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Bryan G.H. — Thermodynamics: an introductory treatise
Bryan G.H. — Thermodynamics: an introductory treatise



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Название: Thermodynamics: an introductory treatise

Автор: Bryan G.H.

Аннотация:

The earlier chapters of the text are devoted to an elementary exposition of the theory of Galois Fields chiefly in their abstract form. The conception of an abstraot field is introduced by means of the simplest example, that of the classes of residues with respect to a prime modulus. For any prime number p and positive integer n, there exists one and but one Galois Field of order pn. In view of the theorem of Moore that every finite field may be represented as a Galois Field, our investigations acquire complete generality when we take as basis the general Galois Field. It was found to be impracticable to attempt to indicate the sources of the individual theorems and conceptions of the theory. Aside from the independent discovery of theorems by different writers and a general lack of reference to earlier papers, the later writers have given wide generalizations of the results of earlier investigators.
The second part of the book is intended to give an elementary exposition of the more important results concerning linear groups in a Galois Field. The linear groups investigated by Galois, Jordan and Serret were defined for the field of integers taken modulo p and the general Galois Field enters only incidentally in their investigations. The linear fractional group in a general Galois Field was partially investigated by Mathieu, and exhaustively by Moore, Burnside and Wiman. The work of Moore first emphasized the importance of employing in group problems the general Galois Field in place of the special field of integers, the results being almost as simple and the investigations no more complicated. In this way the systems of linear groups studied by Jordan have all be generalized by the author and in the investigation of new systems the Galois Jb'ield has been employed ab initio.


Язык: en

Рубрика: Физика/Термодинамика, статистическая физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1906

