Coverart for item
The Resource Geometric mechanics on Riemannian manifolds : applications to partial differential equations, Ovidiu Calin, Der-Chen Chang

Geometric mechanics on Riemannian manifolds : applications to partial differential equations, Ovidiu Calin, Der-Chen Chang

Label
Geometric mechanics on Riemannian manifolds : applications to partial differential equations
Title
Geometric mechanics on Riemannian manifolds
Title remainder
applications to partial differential equations
Statement of responsibility
Ovidiu Calin, Der-Chen Chang
Contributor
Subject
Language
eng
Summary
"Differential geometry techniques have very useful and important applications in partial differential equations and quantum mechanics. This work presents a purely geometric treatment of problems in physics involving quantum harmonic oscillators, quartic oscillators, minimal surfaces, and Schrodinger's, Einstein's and Newton's equations. Historically, problems in these areas were approached using the Fourier transform or path integrals, although in some cases (e.g., the case of quartic oscillators) these methods do not work. New geometric methods are introduced in the work that have the advantage of providing quantitative or at least qualitative descriptions of operators, many of which cannot be treated by other methods. And, conservation laws of the Euler-Lagrange equations are employed to solve the equations of motion qualitatively when quantitative analysis is not possible." "Geometric Mechanics on Riemannian Manifolds is a fine text for a course or seminar directed at graduate and advanced undergraduate students interested in elliptic and hyperbolic differential equations, differential geometry, calculus of variations, quantum mechanics, and physics. It is also an ideal resource for pure and applied mathematicians and theoretical physicists working in these areas."--Jacket
Member of
Cataloging source
COO
Dewey number
516.3/73
Index
index present
LC call number
QA671
LC item number
.G46 2005
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorName
  • Calin, Ovidiu
  • Chang, Der-chen E
Series statement
Applied and Numerical Harmonic Analysis
http://library.link/vocab/subjectName
  • Riemannian manifolds
  • Global Riemannian geometry
  • Mechanics, Analytic
  • Differential equations, Partial
  • Riemann, Variétés de
  • Géométrie riemannienne globale
  • Mécanique analytique
  • Équations aux dérivées partielles
  • Differential equations, Partial
  • Global Riemannian geometry
  • Mechanics, Analytic
  • Riemannian manifolds
  • Riemannsche Geometrie
  • Theoretische Mechanik
  • Partielle Differentialgleichung
Label
Geometric mechanics on Riemannian manifolds : applications to partial differential equations, Ovidiu Calin, Der-Chen Chang
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 271-273) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Introductory Chapter -- Laplace Operators on Riemannian Manifolds -- Lagrangian Formalism on Riemannian Manifolds -- Harmonic Maps from a Lagrangian Viewpoint -- Conservation Theorems -- Hamiltonian Formalism -- Hamilton-Jacobi Theory -- Minimal Hypersurfaces -- Radially Symmetric Spaces -- Fundamental Solutions for Heat Operators with Potentials -- Fundamental Solutions for Elliptic Operators -- Mechanical Curves
Control code
619481767
Dimensions
unknown
Extent
1 online resource (xv, 278 pages).
Form of item
online
Isbn
9780817644215
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/b138771
http://library.link/vocab/ext/overdrive/overdriveId
133575
Specific material designation
remote
System control number
(OCoLC)619481767
Label
Geometric mechanics on Riemannian manifolds : applications to partial differential equations, Ovidiu Calin, Der-Chen Chang
Publication
Bibliography note
Includes bibliographical references (pages 271-273) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Introductory Chapter -- Laplace Operators on Riemannian Manifolds -- Lagrangian Formalism on Riemannian Manifolds -- Harmonic Maps from a Lagrangian Viewpoint -- Conservation Theorems -- Hamiltonian Formalism -- Hamilton-Jacobi Theory -- Minimal Hypersurfaces -- Radially Symmetric Spaces -- Fundamental Solutions for Heat Operators with Potentials -- Fundamental Solutions for Elliptic Operators -- Mechanical Curves
Control code
619481767
Dimensions
unknown
Extent
1 online resource (xv, 278 pages).
Form of item
online
Isbn
9780817644215
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/b138771
http://library.link/vocab/ext/overdrive/overdriveId
133575
Specific material designation
remote
System control number
(OCoLC)619481767

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      38.944491 -92.326012
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