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Lagrangian and Hamiltonian analytica...

Pletser, Vladimir.

Lagrangian and Hamiltonian analytical mechanicsforty exercises resolved and explained /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Lagrangian and Hamiltonian analytical mechanicsby Vladimir Pletser.
其他題名:	forty exercises resolved and explained /
作者:	Pletser, Vladimir.
出版者:	Singapore :Springer Singapore :2018.
面頁冊數:	ix, 128 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	Mechanics, AnalyticStudy and teaching.
電子資源:	https://doi.org/10.1007/978-981-13-3026-1
ISBN:	9789811330261$q(electronic bk.)

Lagrangian and Hamiltonian analytical mechanicsforty exercises resolved and explained /
Pletser, Vladimir.

Lagrangian and Hamiltonian analytical mechanicsforty exercises resolved and explained /[electronic resource] :by Vladimir Pletser. - Singapore :Springer Singapore :2018. - ix, 128 p. :ill., digital ;24 cm. - UNITEXT for physics,2198-7882. - UNITEXT for physics..

Introduction -- Lagrange equations -- Hamilton Equations -- First Integral and Variational Principle -- Canonical Transformations or Contact Transformations -- Hamilton-Jacobi Equations -- Phase Integral and Action-Angle Variables.

This textbook introduces readers to the detailed and methodical resolution of classical and more recent problems in analytical mechanics. This valuable learning tool includes worked examples and 40 exercises with step-by-step solutions, carefully chosen for their importance in classical, celestial and quantum mechanics. The collection comprises six chapters, offering essential exercises on: (1) Lagrange Equations; (2) Hamilton Equations; (3) the First Integral and Variational Principle; (4) Canonical Transformations; (5) Hamilton - Jacobi Equations; and (6) Phase Integral and Angular Frequencies Each chapter begins with a brief theoretical review before presenting the clearly solved exercises. The last two chapters are of particular interest, because of the importance and flexibility of the Hamilton-Jacobi method in solving many mechanical problems in classical mechanics, as well as quantum and celestial mechanics. Above all, the book provides students and teachers alike with detailed, point-by-point and step-by-step solutions of exercises in Lagrangian and Hamiltonian mechanics, which are central to most problems in classical physics, astronomy, celestial mechanics and quantum physics.

ISBN: 9789811330261$q(electronic bk.)

Standard No.: 10.1007/978-981-13-3026-1doiSubjects--Topical Terms:

826668
Mechanics, Analytic
--Study and teaching.

LC Class. No.: QA808.8 / .P548 2018

Dewey Class. No.: 531.01515

Lagrangian and Hamiltonian analytical mechanicsforty exercises resolved and explained /
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