Fundamental Principles of Classical Mechanics
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9789814551489, 9789814551496

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The Kolmogorov-Arnold-Moser (KAM) Theorem

Fundamental Principles of Classical Mechanics ◽

10.1142/9789814551496_0041 ◽

2014 ◽

pp. 487-520

Keyword(s):

Kam Theorem

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Symplectic Geometry in Hamiltonian Dynamics, Hamiltonian Flows, and Poincaré-Cartan Integral Invariants

Fundamental Principles of Classical Mechanics ◽

10.1142/9789814551496_0039 ◽

2014 ◽

pp. 467-478

Keyword(s):

Symplectic Geometry ◽

Hamiltonian Dynamics ◽

Integral Invariants ◽

Hamiltonian Flows

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Symmetry and Conservation

Fundamental Principles of Classical Mechanics ◽

10.1142/9789814551496_0034 ◽

2014 ◽

pp. 399-402

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The Hamiltonian Formulation of Classical Mechanics: Hamilton's Equations of Motion

Fundamental Principles of Classical Mechanics ◽

10.1142/9789814551496_0033 ◽

2014 ◽

pp. 381-397

Keyword(s):

Equations Of Motion ◽

Hamiltonian Formulation ◽

Classical Mechanics ◽

Hamilton's Equations ◽

Hamilton’S Equations

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The Second Variation of Arclength, Index Forms, and Jacobi Fields

Fundamental Principles of Classical Mechanics ◽

10.1142/9789814551496_0030 ◽

2014 ◽

pp. 345-355

Keyword(s):

Second Variation ◽

Jacobi Fields ◽

The Second Variation

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Calculus of Variations, the Euler-Lagrange Equations, the First Variation of Arclength and Geodesics

Fundamental Principles of Classical Mechanics ◽

10.1142/9789814551496_0029 ◽

2014 ◽

pp. 329-343

Keyword(s):

Calculus Of Variations ◽

Lagrange Equations ◽

First Variation ◽

The First Variation

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Geometric Phases, Gauge Fields, and the Mechanics of Deformable Bodies: The “Falling Cat” Problem

Fundamental Principles of Classical Mechanics ◽

10.1142/9789814551496_0024 ◽

2014 ◽

pp. 261-271

Keyword(s):

Gauge Fields ◽

Geometric Phases ◽

Deformable Bodies

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Centrifugal and Coriolis Forces

Fundamental Principles of Classical Mechanics ◽

10.1142/9789814551496_0015 ◽

2014 ◽

pp. 163-169

Keyword(s):

Coriolis Forces

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Simple Applications of Newton's Laws

Fundamental Principles of Classical Mechanics ◽

10.1142/9789814551496_0013 ◽

2014 ◽

pp. 127-145

Keyword(s):

Newton’S Laws

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Newton's Laws: Inertial and Non-inertial Frames

Fundamental Principles of Classical Mechanics ◽

10.1142/9789814551496_0012 ◽

2014 ◽

pp. 117-126

Keyword(s):

Inertial Frames ◽

Newton’S Laws

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