The Analytical Theory of Heat |
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Page viii
... Application of the preceding theorem to the case in which the function Fis et cos x cos y cos z 73 22123 75 78 82 101-105 . equation CHAPTER II . Equation of the Movement of Heat . SECTION I. EQUATION OF THE VARIED MOVEMENT OF HEAT IN A ...
... Application of the preceding theorem to the case in which the function Fis et cos x cos y cos z 73 22123 75 78 82 101-105 . equation CHAPTER II . Equation of the Movement of Heat . SECTION I. EQUATION OF THE VARIED MOVEMENT OF HEAT IN A ...
Page x
... properties . In the most simple case , which is that in which the base is parallel to the tangent plane , the truth of the equation is evident . 115 ART . SECTION VIII . APPLICATION OF THE GENERAL EQUATIONS X TABLE OF CONTENTS .
... properties . In the most simple case , which is that in which the base is parallel to the tangent plane , the truth of the equation is evident . 115 ART . SECTION VIII . APPLICATION OF THE GENERAL EQUATIONS X TABLE OF CONTENTS .
Page xi
Jean-Baptiste-Joseph Fourier Alexander Freeman. ART . SECTION VIII . APPLICATION OF THE GENERAL EQUATIONS . 155 , 156. In applying the general equation ( A ) to the case of the cylinder and of the sphere , we find the same equations as ...
Jean-Baptiste-Joseph Fourier Alexander Freeman. ART . SECTION VIII . APPLICATION OF THE GENERAL EQUATIONS . 155 , 156. In applying the general equation ( A ) to the case of the cylinder and of the sphere , we find the same equations as ...
Page xiii
... Application to the function ex - e - x • 219-221 . Any function whatever ( x ) may be developed under the form a1 sin x + a , sin 2x + α sin 3x + + asin ix + & c . 2 ... The value of the general coefficient a , is Sdx p ( x ) sin ix ...
... Application to the function ex - e - x • 219-221 . Any function whatever ( x ) may be developed under the form a1 sin x + a , sin 2x + α sin 3x + + asin ix + & c . 2 ... The value of the general coefficient a , is Sdx p ( x ) sin ix ...
Page xiv
... Application to other remarkable examples ; curved lines or surfaces which coincide in a part of their course , and differ in all the other parts . 231-233 . Any function whatever , F ( x ) , may be developed in the form a1 cosx + α cos ...
... Application to other remarkable examples ; curved lines or surfaces which coincide in a part of their course , and differ in all the other parts . 231-233 . Any function whatever , F ( x ) , may be developed in the form a1 cosx + α cos ...
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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.