ISBN: 9780817631031 - exterior differential systems & the calculus of variations (progress in mathematics, 25, band 25) (4 Ergebnisse)

Zustand: New. BIC Classification: PBMP. Category: (P) Professional & Scholarly; (UP) Postgraduate; (UU) Undergraduate. . . 1990. Hardback. . . . .

Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 15 0. PRELIMINARIES a) Notations from Manifold Theory b) The Language of Jet Manifolds c) Frame Manifolds d) Differentia! Ideals e) Exterior Differential Systems EULER-LAGRANGE EQUATIONS FOR DIFFERENTIAL SYSTEMS ~liTH ONE I. 32 INDEPENDENT VARIABLE a) Setting up the Problem; Classical Examples b) Variational Equations for Integral Manifolds of Differential Systems c) Differential Systems in Good Form; the Derived Flag, Cauchy Characteristics, and Prolongation of Exterior Differential Systems d) Derivation of the Euler-Lagrange Equations; Examples e) The Euler-Lagrange Differential System; Non-Degenerate Variational Problems; Examples FIRST INTEGRALS OF THE EULER-LAGRANGE SYSTEM; NOETHER'S II. 1D7 THEOREM AND EXAMPLES a) First Integrals and Noether's Theorem; Some Classical Examples; Variational Problems Algebraically Integrable by Quadratures b) Investigation of the Euler-Lagrange System for Some Differential-Geometric Variational Pro~lems: 2 i) ( K ds for Plane Curves; i i) Affine Arclength; 2 iii) f K ds for Space Curves; and iv) Delauney Problem. II I. EULER EQUATIONS FOR VARIATIONAL PROBLEfiJS IN HOMOGENEOUS SPACES 161 a) Derivation of the Equations: i) Motivation; i i) Review of the Classical Case; iii) the Genera 1 Euler Equations 2 K /2 ds b) Examples: i) the Euler Equations Associated to f for lEn; but for Curves in i i) Some Problems as in i) sn; Non- Curves in iii) Euler Equations Associated to degenerate Ruled Surfaces IV.…

Zustand: New. BIC Classification: PBMP. Category: (P) Professional & Scholarly; (UP) Postgraduate; (UU) Undergraduate. . . 1990. Hardback. . . . . Books ship from the US and Ireland.

Hardcover. Zustand: Brand New. 348 pages. 9.21x5.98x0.79 inches. In Stock.