MARC details
| 000 -LEADER |
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| fixed length control field |
02620nam a22002057a 4500 |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20221201150401.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
221201b |||||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9789814623629 |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
515.64 |
| Item number |
BRI |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Brizard, Alain Jean |
| 245 ## - TITLE STATEMENT |
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| Title |
An introduction to Lagrangian mechanics |
| Statement of responsibility, etc. |
Alain Jean Brizard |
| 250 ## - EDITION STATEMENT |
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| Edition statement |
2nd edition |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. |
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| Place of publication, distribution, etc. |
New Jersey : |
| Name of publisher, distributor, etc. |
World Scientific, [Hackensack], |
| Date of publication, distribution, etc. |
2015 |
| 300 ## - PHYSICAL DESCRIPTION |
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| Page number |
xviii, 305 pages : |
| Other physical details |
illustrations ; |
| Dimensions |
23 cm |
| 505 ## - FORMATTED CONTENTS NOTE |
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| Title |
The calculus of variations<br/> |
| -- |
Lagrangian mechanics<br/> |
| -- |
Hamiltonian mechanics<br/> |
| -- |
Motion in a central-force field<br/> |
| -- |
Collisions and scattering theory<br/> |
| -- |
Motion in a non-inertial frame<br/> |
| -- |
Rigid body motion<br/> |
| -- |
Normal-mode analysis<br/> |
| -- |
Continuous Lagrangian systmes |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc. |
An Introduction to Lagrangian Mechanics begins with a proper historical perspective on the Lagrangian method by presenting Fermat's Principle of Least Time (as an introduction to the Calculus of Variations) as well as the principles of Maupertuis, Jacobi, and d'Alembert that preceded Hamilton's formulation of the Principle of Least Action, from which the Euler{u2013}Lagrange equations of motion are derived. Other additional topics not traditionally presented in undergraduate textbooks include the treatment of constraint forces in Lagrangian Mechanics; Routh's procedure for Lagrangian systems with symmetries; the art of numerical analysis for physical systems; variational formulations for several continuous Lagrangian systems; an introduction to elliptic functions with applications in Classical Mechanics; and Noncanonical Hamiltonian Mechanics and perturbation theory. The Second Edition includes a larger selection of examples and problems (with hints) in each chapter and continues the strong emphasis of the First Edition on the development and application of mathematical methods (mostly calculus) to the solution of problems in Classical Mechanics. New material has been added to most chapters. For example, a new derivation of the Noether theorem for discrete Lagrangian systems is given and a modified Rutherford scattering problem is solved exactly to show that the total scattering cross section associated with a confined potential (i.e., which vanishes beyond a certain radius) yields the hard-sphere result. The Frenet-Serret formulas for the Coriolis-corrected projectile motion are presented, where the Frenet-Serret torsion is shown to be directly related to the Coriolis deflection, and a new treatment of the sleeping-top problem is given. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
Hamiltonian systems |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
Lagrangian functions |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Source of classification or shelving scheme |
Dewey Decimal Classification |
| Koha item type |
Books |
| 952 ## - LOCATION AND ITEM INFORMATION (KOHA) |
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| -- |
5706 |
| 952 ## - LOCATION AND ITEM INFORMATION (KOHA) |
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5707 |
