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The collected works of J. Willard Gibbs (vol. 1)

The collected works of J. Willard Gibbs (vol. 1)

Description

from Santilli 1978 (pp. 1-2):

  1. analytic formulations, e.g., Lagrange's and Hamilton's equations, Hamilton-Jacobi theory, etc.
    Whittaker (1904), Goldstein (1950), Pars (1965)
  2. variational formulations, e.g., variational problems, variational principles, etc.
    Lanczos (1949), Rund (1966)
  3. algebraic formulations, e.g., infinitesimal and finite canonical transformations, Lie algebras and Lie groups, symmetries and conservation laws, etc.
    Saletan and Cromer (1971), Sudarshan and Mukunda (1974).
  4. geometric formulations, e.g., symplectic geometry, canonical structure, etc.
    Jost (1964), Abraham and Marsden (1967), Guillemin and Sternberg (1977)
  5. statistical formulations, e.g., Liouville's theorem, equilibrium and nonequilibrium statistical mechanics, etc.
    Gibbs (1948) , Katz (1967)
  6. thermodynamic formulations, e.g., irreversible processes, entropy, etc.
    Sommerfeld (1956), Tisza (1966)
  7. many-body formulations, e.g., stability of orbits, quadrature problems, etc.
    Wintner (1941), Khilmi (1961), Hagihara (1970)