عنوان
پدید آورنده
موضوع
رده
QA671 .G46 2005
QA671
.
G46
2005
کتابخانه
محل استقرار
INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
0817643540
(Number (ISBN
9780817643546
NATIONAL BIBLIOGRAPHY NUMBER
Number
b522787
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Geometric mechanics on Riemannian manifolds :
General Material Designation
[Book]
Other Title Information
applications to partial differential equations /
First Statement of Responsibility
Ovidiu Calin, Der-Chen Chang
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Boston :
Name of Publisher, Distributor, etc.
Birkhäuser,
Date of Publication, Distribution, etc.
[2005]
Date of Publication, Distribution, etc.
©2005
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
xv, 278 pages ;
Dimensions
24 cm
SERIES
Series Title
Applied and numerical harmonic analysis
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references (pages 271-273) and index
SUMMARY OR ABSTRACT
Text of Note
"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
Text of Note
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
TOPICAL NAME USED AS SUBJECT
Differential equations, Partial
Global Riemannian geometry
Mechanics, Analytic
Riemannian manifolds
(SUBJECT CATEGORY (Provisional
QA
DEWEY DECIMAL CLASSIFICATION
Number
516
.
3/73
Edition
22
LIBRARY OF CONGRESS CLASSIFICATION
Class number
QA671
Book number
.
G46
2005
PERSONAL NAME - ALTERNATIVE RESPONSIBILITY
Calin, Ovidiu
Chang, Der-chen E
ORIGINATING SOURCE
Date of Transaction
20160712073502.0
ELECTRONIC LOCATION AND ACCESS
Electronic name
مطالعه متن کتاب [Book]
Y
