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A student's guide to Lagrangians and Hamiltonians

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	A student's guide to Lagrangians and Hamiltonians/ Patrick Hamill.
其他題名:	A Student's Guide to Lagrangians & Hamiltonians
作者:	Hamill, Patrick.
出版者:	Cambridge :Cambridge University Press, : 2014.,
面頁冊數:	x, 173 p. :ill., digital ; : 24 cm.;
標題:	Mechanics, Analytic - Congresses. -
電子資源:	https://doi.org/10.1017/CBO9781107337572
ISBN:	9781107337572

A student's guide to Lagrangians and Hamiltonians
Hamill, Patrick.

A student's guide to Lagrangians and Hamiltonians[electronic resource] /A Student's Guide to Lagrangians & HamiltoniansPatrick Hamill. - Cambridge :Cambridge University Press,2014. - x, 173 p. :ill., digital ;24 cm.

Fundamental concepts -- The calculus of variations -- Langrangian dynamics -- Hamilton's equations -- Canonical transformations; poisson brackets -- Hamilton-Jacobi theory -- Continuous systems.

A concise but rigorous treatment of variational techniques, focussing primarily on Lagrangian and Hamiltonian systems, this book is ideal for physics, engineering and mathematics students. The book begins by applying Lagrange's equations to a number of mechanical systems. It introduces the concepts of generalized coordinates and generalized momentum. Following this the book turns to the calculus of variations to derive the Euler-Lagrange equations. It introduces Hamilton's principle and uses this throughout the book to derive further results. The Hamiltonian, Hamilton's equations, canonical transformations, Poisson brackets and Hamilton-Jacobi theory are considered next. The book concludes by discussing continuous Lagrangians and Hamiltonians and how they are related to field theory. Written in clear, simple language and featuring numerous worked examples and exercises to help students master the material, this book is a valuable supplement to courses in mechanics.

ISBN: 9781107337572Subjects--Topical Terms:

639850
Mechanics, Analytic
--Congresses.

LC Class. No.: QA805 / .H24 2014

Dewey Class. No.: 515.39

A student's guide to Lagrangians and Hamiltonians
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520 $a A concise but rigorous treatment of variational techniques, focussing primarily on Lagrangian and Hamiltonian systems, this book is ideal for physics, engineering and mathematics students. The book begins by applying Lagrange's equations to a number of mechanical systems. It introduces the concepts of generalized coordinates and generalized momentum. Following this the book turns to the calculus of variations to derive the Euler-Lagrange equations. It introduces Hamilton's principle and uses this throughout the book to derive further results. The Hamiltonian, Hamilton's equations, canonical transformations, Poisson brackets and Hamilton-Jacobi theory are considered next. The book concludes by discussing continuous Lagrangians and Hamiltonians and how they are related to field theory. Written in clear, simple language and featuring numerous worked examples and exercises to help students master the material, this book is a valuable supplement to courses in mechanics.
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