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A student's guide to analytical mechanics / John L. Bohn (University of Colorado Boulder).

By: Series: Student guide seriesPublisher: Cambridge, United Kingdom : Cambridge University Press, 2018Copyright date: ©2018Description: xii, 205 pages : illustrations ; 23 cmContent type:
  • text
Media type:
  • unmediated
Carrier type:
  • volume
ISBN:
  • 9781316509074
  • 1316509079
Other title:
  • Analytical mechanics
Subject(s): LOC classification:
  • QA807 .B646 2018
Contents:
Part I. Overview. Why analytical mechanics? ; Ways of looking at a pendulum -- Part II. Equations of motion. Constraints and d'Alembert's principle ; Lagrangian mechanics ; Samples from Lagrangian mechanics ; Hamiltonian mechanics -- Part III. Methods of solution. Hamilton -- Jacobi theory ; Action-angle variables ; More applications of analytical mechanics.
Summary: "Analytical mechanics is a set of mathematical tools used to describe a wide range of physical systems, both in classical mechanics and beyond. It offers a powerful and elegant alternative to Newtonian mechanics; however it can be challenging to learn due to its high degree of mathematical complexity. Designed to offer a more intuitive guide to this abstract topic, this guide explains the mathematical theory underlying analytical mechanics; helping students to formulate, solve and interpret complex problems using these analytical tools. Each chapter begins with an example of a physical system to illustrate the theoretical steps to be developed in that chapter, and ends with a set of exercises to further develop students' understanding. The book presents the fundamentals of the subject in depth before extending the theory to more elaborate systems, and includes a further reading section to ensure that this is an accessible companion to all standard textbooks."--Publisher's description.
Holdings
Item type Current library Shelving location Call number Copy number Status Date due Barcode
Book Book NMC Library Stacks QA807 .B646 2018 (Browse shelf(Opens below)) 1 Available 33039001458602

Includes bibliographical references (pages 201-202) and index.

Part I. Overview. Why analytical mechanics? ; Ways of looking at a pendulum -- Part II. Equations of motion. Constraints and d'Alembert's principle ; Lagrangian mechanics ; Samples from Lagrangian mechanics ; Hamiltonian mechanics -- Part III. Methods of solution. Hamilton -- Jacobi theory ; Action-angle variables ; More applications of analytical mechanics.

"Analytical mechanics is a set of mathematical tools used to describe a wide range of physical systems, both in classical mechanics and beyond. It offers a powerful and elegant alternative to Newtonian mechanics; however it can be challenging to learn due to its high degree of mathematical complexity. Designed to offer a more intuitive guide to this abstract topic, this guide explains the mathematical theory underlying analytical mechanics; helping students to formulate, solve and interpret complex problems using these analytical tools. Each chapter begins with an example of a physical system to illustrate the theoretical steps to be developed in that chapter, and ends with a set of exercises to further develop students' understanding. The book presents the fundamentals of the subject in depth before extending the theory to more elaborate systems, and includes a further reading section to ensure that this is an accessible companion to all standard textbooks."--Publisher's description.

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