000			02824cam a2200337 i 4500
001			20736216
003			OSt
005			20240628145027.0
008			181108r20191960nyu b 001 0 eng
010			_a 2018039435
020			_a9780486832753 (paperback)
020			_a0486832759 (paperback)
040			_aDLC _beng _cIISERB _erda _dDLC
042			_apcc
050	0	0	_aQC175 _b.K85 2019
082	0	0	_a530.13 K967A _223
100	1		_aKurth, Rudolf. _930475
245	1	0	_aAxiomatics of classical statistical mechanics _cRudolf Kurth.
250			_aDover edition.
260			_aMineola: _bDover Publications, _c2019.
300			_aviii, 180 pages : _c22 cm
500			_aOriginally published: New York : Pergamon Press, 1960, as volume 11 in the International series of monographs in pure and applied mathematics.
504			_aIncludes bibliographical references and index.
505	0		_aIntroduction. Statement of the problem -- Mathematical tools. Sets -- Mapping -- Point sets in the n-dimensional vector space Rn -- Topological mapping in vector spaces -- Systems of ordinary differential equations -- The lebesgue measure -- The Lebesgue integral -- Hubert spaces -- The phase flows of mechanical systems. Mechanical systems -- Phase flow; Liouville's theorem -- Stationary measure-conserving phase flow; Poincaré's, Hopf's and Jacobi's theorems.
505	0		_aThe theorems of V. Neumann and Birkhoff; the ergodic hypothesis -- The initial distribution of probability in the phase space. A formal description of the concept of probability -- On the application of the concept of probability -- Probability distributions which depend on time. Mechanical systems with general equations of motion -- Hamiltonian and newtonian systems -- The initial value problem -- The approach of mechanical systems towards states of statistical equilibrium -- Time-independent probability distributions. Fluctuations in statistical equilibrium -- Gibbs's canonic probability distribution -- Statistical thermodynamics. The equation of state -- The fundamental laws of thermodynamics -- Entropy and probability.
520			_a"Requiring only familiarity with the elements of calculus and analytical geometry, this monograph constructs classical statistical mechanics as a deductive system, based on the equations of motion and the basic postulates of probability. The book consists chiefly of theorems and proofs that are expressed in a manner that reveals the theory's logical structure. A chapter on mathematical tools makes the treatment as self-contained as possible."--
650		0	_aStatistical mechanics. _930476
906			_a7 _bcbc _corignew _d1 _eecip _f20 _gy-gencatlg
942			_2ddc _cBK
999			_c10363 _d10363