Wintersalen Sale
 
 

Special Offers see all

Enter to WIN a $100 Credit

Subscribe to PowellsBooks.news
for a chance to win.
Privacy Policy

Tour our stores


    Recently Viewed clear list


    Original Essays | November 7, 2014

    Karelia Stetz-Waters: IMG The Hot Sex Tip Cosmo Won't Tell You



    Cosmopolitan Magazine recently released an article titled "28 Mind-Blowing Lesbian Sex Positions." Where was this vital information when I was a... Continue »
    1. $10.47 Sale Trade Paper add to wish list

    spacer
Qualifying orders ship free.
$118.50
New Hardcover
Ships in 1 to 3 days
Add to Wishlist
available for shipping or prepaid pickup only
Available for In-store Pickup
in 7 to 12 days
Qty Store Section
25 Remote Warehouse Mathematics- Geometry General

Geometric Mechanics on Riemannian Manifolds

by

Geometric Mechanics on Riemannian Manifolds Cover

 

Synopses & Reviews

Publisher Comments:

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 Schrödinger'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. Main topics include: Lagrangian formalism on Riemannian manifolds; energy momentum tensor and conservation laws; Hamiltonian formalism; Hamilton-Jacobi theory; harmonic functions, maps, and geodesics; fundamental solutions for heat operators with potential; and a variational approach to mechanical curves. The text is enriched with good examples and exercises at the end of every chapter. 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.

Synopsis:

*  A geometric approach to problems in physics, many of which cannot be solved by any other methods * Text is enriched with good examples and exercises at the end of every chapter * Fine for a course or seminar directed at grad and adv. undergrad students interested in elliptic and hyperbolic differential equations, differential geometry, calculus of variations, quantum mechanics, and physics

Table of Contents

* Preface * Introductory Chapter * Laplace Operator 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 * Bibliography * Index

Product Details

ISBN:
9780817643546
Author:
Calin, Ovidiu (edt)
Publisher:
Birkhauser
Author:
Calin, Ovidiu
Author:
Chang, Der-Chen
Author:
Calino
Location:
Boston, MA
Subject:
Geometry - Differential
Subject:
Mechanics, analytic
Subject:
Differential equations, partial
Subject:
Geometry, analytic
Subject:
Mathematical Analysis
Subject:
Riemannian manifolds
Subject:
Mathematics-Geometry - General
Subject:
Differential geometry
Subject:
PARTIAL DIFFERENTIAL EQUATIONS
Subject:
mathematical methods in physics
Subject:
abstract harmonic analysis
Subject:
APPLICATIONS OF MATHEMATICS
Subject:
Mathematics
Subject:
The Arts
Subject:
mathematics and statistics
Subject:
Global differential geometry.
Subject:
Mathematical Physics
Subject:
Harmonic analysis
Copyright:
Edition Number:
1
Edition Description:
Book
Series:
Applied and Numerical Harmonic Analysis
Publication Date:
October 2004
Binding:
HARDCOVER
Language:
English
Illustrations:
Y
Pages:
294
Dimensions:
235 x 155 mm 1310 gr

Other books you might like

  1. Algebraic Transformation Groups and... New Hardcover $180.25
  2. Fourier Analysis and Convexity... New Trade Paper $130.25
  3. Elementary Differential Geometry Used Trade Paper $37.50
  4. Computational Homology New Hardcover $108.50
  5. Ergebnisse Der Mathematik Und Ihrer... New Hardcover $219.75
  6. Newton Methods for Nonlinear... New Hardcover $150.50

Related Subjects

Reference » Science Reference » Technology
Science and Mathematics » Mathematics » Analysis General
Science and Mathematics » Mathematics » Calculus » General
Science and Mathematics » Mathematics » Differential Geometry
Science and Mathematics » Mathematics » General
Science and Mathematics » Mathematics » Geometry » General

Geometric Mechanics on Riemannian Manifolds New Hardcover
0 stars - 0 reviews
$118.50 In Stock
Product details 294 pages Birkhauser - English 9780817643546 Reviews:
"Synopsis" by , *  A geometric approach to problems in physics, many of which cannot be solved by any other methods * Text is enriched with good examples and exercises at the end of every chapter * Fine for a course or seminar directed at grad and adv. undergrad students interested in elliptic and hyperbolic differential equations, differential geometry, calculus of variations, quantum mechanics, and physics
spacer
spacer
  • back to top

FOLLOW US ON...

     
Powell's City of Books is an independent bookstore in Portland, Oregon, that fills a whole city block with more than a million new, used, and out of print books. Shop those shelves — plus literally millions more books, DVDs, and gifts — here at Powells.com.