Количество страниц: 204

Добавлена в каталог: 02.08.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$l_{p}$, $l_{v}$      9
$x_{r}$, $X_{r}$      93
$\alpha$      9 112
$\beta$      9
$\Gamma$, $\gamma_{p}$, $\gamma_{v}$      8
$\gamma'$, $\gamma''$      11
$\lambda$      10 147
$\mathfrak{F}$, $\mathfrak{f}$      92 93
$\mathfrak{Q}$, $\mathfrak{q}$, $d\mathfrak{q}$      114
$\varepsilon$      9
A      83 84 86 90
Absent constituents      158
Absolute temperature      18 54 127
Absolute unit of heat      14
Absolute zero      19
Accelerations-energy      191
Adiabatic transformation      5 22 49
Adiabatics, equation of, for a gas      119
Air thermometer      118
Amagat      139
Andrews      12
Areas, rule of equal      141
Availability      41
Available energy      35 42 83
Avariant system      146
B      117
Bancroft, Wilder D.      184
Battery, gas      166
Bivariant system      145
Black body radiations      99
Black body radiations, entropy of      103
Body, temperature of moving      66
Boltzmann — Maxwell law      189
Boltzmann’s investigation      101
Boyle      7 116
Burbury      preface IV
Cagniard de la Tour      12
Calorie      4
Calorie, gram      4
Calorie, great      4
Calorie, kilogram      4
Calorie, small      4
Carnot      15 19
Carnot’s cycle      15 51
Carnot’s cycle, dynamical model of      185
Carnot’s function      19
Changes of phase      10
Charles’ or Gay Lussac’s law      117
Chemical changes and combustion      75
Clapeyron      15 19 109
Clausius      15 117 139 143 190
Clausius — Szily system      190
Clausius, inequalities      59 61
Coefficients of a gas      20 117
Coefficients of cubical expansion      9 112
Coefficients, differential      8 23
Coefficients, partial differential      23
Coefficients, thermal      7 20 108 111
Combustion and chemical changes      75
Compensating transformations      41
Complex, properties of a      177
Complex, saturated      10 140
Complex, supersaturated      140
Complex, thermodynamic model of      177 179
Complex, unsaturated      140
Compound system      5
Compressibility      9
Conduction of heat      69
Conservation of energy      31 43
Conservation of entropy      78
Conservation of heat      14
Constant pressure, specific heat at      8
Constant pressure, universal gas      118
Constant pressure, volume, specific heat at      8
Constants in the potentials      94
Constants of integration, arbitrary      40 66
Constituents, absent      158
Continuity of the liquid and gaseous states      178
Convection, electric      174
Conversion of work into heat, irreversible      71
Coordinates, force      30
Coordinates, generalised      93
Coordinates, partial potentials as      180
Coordinates, triangular      183
Critical phenomena      138
Critical point      12 137
Critical pressure      12
Critical temperature      12
Cubic expansion for a gas      20 117
Cubic expansion, coefficient of      9
Currents      162 etc.
Currents effects on localisation of entropy and energy      173
Curve of saturation      10 141
CYCLE      6
Cycle, Carnot’s      15 51
Cyclic transformation      6
Cyclic transformation, system      188
Davy      13
Degradation of energy      43
Density, maximum      12 24
Descartes      13
Determinants, functional      24
Diagrams, indicator      6
Diagrams, thetaphi      79
Differential coefficient      8
Differential condition for a perfect      108
Differential elements      37
Diffusion of gases      75 125 126
Directed radiation, entropy of      105
Dissipated energy, surface of      178
Duhem      95 193
Duhem theory of false equilibria      193
Dynamical and granular theories      30
Dynamical model of Carnot’s cycle      185
Dynamical system, rational      29
Dynamical unit of heat      14
d’Alembert’s principle      30
e, E      162
Effects, thermoelectric      164
Efficiency of a heat engine      17
Elastic solid      95
Elastic wire      111
Elasticity, modulus of      9 113
Electric convection      174
Electricity, flow along a wire of      73
Electricity, specific heat of      170
Electromotive force      170
Element, differential      37
Element, reversible galvanic      162
Energy      29
Energy in its most general aspect      38
Energy of complex      148
Energy, accelerations      191
Energy, available      35 42 83
Energy, conservation of      31 43
Energy, degradation of      43
Energy, determination of      132
Energy, effects of currents on      173
Energy, Helmholtz’s free      94
Energy, localisation of      31
Energy, mechanical      44
Energy, surface of dissipated      178
Energy, test of stability      80
Energy, unavailable      56 116
Engine, efficiency of a heat      17
entropy      57 69
Entropy and potentials, determination of      132
Entropy of a complex, whole      148
Entropy of a mixture      122
Entropy of black body radiation      103
Entropy of directed radiation      105
Entropy, changes due to heat conduction      69
Entropy, conservation, localisation and transmission      78
Entropy, effects of the currents on localisation of energy and      173
Entropy, first definition      58 64
Entropy, gain of      125
Entropy, second definition      58 66 116
Entropy, temperature diagrams      79
Entropy, thermically heterogeneous system      68
Entropy, whole      68
Equal areas, rule of      141
Equation, fundamental      153 161
Equilibrium, Duhem’s theory of false      193
Equilibrium, phase      12 140 156
Equilibrium, stable      81 84
Equilibrium, temperature of      10
Equilibrium, thermal      49 50
Equivalence of heat and work      13
Equivalent, mechanical      14
Essentially stable states, metastable and      143
Expansion of a gas      20 117
Expansion, coefficient of cubic      9 112
Expansion, latent heat of      9 112
False equilibria, Duhem’s theory of      193
Faraday’s law      167
Ferguson      preface VI
Final temperature      91
First definition of entropy      58 64
First law of thermodynamics      13 107
First scale, Kelvin’s      20
Flow of electricity along a wire      73
Fluid motion brought to rest by viscosity      73
Fluids, stability of homogeneous      84
Force coordinates      30
Force electromotive      170
Formation, heats of      164
Four thermodynamic relations, Maxwell’s      109
FOURIER      13
Freedom, mechanical      5
Freedom, unilateral      82
Friction      72
Function, Carnot’s      19
Functional determinants      24
Fundamental equation      153 161
G(p,T)      147
Galvanic element, reversible      162
Gas battery      166
Gas constant universal      118
Gas cubical expansion of a      117
Gas mixtures      121
Gas potential of      126 160
Gas rushing into a vacuum      73 120 131
Gas temperature      3
Gas thermometer      118 130
Gases, diffusion of      75 125 126
Gases, irreversible effects of mixing      124
Gases, perfect      116
Gay Lussac or Charles’ law      117
Geometrical interpretations      134
Gibbs      89 156 159 163 165 174 175
Gibbs formula for electromotive force      165
Gibbs stability conditions      89
Gibbs theory of chemical systems      151
Gilbault      167
Grain of entropy      125
Gram — Calorie      4
Granular medium      30
Granular theories      30
Great calorie      4
h, H, dh      114
Hamiltonian      29
Heat      see “Latent heat” “Quantity “Specific “Unit etc.
Heating a body      4
Helmholtz      94 164 188
Helmholtz, “Free energy”      94
Heterogeneous systems, chemically      156
Heterogeneous systems, thermically      68
Hirn      14
Hoar-frost line      144
Homogeneous fluids, stability of      84
Homogeneous mixture      152
Homogeneous systems, thermically      49
Hooke      13
Ice line      144
Impact of imperfectly elastic bodies      73
Indicator diagrams      6
Inequalities, Clausius’      59 61
Inner thermodynamic potential      95
Internal heat equilibrium      49
Intrinsic energy      32
Inversion of porous plug effect      131
Irreversibility      40
Irreversible conversion of work into heat      71
Irreversible processes      113
Irreversible radiation phenomena      106
Irreversible transformations      67
Isentropic coefficient of expansion      9
Isothermal transformations      5
j      14
Joule, James Prescott      13 14 117 128 138
K      8
Kamerlingh, Onnes Dr.      139
Kelvin, Lord      15 20 90 128 167 168
Kelvin’s expressions for available energy      90
Kelvin’s first scale      20
Kilogram calorie      4
Kinetic theory of gases      189
L      29
Latent heat of expansion      9 21 108 112
Latent heat of pressure-variation      9 21 108 112
Latent heat of transformation      10 11 147
Latent heat, relation with temperature      150
Leathern      38
Line, steam, ice, hoar-frost      144
Localisation of energy      31
Localisation of energy and entropy, effects of currents on      173
Localisation of entropy      78
Locke      13
Lummer      99
Lussac’s (Gay) law      117
Mariotte      7 116
Massieu, F.      93
Maximum density      12 26
Maxwell — Boltzmann distribution      189
Maxwell’s four thermodynamic relations      109
Mayer, Robert      13
Mechanical energy      44
Mechanical equivalent      14
Mechanical freedom      5
Medium, auxiliary      57
Medium, granular or newtonian      30
Mellor, J.W.      194
Metastable and essentially stable      143
Mixture, gas      121
Mixture, homogeneous      152
Mixture, partial potentials of the constituents of a      150
Mixture, potential of a      126 160
Mixture, whole entropy of      122
Model of Carnot’s cycle, dynamical      185
Model, thermodynamic      174
Modulus of elasticity      9 113
Modulus, Young’s      96
Molecular Volume      118
Monoclinic      146
Monocyclic system      188
Moutier’s rule      146
Moving body, temperature of      55
Mutual potential energy      32
Newtonian or granular medium      30
Non-conservation of heat      14
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