A Treatise on the Kinetic Theory of Gases by Henry William Watson

By Henry William Watson

The 1st variation of Mr. Watson’s ebook was once released in 1876. the current, a revised, a lot greater, and multiplied quantity, is issued additionally in a handier shape. The ebook is, after all, primarily mathematical: it bargains nearly completely with the precise excellent fuel, and supposes that figment of the mathematical brain) “perfect elasticity” to exist for the molecules. it kind of feels to us that, until eventually we all know extra concerning the inner kinetic power of molecules and its legislation of dissipation into the encompassing ether, the kinetic concept of gases needs to stay the place Dr. Watson leaves it, a mathematical workout instead of a conceivable actual idea. Dr. Watson retains away from physics lovely regularly, or even the identify of Van der Waals doesn't look in his treatise. It lacks a desk of contents or an index. Such books, specially whilst released by way of a college press, at the moment are very unusual, and shortly the reviewer will suppose in a position to cross them through with the only remark “no index”!

The Academy and Literature, quantity forty five [1894]

Show description

By Henry William Watson

The 1st variation of Mr. Watson’s ebook was once released in 1876. the current, a revised, a lot greater, and multiplied quantity, is issued additionally in a handier shape. The ebook is, after all, primarily mathematical: it bargains nearly completely with the precise excellent fuel, and supposes that figment of the mathematical brain) “perfect elasticity” to exist for the molecules. it kind of feels to us that, until eventually we all know extra concerning the inner kinetic power of molecules and its legislation of dissipation into the encompassing ether, the kinetic concept of gases needs to stay the place Dr. Watson leaves it, a mathematical workout instead of a conceivable actual idea. Dr. Watson retains away from physics lovely regularly, or even the identify of Van der Waals doesn't look in his treatise. It lacks a desk of contents or an index. Such books, specially whilst released by way of a college press, at the moment are very unusual, and shortly the reviewer will suppose in a position to cross them through with the only remark “no index”!

The Academy and Literature, quantity forty five [1894]

Show description

Read Online or Download A Treatise on the Kinetic Theory of Gases PDF

Best mathematics books

Multiparameter Eigenvalue Problems and Expansion Theorems

This e-book presents a self-contained therapy of 2 of the most difficulties of multiparameter spectral thought: the life of eigenvalues and the growth in sequence of eigenfunctions. the implications are first acquired in summary Hilbert areas after which utilized to fundamental operators and differential operators.

