Coverart for item
The Resource Boundary and eigenvalue problems in mathematical physics, Hans Sagan, (electronic resource)

Boundary and eigenvalue problems in mathematical physics, Hans Sagan, (electronic resource)

Label
Boundary and eigenvalue problems in mathematical physics
Title
Boundary and eigenvalue problems in mathematical physics
Statement of responsibility
Hans Sagan
Creator
Subject
Genre
Language
eng
Summary
This well-known text uses a limited number of basic concepts and techniques -- Hamilton's principle, the theory of the first variation and Bernoulli's separation method -- to develop complete solutions to linear boundary value problems associated with second order partial differential equations such as the problems of the vibrating string, the vibrating membrane, and heat conduction. It is directed to advanced undergraduate and beginning graduate students in mathematics, applied mathematics, physics, and engineering who have completed a course in advanced calculus. In the first three chapters, Professor Sagan introduces Hamilton's principle and the theory of the first variation; he then discusses the representation of the vibrating string, the vibrating membrane and heat conduction (without convection) by partial differential equations. Bernoulli's separation method and infinite series solutions of homogeneous boundary value problems are introduced as a means for solving these problems. The next three chapters take up Fourier series, self-adjoint boundary value problems, Legendre polynomials, and Bessel functions. The concluding three chapters address the characterization of eigenvalues by a variational principle; spherical harmonics, and the solution of the Schroedinger equation for the hydrogen atom; and the nonhomogeneous boundary value problem. Professor Sagan concludes most sections of this excellent text with selected problems (solutions provided for even-numbered problems) to reinforce the reader's grasp of the theories and techniques presented
Cataloging source
CtWfDGI
http://library.link/vocab/creatorName
Sagan, Hans
Dewey number
  • 530.1/5535
  • 530.1/5535
Index
no index present
LC call number
QA401
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/subjectName
  • Eigenvalues
  • Boundary value problems
  • Mathematical physics
Target audience
adult
Label
Boundary and eigenvalue problems in mathematical physics, Hans Sagan, (electronic resource)
Link
http://lanepl.freading.com/ebooks/details/r:download/MDAwMDE4LTg2NzM1ODE=
Instantiates
Publication
Antecedent source
unknown
Control code
frd00008333
Dimensions
unknown
Extent
1 online resource (399 pages)
File format
one file format
Form of item
online
Governing access note
Access limited to subscribing institutions
Isbn
9780486150925
Level of compression
unknown
Quality assurance targets
not applicable
Reformatting quality
unknown
Specific material designation
remote
System control number
  • (Sirsi) i9780486150925
  • (Sirsi) b1440881
System details
System requirements: Adobe Digital editions
Label
Boundary and eigenvalue problems in mathematical physics, Hans Sagan, (electronic resource)
Link
http://lanepl.freading.com/ebooks/details/r:download/MDAwMDE4LTg2NzM1ODE=
Publication
Antecedent source
unknown
Control code
frd00008333
Dimensions
unknown
Extent
1 online resource (399 pages)
File format
one file format
Form of item
online
Governing access note
Access limited to subscribing institutions
Isbn
9780486150925
Level of compression
unknown
Quality assurance targets
not applicable
Reformatting quality
unknown
Specific material designation
remote
System control number
  • (Sirsi) i9780486150925
  • (Sirsi) b1440881
System details
System requirements: Adobe Digital editions

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