عنوان

Variational principles in classical mechanics /

شابک

0998837245

شابک

0998837261

شابک

9780998837246

شابک

9780998837260

شابک اشتباه

0998837253

شابک اشتباه

9780998837253

عنوان اصلي

Variational principles in classical mechanics /

نام عام مواد

[Book]

نام نخستين پديدآور

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

محل نشرو پخش و غیره

Rochester, NY :

محل نشرو پخش و غیره

Minneapolis :

نام ناشر، پخش کننده و غيره

University of Rochester River Campus Libraries, University of Rochester,

نام ناشر، پخش کننده و غيره

Open Textbook Library

تاریخ نشرو بخش و غیره

[2017]-

تاریخ نشرو بخش و غیره

©2017-

نام خاص و کميت اثر

1 online resource :

ساير جزييات

illustrations (some colour)

عنوان فروست

Open textbook library

متن يادداشت

Includes bibliographical references and index.

فاصله انتشار

Updated irregularly.

متن يادداشت

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.

بدون عنوان

0

متن يادداشت

"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.

متن يادداشت

Mode of access: World Wide Web.

موضوع مستند نشده

Mechanics.

موضوع مستند نشده

Quantum theory.

موضوع مستند نشده

Variational principles.

موضوع مستند نشده

Mechanics.

موضوع مستند نشده

Quantum theory.

موضوع مستند نشده

Variational principles.

شماره رده

نشانه اثر

مستند نام اشخاص تاييد نشده

Cline, Douglas

مستند نام اشخاص تاييد نشده

Sarkis, Meghan

مستند نام تنالگان تاييد نشده

Open Textbook Library,distributor.

تاريخ عمليات

20200822145213.0

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y