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Owen D. — A First Course in the Mathematical Foundations of Thermodynamics (Undergraduate Texts in Mathematics)
Owen D. — A First Course in the Mathematical Foundations of Thermodynamics (Undergraduate Texts in Mathematics)

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Название: A First Course in the Mathematical Foundations of Thermodynamics (Undergraduate Texts in Mathematics)

Автор: Owen D.

Аннотация:

Research in the past thirty years on the foundations of thermodynamics has led not only to a better understanding of the early developments of the subject but also to formulations of the First and Second Laws that permit both a rigorous analysis of the consequences of these laws and a substantial broadening of the class of systems to which the laws can fruitfully be applied.
Read more at http://ebookee.org/A-First-Course-in-the-Mathematical-Foundations-of-Thermodynamics-Undergraduate-Texts-in-Mathematics-by-David-R-Owen-Repost-_1112683.html#7lxFFBXV1u1DTQEO.99


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1984

Количество страниц: 77

Добавлена в каталог: 19.04.2014

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Accumulation function      52 54—57 61 83 111 112 128
Accumulation Inequality      58 59 61—65 67 68 79 83
Accumulation integral      112 119
Accumulation Theorem      62 74
action      33 35 68 69 73 75 77 79 80 82 84 86 87 89 93 94 98 104 109 111 127—129
Adiabat      6—8 16 24 48 50 125 126
Anomalous behavior of water      23
Caloric      36
Caloric theory of heat      12 14 15 20 35 36
Calorimetry      122
Caratheodory      43
Caratheodory's theory of thermodynamics      21
Carnot      11 12 14 36 42 53 64
Carnot — Clapeyron relation      20 22
Carnot, heat engine      9 13 14 16 18 19 22 24 25 39 47 48 50
Carnot, ontrivial      14
Carnot, refrigerator      9 39 48 50 128
Clausius      12 14 43
Clausius inequality      56
Clausius property      68—77 80 83 84 128 129
Clausius — Planck Inequality      75
Coleman      69
Compressive force      85
Conservation property      80—82 87 128
Constitutive equations      121
Constitutive equations, thermodynamical restrictions on      121
Control      33
Convex combination      75
Convex set      84 100
Curve, oriented      3
CYCLE      8 10 14 20 21 24 26 32 36 39 40 49—51 55 56 58—60 63 65 67—69 74 79 80 83 86 98 105 116 118 126 128
Cycle, approximate      69
Cycle, Carnot      8 9 25 36 47 51 66
Cycle, interior of      8
Cycle, Isothermal      83 105
Cycle, negatively oriented      8
Cycle, positively oriented      8
Cycle, reversal of      63
Cycle, Sargent      126 128
Cycle, simple      8 9
Cycle, standard parameterization      24
Deformation, residual      95 101
density      23
Dissipation property      83 84 86 89 90 98 128
Dissipative      120
Efficiency      26 130
Efficiency, estimate      24 42
Efficiency, Kelvin's formula for      18 24
Elastic filament      90
Elastic modulus      95
Elastic segment      97 98
Elastic system      97 99
Empirical temperature scale      44—46 52 63 128
Energy      122
Energy, conservation of      13
Energy, function      12 67 68 82 113 115 118
Energy, potential      87
Energy, stored      87
Enthalpy      106
entropy      24 56 121 122
Entropy function      23 67 68 74 75 79 118 119 126
Environment      33 35
Equation of state      10 87 89
Equilibrium response function      93
Extra force      117 120
Filament      85 96 104
Filament, approximating elastic      106—108
Filament, elastic      86—90 95 96 101 104—106
Filament, elastic-perfectly plastic      95 130
Filament, elastic-plastic      98 99
Filament, external force on      85
Filament, force on      87 89
Filament, homogeneous      85 104
Filament, length of      85—88 91 104
Filament, viscous      90 94—96 106—109 118
Filament, work done on      87 97
First law      10 13—15 18 20—23 25 35 36 38 39 42 52 58 65 67 80 82 85 105 106 113—117 120 122 126 127
First law of thermodynamics      11
First Law, preservation of      38—40
force      85 89 95 96 98 104
Force, compressive      85
Force, equilibrium      95
Force, external      85 87
Force, extra      95
Force, tensile      85
Force, yield      95
Heat      14 42
Heat, absorbed      5 17 18 22 33 43 65 104 120
Heat, capacity      2
Heat, emitted      5 18 33 43 65 104
Heat, engine, Carnot      9 13 14 16 18 19 22 24 25 39 47 48 50 126
Heat, engine, efficiency of      120
Heat, gained      3 11 13 33 35 80 104—106
Heat, gained at or below a hotness level      52
Heat, gained at or below a temperature      52
Heat, gained, net      2 4 5 18 24 46 47 53 112 113 117 118 120
Heat, mechanical equivalence of      122
Heat, net gained      36 40
Heat, rate of gain of      5 41
Heating      5 10 11 20 22 25 42 62 125
Heating measure      122
Helmholtz free energy function      84 86 87 91—94 99 101 102 104 118 130
Homogeneous fluid bodies      35 42 109
Homogeneous fluid bodies with viscosity      109
