The Analytical Theory of Heat |
From inside the book
Results 1-5 of 73
Page xv
... temperature of each mass ; it is given as a function of the time elapsed , of the coefficient which measures the conducibility , and of all the initial temperatures regarded as arbitrary 256 , 257. Remarkable consequences of this ...
... temperature of each mass ; it is given as a function of the time elapsed , of the coefficient which measures the conducibility , and of all the initial temperatures regarded as arbitrary 256 , 257. Remarkable consequences of this ...
Page xix
... temperatures . • • 348. Application to the case in which all the points of the part heated have received the same initial temperature . The integral PAGE 333 dq q sin q cos qx is π , if we give to x a value included between 1 and -1 ...
... temperatures . • • 348. Application to the case in which all the points of the part heated have received the same initial temperature . The integral PAGE 333 dq q sin q cos qx is π , if we give to x a value included between 1 and -1 ...
Page xx
... initial temperature , begins to be distributed throughout the whole mass ; and after a certain interval of time , the state of any part of the solid depends not upon the distribution of the initial heat , but simply upon its quantity ...
... initial temperature , begins to be distributed throughout the whole mass ; and after a certain interval of time , the state of any part of the solid depends not upon the distribution of the initial heat , but simply upon its quantity ...
Page xxi
... initial temperature . 388-391 . Solution of a problem analogous to the foregoing . Different results of the solution · 392-395 . The movement of heat in an infinite solid is considered ; and the highest temperatures , at parts very ...
... initial temperature . 388-391 . Solution of a problem analogous to the foregoing . Different results of the solution · 392-395 . The movement of heat in an infinite solid is considered ; and the highest temperatures , at parts very ...
Page 12
... temperature at any point of a prism whose terminal temperatures are functions of the time , the initial temperature at any point being a function of its distance from one end . II . Examines the chief consequences of the general ...
... temperature at any point of a prism whose terminal temperatures are functions of the time , the initial temperature at any point being a function of its distance from one end . II . Examines the chief consequences of the general ...
Contents
1 | |
8 | |
11 | |
13 | |
22 | |
25 | |
31 | |
45 | |
242 | |
258 | |
268 | |
271 | |
274 | |
278 | |
289 | |
291 | |
56 | |
62 | |
74 | |
91 | |
95 | |
98 | |
104 | |
115 | |
126 | |
143 | |
200 | |
213 | |
225 | |
231 | |
299 | |
300 | |
301 | |
311 | |
315 | |
323 | |
329 | |
333 | |
334 | |
344 | |
357 | |
419 | |
450 | |
470 | |
Other editions - View all
Common terms and phrases
2kt versin a₁ abscissa action actual temperature analysis arbitrary function axis b₁ b₂ body chaleur co-ordinates coefficient conducibility consider constant temperature convergent series cooling corresponding cosines curve d'v d'v d²v definite integrals denoting determine different points differential equations distance dv dv dv dx dx² enclosure equation dv expressed fixed temperature function f(x give given heat equal heat which escapes heat which flows Hence hypothesis infinitely small initial temperatures instant dt integral interior layers maintained mass mathematical analysis molecules movement of heat multiply ordinates parallel partial differential equations perature permanent temperature perpendicular plane prism problem propagation of heat quantity of heat radius ratio rays represented result satisfies second member sin x sines source of heat sphere substitute suppose theorems theory of heat thermometer unit of surface unknown variable vary
Popular passages
Page 470 - Bible, an edition such as, to use the words of the Editor, 'would have been executed long ago had this version been nothing more than the greatest and best known of English classics.' Falling at a time when the formal revision of this version, has been undertaken by a distinguished company of scholars and divines, the publication of this edition must be considered most opportune.