication
Distribution
Note
  • "Version: 20171001"--Title page verso
  • "A Morgan & Claypool publication as part of IOP Concise Physics"--Title page verso
  • Title from PDF title page (viewed on November 18, 2017)
Bibliography note
Includes bibliographical references
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • 1. Partial differential equations -- 2. Separation of variables -- 2.1. Helmholtz equation -- 2.2. Helmholtz equation in rectangular coordinates -- 2.3. Helmholtz equation in cylindrical coordinates -- 2.4. Helmholtz equation in spherical coordinates -- 2.5. Roadmap : where we are headed
  • 3. Power-series solutions of ODEs -- 3.1. Analytic functions and the Frobenius method -- 3.2. Ordinary points -- 3.3. Regular singular points -- 3.4. Wronskian method for obtaining a second solution -- 3.5. Bessel and Neumann functions -- 3.6. Legendre polynomials
  • 4. Sturm-Liouville theory -- 4.1. Differential equations as operators -- 4.2. Sturm-Liouville systems -- 4.3. The SL eigenvalue problem, L[y] = -[lambda]wy -- 4.4. Dirac delta function -- 4.5. Completeness -- 4.6. Hilbert space : a brief introduction
  • 5. Fourier series and integrals -- 5.1. Fourier series -- 5.2. Complex form of Fourier series -- 5.3. General intervals -- 5.4. Parseval's theorem -- 5.5. Back to the delta function -- 5.6. Fourier transform -- 5.7. Convolution integral
  • 6. Spherical harmonics and friends -- 6.1. Properties of the Legendre polynomials, Pl(x) -- 6.2. Associated Legendre functions, Pl m(x) -- 6.3. Spherical harmonic functions, Yl m([theta], [phi]) -- 6.4. Addition theorem for Yl m([theta], [phi]) -- 6.5. Laplace equation in spherical coordinates
  • 7. Bessel functions and friends -- 7.1. Small-argument and asymptotic forms -- 7.2. Properties of the Bessel functions, Jn(x) -- 7.3. Orthogonality -- 7.4. Bessel series -- 7.5. Fourier-Bessel transform -- 7.6. Spherical Bessel functions -- 7.7. Expansion of plane waves in spherical coordinates
  • Appendices -- A. Topics in linear algebra -- B. Vector calculus -- C. Power series -- D. Gamma function, [Gamma](x)
Control code
1012426595
Dimensions
unknown
Extent
1 online resource (1 PDF (various pagings))
File format
multiple file formats
Form of item
online
Isbn
9781681744872
Media category
electronic
Media MARC source
isbdmedia
Other control number
10.1088/978-1-6817-4485-8
Other physical details
illustrations (some color)
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1012426595
System details
  • Mode of access: World Wide Web
  • System requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader

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