Homogeneous fluid body      2 3 5 9—14 16—18 20—23 25 30 33 36 38 53 65—67 75 79 80 84 85 105 111—114 117—120 125—128
Homogeneous fluid body, approximating      117 120
Homogeneous fluid body, latent heat function of      2
Homogeneous fluid body, pressure function of      2
Homogeneous fluid body, state of      2
Homogeneous fluid body, state space of      2
Hotness      42 43 54
Hotness, level      43—46 52 53 57—59 111 112 118
Hotness, level, ordering of      44
Hotness, manifold      44 45 52
Ideal gas      10 12 16 39—41 43 45 46 53 54 57—59 64 65 74 79 82 110 113 118 125 126
Integral, accumulation      75 79 80
Integral, line      4 9 71 80 82 98
Integral, Riemann      61
Internal energy      24 121
Internal energy, function      13 23 106 107 126
Isobar      22 23 126
Isotherm      7—9 18
Isothermal path      84
Joule      12
Joule's constant      105
Joule's relation      38—41 58 67 68 80 83 86 116 122
Kelvin      43 55
Kelvin's formula for efficiency      126
Latent heat      2 20 105 107 108
Latent heat with respect to pressure      125
Latent heat, function      109 119
Length, residual      95 100
Line integral      4 34 35 46 63
Lower potential      84 128
Materials with fading memory      122
Materials with memory      121
Mathematical systems theory      122
Mechanical equivalent of heat      12
Mechanics      121
Melting      107
Order relation      44
Path      3 4 8 13 14 23 24 28 33 46 60 63 77 95 97
Path, adiabatic      6—9 24 43
Path, Carnot      8 25 26 50 66
Path, closed      61
Path, equilibrium      111
Path, isothermal      7 8 17 24
Path, reversal of      15 69 77
Path, simple      7
Path, standard parameterization of      3—6 20 46 47 62
Phase      104—106
Phase, change of      104 105 107 108
Phase, transition      104 106 117
Planck      43 55
Plastic segment      97 98 101
Plastic system      97 99
Potential      23 82 93 94 129
Pressure      2 22 23
Pressure, function      109 127
Process      28—30 32 35 37 53 68 74 77 78 86 88 94 95 97—101 104 106 107 111 112 115 117 120 127 128
Process, cyclic      36 43 68
Process, generator      28 29 31 32 37 69—74 76 78 79 82 83 86 90 92 94 96 103 109—111 113
Process, generator, successive application      88 89
Process, isothermal      84—86
Process, retarded      91
Process, reversal of      79
Product of systems      36 57
Product operation      38 40 113 118
Product system      36—39
Rate of expansion      110 117
Rate-dependent      112
Rate-independent      2 112
Refrigerator, Carnot      9 39 48 50 128
Restorability      79
Retardation      106 107 112 113
Reversal      97
Reverse triangle inequality      81
Reversibility      77—79
Second law      10 13—18 20—25 35 36 38 42 52 55—57 59 61—63 67 68 74 80 85—87 89 90 94 95 98 105 117—120 122 126 128
Second law of thermodynamics      11 12
Second Law, preservation of      58
Second Law, verbal forms of the      43
Semi-system      129
Serrin      43 53 55 65
Silhavy      43
Specific heat at constant pressure      125
Specific heat, constant      125 126
Specific heat, function      109 119
Specific heats, difference in      125
Specific heats, ratio of      125
State      7 9 12 14 15 23 24 28—30 32 43 67 69—72 76—78 80 81 84—87 89 90 91 94—96 99—101 111 113 115 119 122 126 128 129
State, final      28 30
State, initial      28 29 33
State, space      28—30 45 67 85 86 95 109 114 118 119 130
State, standard      23 99
State, transformation function      88
States      109
States, accessible from a state      29
Step function      49 50
Successive application      33
Supply      33
system      32 33 35 43 53 68 79 80 85 86 95 97 109 116
System with perfect accessibility      28—30 32 33 35 37 53 57 68 69 75 77 80 83 86 88 89 97 109—112 127—129
System, coupled      15
System, isolated      75
System, product      36—39
System, thermodynamical      35—38 40 41 52 53 56—58 62 64 65 67—69 74 75 77 80 82—84
System, thermometric      43
Temperature      2 3 9 14—16 18 20 22 24—26 37 42—44 54 65 66 80 110 125—127
Temperature, absolute      121 122
Temperature, Celsius scale      2
Temperature, Kelvin scale      2
Temperature, scale      59 62—65
Temperature, scale, absolute      18 43 64 65
Temperature, scale, empirical      44—46 52 63
Tensile force      85
Thermodynamical system      35—38 40 41 52 53 56—59 62 64 65 79 111 112 118 122
Thermodynamical systems, union of      122
Thermomechanics      122
Thermometer      18 44 45
Thermometer, gas      46
Thermometry      46 122
Transformation      29
Triangle inequality      72
Universal constant      36
Universal factor      41
Universal function      16 17
Upper potential      73—76 78 83 84 128 129
van der Waals fluid      126
Vector field, conservative      80
Viscous body      110—115 117—120
Volume      2 3 5 22 46 110
Water, anomalous behavior of      3
Work      2—4 11 13—15 18 22 24 33 35 36 57 83 84 86 95 98 99 111 112 117 120 127
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