MARC details
| 000 -LEADER |
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| fixed length control field |
03259nam a2200385 4500 |
| 001 - CONTROL NUMBER |
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| control field |
OTLid0000490 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
MnU |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20201105133334.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS |
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| fixed length control field |
m o d s |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
180907s2018 mnu o 0 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9780998837260 |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
MnU |
| Language of cataloging |
eng |
| Transcribing agency |
MnU |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
QH301 |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
QC21.3 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Cline, Douglas |
| Relator term |
author |
| 245 00 - TITLE STATEMENT |
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| Title |
Variational Principles in Classical Mechanics |
| Statement of responsibility, etc. |
Douglas Cline |
| 250 ## - EDITION STATEMENT |
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| Edition statement |
Second Edition |
| 264 #2 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
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| Name of producer, publisher, distributor, manufacturer |
Open Textbook Library |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
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| Name of producer, publisher, distributor, manufacturer |
University of Rochester River Campus Libraries |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
1 online resource |
| 490 0# - SERIES STATEMENT |
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| Series statement |
Open textbook library. |
| 505 0# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
Contents -- Preface -- Prologue -- 1 A brief history of classical mechanics -- 2 Review of Newtonian mechanics -- 3 Linear oscillators -- 4 Nonlinear systems and chaos -- 5 Calculus of variations -- 6 Lagrangian dynamics -- 7 Symmetries, Invariance and the Hamiltonian -- 8 Hamiltonian mechanics -- 9 Conservative two-body central forces -- 10 Non-inertial reference frames -- 11 Rigid-body rotation -- 12 Coupled linear oscillators -- 13 Hamilton's principle of least action -- 14 Advanced Hamiltonian mechanics -- 15 Analytical formulations for continuous systems -- 16 Relativistic mechanics -- 17 The transition to quantum physics -- 18 Epilogue -- Appendices |
| 520 0# - SUMMARY, ETC. |
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| Summary, etc. |
Two dramatically different philosophical approaches to classical mechanics were proposed 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 variational formulations now play a pivotal role in science and engineering. This book introduces variational principles and their application to classical mechanics. The relative merits of the intuitive Newtonian vectorial formulation, and the more powerful variational formulations are compared. Applications to a wide variety of topics illustrate the intellectual beauty, remarkable power, and broad scope provided by use of variational principles in physics. This second edition adds discussion of the use of variational principles applied to the following topics: Systems subject to initial boundary conditions The hierarchy of the related formulations based on action, Lagrangian, Hamiltonian, and equations of motion, to systems that involve symmetries Non-conservative systems. Variable-mass systems. The General Theory of Relativity. The first edition of this book can be downloaded at the publisher link. |
| 542 1# - INFORMATION RELATING TO COPYRIGHT STATUS |
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| Copyright statement |
Attribution-NonCommercial-ShareAlike |
| 546 ## - LANGUAGE NOTE |
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| Language note |
In English. |
| 588 0# - SOURCE OF DESCRIPTION NOTE |
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| Source of description note |
Description based on print resource |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
Science |
| Form subdivision |
Textbooks |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
Physics |
| Form subdivision |
Textbooks |
| 710 2# - ADDED ENTRY--CORPORATE NAME |
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| Corporate name or jurisdiction name as entry element |
Open Textbook Library |
| Relator term |
distributor |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
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| Uniform Resource Identifier |
<a href="https://open.umn.edu/opentextbooks/textbooks/490">https://open.umn.edu/opentextbooks/textbooks/490</a> |
| Public note |
Access online version |