Séminaire Bourbaki, Vol. 1, 1948-1951, Exp. 1-49

Desk of Contents

* 1 Henri Cartan Les travaux de Koszul, I (Lie algebra cohomology)
* 2 Claude Chabauty Le théorème de Minkowski-Hlawka (Minkowski-Hlawka theorem)
* three Claude Chevalley L'hypothèse de Riemann pour les corps de fonctions algébriques de caractéristique p, I, d'après Weil (local zeta-function)
* four Roger Godement Groupe complexe unimodulaire, I : Les représentations unitaires irréductibles du groupe complexe unimodulaire, d'après Gelfand et Neumark (representation conception of the advanced exact linear group)
* five Léo Kaloujnine Sur l. a. constitution de p-groupes de Sylow des groupes symétriques finis et de quelques généralisations infinies de ces groupes (Sylow theorems, symmetric teams, endless staff theory)
* 6. Pierre Samuel los angeles théorie des correspondances birationnelles selon Zariski (birational geometry)
* 7 Jean Braconnier Sur les suites de composition d'un groupe et l. a. travel des groupes d'automorphismes d'un groupe fini, d'après H. Wielandt (finite groups)
* eight Henri Cartan, Les travaux de Koszul, II (see 1)
* nine Claude Chevalley, L'hypothèse de Riemann pour les groupes de fonctions algébriques de caractéristique p, II,, d'après Weil (see 3)
* 10 Luc Gauthier, Théorie des correspondances birationnelles selon Zariski (see 6)
* eleven Laurent Schwartz, Sur un mémoire de Petrowsky : "Über das Cauchysche challenge für ein procedure linearer partieller Differentialgleichungen im gebiete nichtanalytischen Funktionen" (partial differential equations)
* 12 Henri Cartan, Les travaux de Koszul, III (see 1)
* thirteen Roger Godement, Groupe complexe unimodulaire, II : l. a. transformation de Fourier dans le groupe complexe unimodulaire à deux variables, d'après Gelfand et Neumark (see 4)
* 14 Marc Krasner, Les travaux récents de R. Brauer en théorie des groupes (finite groups)
* 15 Laurent Schwartz, Sur un deuxième mémoire de Petrowsky : "Über das Cauchysche challenge für procedure von partiellen Differentialgleichungen" (see 11)
* sixteen André Weil Théorèmes fondamentaux de l. a. théorie des fonctions thêta, d'après des mémoires de Poincaré et Frobenius (theta functions)
* 17 André Blanchard, Groupes algébriques et équations différentielles linéaires, d'après E. Kolchin (differential Galois theory)
* 18 Jean Dieudonné, Géométrie des espaces algébriques homogènes, d'après W. L. Chow (algebraic geometry)
* 19 Roger Godement, Sommes keeps d'espaces de Hilbert, I (functional research, direct integrals)
* 20 Charles Pisot, Démonstration élémentaire du théorème des nombres premiers, d'après Selberg et Erdös (prime quantity theorem)
* 21 Georges Reeb, Propriétés des trajectoires de certains systèmes dynamiques (dynamical systems)
* 22 Pierre Samuel, Anneaux locaux ; creation à los angeles géométrie algébrique (local rings)
* 23 Marie-Hélène Schwartz, Compte-rendu de travaux de M. Heins sur diverses majorations de los angeles croissance des fonctions analytiques et sous-harmoniques (complex research, subharmonic functions)
* 24 Charles Ehresmann, Les connexions infinitésimales dans un espace fibré différentiable (connections on fiber bundles)
* 25 Roger Godement, Sommes maintains d'espaces de Hilbert, II (see 19)
* 26 Laurent Schwartz, Sur un mémoire de okay. Kodaira : "Harmonic fields in riemannian manifolds (generalized capability theory)", I (Hodge theory)
* 27 Jean-Pierre Serre, Extensions de groupes localement compacts, d'après Iwasawa et Gleason (locally compact groups)
* 28 René Thom, Les géodésiques dans les variétés à courbure négative, d'après Hopf (geodesics)
* 29 Armand Borel, Groupes localement compacts, d'après Iwasawa et Gleason (see 27)
* 30 Jacques Dixmier, Facteurs : category, size, hint (von Neumann algebras)
* 31 Jean-Louis Koszul, Algèbres de Jordan (Jordan algebras)
* 32 Laurent Schwartz, Sur un mémoire de ok. Kodaira : "Harmonic fields in riemannian manifolds (generalized capability theory)", II (see 26)
* 33 Armand Borel, Sous-groupes compacts maximaux des groupes de Lie, d'après Cartan, Iwasawa et Mostow (maximal compact subgroups)
* 34 Henri Cartan, Espaces fibrés analytiques complexes (analytic geometry, fiber bundles)
* 35 Charles Ehresmann, Sur les variétés presque complexes (almost-complex manifolds)
* 36 Samuel Eilenberg, Exposition des théories de Morse et Lusternick-Schnirelmann (Morse idea, Lyusternik-Schnirelmann category)
* 37 Luc Gauthier, Quelques variétés usuelles en géométrie algébrique (algebraic geometry)
* 38 Jean-Louis Koszul, Cohomologie des espaces fibrés différentiables et connexions (Chern-Weil theory)
* 39 Jean Delsarte, Nombre de recommendations des équations polynomiales sur un corps fini, d'après A. Weil (Weil conjectures)
* forty Jacques Dixmier, Anneaux d'opérateurs et représentations des groupes (operator algebras, illustration theory)
* forty-one Roger Godement, Théorie des caractères dans les groupes unimodulaires (unimodular groups)
* forty two Pierre Samuel, Théorie du corps de sessions neighborhood selon G. P. Hochschild (local type box theory)
* forty three Laurent Schwartz, Les théorèmes de Whitney sur les fonctions différentiables (singularity theory)
* forty four Jean-Pierre Serre, Groupes d'homotopie (homotopy groups)
* forty five Armand Borel, Cohomologie des espaces homogènes (cohomology of homogeneous areas of Lie groups)
* forty six Samuel Eilenberg, Foncteurs de modules et leurs satellites, d'après Cartan et Eilenberg (homological algebra)
* forty seven Marc Krasner, Généralisations non-abéliennes de l. a. théorie locale des corps de sessions (local fields)
* forty eight Jean Leray, los angeles résolution des problèmes de Cauchy et de Dirichlet au moyen du calcul symbolique et des projections orthogonales et obliques (Dirichlet difficulties and Cauchy difficulties for partial differential equations, symbolic calculus)
* forty nine Pierre Samuel, Sections hyperplanes des variétés normales, d'après A. Seidenberg (algebraic geometry, hyperplane sections, general kind)

Additional resources for A Treatise on the Kinetic Theory of Gases

Example text

The chance the state At of any one of these r molecules, as J/15 being in we have seen is as where dst and dq-L ... qm respectively. Since the total number of molecules in the whole infinitely large, the chance of any one of them being gas in is any be regarded as independent of the states of the other molecules, and therefore the chance of the r molecules in unit of mass being at any time in the states A l A 2 ... Tr9 or the total kinetic energy of the whole of the r molecules in that particular arrangement of the coordinates and velocities.

H. , formerly Fellow of St. John's College, Cambridge, and was published in the Philosophical Magazine for January, 1876. KINETIC THEORY OP GASES. -~- _ Now if r V dh^dv' dh we have temperature, dv dv be the 51 ' dv 3 ^=-( But ,. /(r -= CuT p)^v + pdv . The expression obtained by Rankine and other writers upon thermodynamics .

Xi> energy of the whole mass collected at the centre of mass and acted on by the external forces, and therefore a function of and X2 or ^ ne potential energy of the mutual forces and therefore a function of the jo's only. #, y, z only, (if any), 35 KINETIC THEORY OF GASES. the Therefore coordinates lie number of molecules between x and x + d#, &c. Pe~ where of P and h (xi + xzldx . ,dp m \ 2 are functions of the M of the . , y, only. If therefore jo's we centres of the we integrate the last expression with respect to set whose number of molecules of the M find for the mass lie within the parallelepiped das dy dz the expression So that case, we p = m Ce~ h *i and therefore, as in the elastic sphere obtain the equations =P f dy f = P X, dx = ^ dz Y, P Z.

Download PDF sample

Rated 4.54 of 5 – based on 11 votes