Variational Principles For Second-order Differential Equations, Application Of The Spencer Theory Of (Hardback)
  • Variational Principles For Second-order Differential Equations, Application Of The Spencer Theory Of (Hardback)
zoom

Variational Principles For Second-order Differential Equations, Application Of The Spencer Theory Of (Hardback)

(author), (author)
£79.00
Hardback 228 Pages / Published: 26/05/2000
  • We can order this

Usually dispatched within 3 weeks

  • This item has been added to your basket
The inverse problem of the calculus of variations was first studied by Helmholtz in 1887 and it is entirely solved for the differential operators, but only a few results are known in the more general case of differential equations. This book looks at second-order differential equations and asks if they can be written as Euler-Lagrangian equations. If the equations are quadratic, the problem reduces to the characterization of the connections which are Levi-Civita for some Riemann metric.To solve the inverse problem, the authors use the formal integrability theory of overdetermined partial differential systems in the Spencer-Quillen-Goldschmidt version. The main theorems of the book furnish a complete illustration of these techniques because all possible situations appear: involutivity, 2-acyclicity, prolongation, computation of Spencer cohomology, computation of the torsion, etc.

Publisher: World Scientific Publishing Co Pte Ltd
ISBN: 9789810237349
Number of pages: 228
Weight: 458 g
Dimensions: 230 x 161 x 19 mm

You may also be interested in...

Maths for Chemistry
Added to basket
£29.99
Paperback
Schaums Outline of Tensor Calculus
Added to basket
Schaum's Outline of Calculus
Added to basket
The Calculus Lifesaver
Added to basket
Calculus for the Ambitious
Added to basket
Calculus
Added to basket
£41.99
Hardback
A Brief Guide to the Great Equations
Added to basket
Classical Mechanics
Added to basket
An Equation for Every Occasion
Added to basket
Limits, Limits Everywhere
Added to basket
A First Course in Real Analysis
Added to basket
The Cartoon Guide to Calculus
Added to basket
Schaum's Outline of Vector Analysis
Added to basket

Reviews

Please sign in to write a review

Your review has been submitted successfully.