The Resource Boundary and eigenvalue problems in mathematical physics, Hans Sagan, (electronic resource)
Boundary and eigenvalue problems in mathematical physics, Hans Sagan, (electronic resource)
Resource Information
The item Boundary and eigenvalue problems in mathematical physics, Hans Sagan, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Lane Public Library.This item is available to borrow from 1 library branch.
Resource Information
The item Boundary and eigenvalue problems in mathematical physics, Hans Sagan, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Lane Public Library.
This item is available to borrow from 1 library branch.
- 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
- Language
- eng
- Extent
- 1 online resource (399 pages)
- Isbn
- 9780486150925
- Label
- Boundary and eigenvalue problems in mathematical physics
- Title
- Boundary and eigenvalue problems in mathematical physics
- Statement of responsibility
- Hans Sagan
- 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)
- 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)
- 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
Library Links
Embed
Settings
Select options that apply then copy and paste the RDF/HTML data fragment to include in your application
Embed this data in a secure (HTTPS) page:
Layout options:
Include data citation:
<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.lanepl.org/portal/Boundary-and-eigenvalue-problems-in-mathematical/LJthTZ6afEY/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.lanepl.org/portal/Boundary-and-eigenvalue-problems-in-mathematical/LJthTZ6afEY/">Boundary and eigenvalue problems in mathematical physics, Hans Sagan, (electronic resource)</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.lanepl.org/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.lanepl.org/">Lane Public Library</a></span></span></span></span></div>
Note: Adjust the width and height settings defined in the RDF/HTML code fragment to best match your requirements
Preview
Cite Data - Experimental
Data Citation of the Item Boundary and eigenvalue problems in mathematical physics, Hans Sagan, (electronic resource)
Copy and paste the following RDF/HTML data fragment to cite this resource
<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.lanepl.org/portal/Boundary-and-eigenvalue-problems-in-mathematical/LJthTZ6afEY/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.lanepl.org/portal/Boundary-and-eigenvalue-problems-in-mathematical/LJthTZ6afEY/">Boundary and eigenvalue problems in mathematical physics, Hans Sagan, (electronic resource)</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.lanepl.org/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.lanepl.org/">Lane Public Library</a></span></span></span></span></div>
