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Classical Mechanics An Undergraduate Text~tqw~ darksiderg

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Classical Mechanics: An Undergraduate Text
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Type.................: Ebook
Part Size............: 7,940,194 bytes




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Posted by............: ~tqw~

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Release Notes
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Mechanics is the study of the motion of physical objects. As such, the subject
finds its applications in all areas of physics and engineering. Topics covered
in this complete guide to mechanics include Newton\'s, Lagrange\'s and Hamilton\'s
equations of motion, kinematics, oscillation, particle mechanics and rigid body
motion. A thorough understanding of the theory is provided by illustrating the
classical laws of motion with many relevant examples, Matlab code and case
studies. Solutions to exercises are available.

Table of Contents

1 The algebra and calculus of vectors 3
2 Velocity, acceleration and scalar angular velocity 25
3 Newton\'s laws of motion and the law of gravitation 50
4 Problems in particle dynamics 73
5 Linear oscillations 105
6 Energy conservation 131
7 Orbits in a central field 155
8 Non-linear oscillations and phase space 194
9 The energy principle 221
10 The linear momentum principle 245
11 The angular momentum principle 286
12 Lagrange\'s equations and conservation principles 323
13 The calculus of variations and Hamilton\'s principle 366
14 Hamilton\'s equations and phase space 393
15 The general theory of small oscillations 421
16 Vector angular velocity and rigid body kinematics 457
17 Rotating reference frames 469
18 Tensor algebra and the inertia tensor 492
19 Problems in rigid body dynamics 522
App Centres of mass and moments of inertia 564

Product Details

* ISBN: 0521826780
* ISBN-13: 9780521826785
* Format: Hardcover, 450pp
* Publisher: Cambridge University Press
* Pub. Date: March 2006

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