An Introduction to the Calculus of VariationsHighly regarded graduate-level text introduces ideas and techniques of important mathematical topic. First and second variations of an integral, generalizations, isoperimetrical problems, least action, special relativity, Rayleigh-Ritz method, elasticity, variable end points, strong variations, more |
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Continguts
THE FIRST VARIATION | 1 |
APPROXIMATION METHODS WITH APPLICATIONS | 7 |
TI THE SECOND VARIATION | 35 |
GENERALIZATIONS OF THE RESULTS OF | 59 |
RELATIVE MAXIMA AND MINIMA AND ISOPERI | 80 |
HAMILTONS PRINCIPLE AND THE PRINCIPLE | 111 |
nomic systems | 119 |
Frases i termes més freqüents
action analysis angle apply arbitrary constants assume becomes calculus catenary chapter characteristic equation circle conjugate conjugate points conservative Consider coordinates corresponding curve defined denote dependent variable determine differential equation distance dynamical easily end points equal evident example expressed extremal field fixed follows forces function geodesics give given Hence homogeneous function illustrations independent integral intersection INTRODUCTION kinetic known least length lies mathematical maximum means method minimize minimum motion negative obtained parameters particle passes path plane points positive possible potential energy problem proof proved range reduces relative respectively result rigid root satisfy side solution stationary sufficiently surface taken tangent theorem theory trajectory vanish variables variation varied write x-axis zero
Referències a aquest llibre
Calculus of Variations: With Applications to Physics and Engineering Robert Weinstock Previsualització limitada - 1974 |
Informació bibliogràfica
| Títol | An Introduction to the Calculus of Variations Dover Books on Mathematics Dover books on advanced mathematics |
| Autor | Charles Fox |
| Edició | íntegra, reimpresa, revisada |
| Editor | Courier Corporation, 1987 |
| ISBN | 0486654990, 9780486654997 |
| Nre. de pàgines | 271 pàgines |
| Exporta citacions | BiBTeX EndNote RefMan |