Analytical Mechanics

Translated from the Mécanique analytique, novelle édition of 1811

Authors:

Editors:

ISBN: 978-90-481-4779-3 (Print) 978-94-015-8903-1 (Online)

Table of contents (20 chapters)

  1. Front Matter

    Pages i-10

  2. Statics

    1. No Access

      Chapter

      Pages 11-26

      The Various Principles of Statics

    2. No Access

      Chapter

      Pages 26-37

      A General Formula of Statics and its Application to the Equilibrium of an Arbitrary System of Forces

    3. No Access

      Chapter

      Pages 37-59

      The General Properties of Equilibrium of a System of Bodies Deduced from the Preceding Formula

    4. No Access

      Chapter

      Pages 60-82

      A More General and Simpler Way to Use the Formula of Equilibrium Presented in Section II

    5. No Access

      Chapter

      Pages 82-136

      The Solution of Various Problems of Statics

    6. No Access

      Chapter

      Pages 136-140

      The Principles of Hydrostatics

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      Chapter

      Pages 140-163

      The Equilibrium of Incompressible Fluids

    8. No Access

      Chapter

      Pages 164-167

      The Equilibrium of Compressible and Elastic Fluids

  3. Dynamics

    1. No Access

      Chapter

      Pages 169-184

      The Various Principles of Dynamics

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      Chapter

      Pages 184-190

      A General Formula of Dynamics for the Motion of a System of Bodies Moved by Arbitrary Forces

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      Chapter

      Pages 190-223

      General Properties of Motion Deduced from the Preceding Formula

    4. No Access

      Chapter

      Pages 223-236

      Differential Equations for the Solution of All Problems of Dynamics

    5. No Access

      Chapter

      Pages 236-252

      A General Method of Approximation for the Problems of Dynamics Based on the Variation of Arbitrary Constants

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      Chapter

      Pages 253-305

      The Very Small Oscillations of an Arbitrary System of Bodies

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      Chapter

      Pages 311-442

      The Motion of a System of Free Bodies Treated as Mass Points and Acted Upon by Forces of Attraction

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      Chapter

      Pages 442-467

      The Motion of Constrained Bodies Which Interact in an Arbitrary Fashion

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      Chapter

      Pages 467-517

      Rotational Motion

    10. No Access

      Chapter

      Pages 517-521

      The Principles of Hydrodynamics

    11. No Access

      Chapter

      Pages 521-560

      The Motion of Incompressible Fluids

    12. No Access

      Chapter

      Pages 560-573

      The Motion of Compressible and Elastic Fluids

  4. Back Matter

    Pages 575-594