عنوان

Variational principles in classical mechanics /

(Number (ISBN

0998837245

(Number (ISBN

0998837261

(Number (ISBN

9780998837246

(Number (ISBN

9780998837260

Erroneous ISBN

0998837253

Erroneous ISBN

9780998837253

Title Proper

Variational principles in classical mechanics /

General Material Designation

[Book]

First Statement of Responsibility

Douglas Cline, University of Rochester ; illustrator, Meghan Sarkis.

Place of Publication, Distribution, etc.

Rochester, NY :

Place of Publication, Distribution, etc.

Minneapolis :

Name of Publisher, Distributor, etc.

University of Rochester River Campus Libraries, University of Rochester,

Name of Publisher, Distributor, etc.

Open Textbook Library

Date of Publication, Distribution, etc.

[2017]-

Date of Publication, Distribution, etc.

©2017-

Specific Material Designation and Extent of Item

1 online resource :

Other Physical Details

illustrations (some colour)

Series Title

Open textbook library

Text of Note

Includes bibliographical references and index.

Frequency

Updated irregularly.

Text of Note

A brief history of classical mechanics -- Review of Newtonian mechanics -- Linear oscillators -- Nonlinear systems and chaos -- Calculus of variations -- Lagrangian dynamics -- Symmetries, invariance and the Hamiltonian -- Hamiltonian mechanics -- Conservative two-body central forces -- Non-inertial reference frames -- Rigid-body rotation -- Coupled linear oscillators -- Hamilton's principle of least action -- Advanced Hamiltonian mechanics -- Analytical formulations for continuous systems -- Relativistic mechanics -- The transition to quantum physics -- Appendices: Matrix algebra ; Vector algebra ; Orthogonal coordinate systems ; Coordinate transformations ; Tensor algebra ; Aspects of multivariate calculus ; Vector differential calculus ; Vector integral calculus ; Waveform analysis.

0

Text of Note

"Two dramatically different philosophical approaches to classical mechanics were developed during the 17th - 18th centuries. Newton developed his vectorial formulation that uses time-dependent differential equations of motion to relate vector observables like force and rate of change of momentum. Euler, Lagrange, Hamilton, and Jacobi, developed powerful alternative variational formulations based on the assumption that nature follows the principle of least action. These powerful variational formulations have become the preeminent philosophical approach used in modern science, as well as having applications to other fields such as economics and engineering. This book introduces variational principles, and illustrates the intellectual beauty, the remarkable power, and the broad scope, of applying variational principles to classical mechanics. A brief review of Newtonian mechanics compares and contrasts the relative merits of the intuitive Newtonian vectorial formulation, with the more powerful analytical variational formulations. Applications presented cover a wide variety of topics, as well as extensions to accommodate relativistic mechanics, and quantum theory."--Open Textbook Library.

Text of Note

Mode of access: World Wide Web.

Mechanics.

Quantum theory.

Variational principles.

Mechanics.

Quantum theory.

Variational principles.

Class number

Book number

Cline, Douglas

Sarkis, Meghan

Open Textbook Library,distributor.

Date of Transaction

20200822145213.0

Electronic name

[Book]

Y