|
|
libcats.org
An Introduction to Lagrangian MechanicsAlain J. BrizardAn Introduction to Lagrangian Mechanics begins with a proper historical perspective on the Lagrangian method by presenting Fermat s Principle of Least Time (as an introduction to the Calculus of Variations) as well as the principles of Maupertuis, Jacobi, and d Alembert that preceded Hamilton s formulation of the Principle of Least Action, from which the Euler Lagrange equations of motion are derived. Other additional topics not traditionally presented in undergraduate textbooks include the treatment of constraint forces in Lagrangian Mechanics; Routh s procedure for Lagrangian systems with symmetries; the art of numerical analysis for physical systems; variational formulations for several continuous Lagrangian systems; an introduction to elliptic functions with applications in Classical Mechanics; and Noncanonical Hamiltonian Mechanics and perturbation theory.
This textbook is suitable for undergraduate students who have acquired the mathematical skills needed to complete a course in Modern Physics. Contents: The Calculus of Variations; Lagrangian Mechanics; Hamiltonian Mechanics; Motion in a Central-Force Field; Collisions and Scattering Theory; Motion in a Non-Inertial Frame; Rigid Body Motion; Normal-Mode Analysis; Continuous Lagrangian Systems; Appendices:; Basic Mathematical Methods; Elliptic Functions and Integrals; Noncanonical Hamiltonian Mechanics. EPUB | FB2 | MOBI | TXT | RTF
* Конвертация файла может нарушить форматирование оригинала. По-возможности скачивайте файл в оригинальном формате.
Популярные книги за неделю:
Система упражнений по развитию способностей человека (Практическое пособие)Автор: Петров Аркадий НаумовичКатегория: Путь к себе
Размер книги: 818 Kb
Сотворение мира (3-х томник)Автор: Петров Аркадий НаумовичКатегория: Путь к себе
Размер книги: 817 Kb
Только что пользователи скачали эти книги:
The Intellectual Origins of the European ReformationАвтор: Alister E. McGrathКатегория: Religion
Размер книги: 940 Kb
Мечты сбываются, и не сбываются! Они приходят к нам порой не так!Автор: Васюков ИгорьКатегория: Научная литература
Размер книги: 7 Kb
PROTO SOCIOLOGY Vol. 15, 2001 - On a Sociology of Borderlines: Social Process in Time of GlobalizationАвтор: Gerhard Preyer, Автор: Mathias Bös (eds.)
Размер книги: 1.20 Mb
The Revenge of the 47 Ronin: Edo 1703 (Raid 23)Автор: Stephen Turnbull & Mariusz Kozik, Автор: Alan Gilliland, Автор: Johnny Shumate (Illustrators)
Размер книги: 3.88 Mb
Martin Luther King's Biblical Epic: His Final, Great Speech (Race, Rhetoric, and Media)Автор: Keith D. Miller
Размер книги: 1.60 Mb
|
|
|