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https://doi.org/10.1142/9789814503150_0001Cited by:0 (Source: Crossref)
Abstract:

The following sections are included:

  • Summary and Motivation

  • Philosophical Approach

  • Guide for the Reader

  • Intuitive Discussion of the Conceptual Framework

    • The Analogy Between Entropy and Action

    • Adiabatic Invariants and Pseudo-forces

    • Symmetries and Exact Invariants

    • Thermodynamic Forces

    • Wave Action

    • Action, Entropy and Asymptotics

    • Steepest Descents, Stationary Phase, and Averaging

    • The Key Examples in Mechanics, Waves, and Statistics

    • Mechanical Systems

    • Mechanical Systems: Separation of Time Scales

    • Averaging in Statistical Systems

    • Averaging and Local Fourier Transforms

    • Symplectic Asymptotics in Thermodynamics and Mechanics

  • A Hundred Further Questions, Conjectures, and Suggestions