A Treatise on Infinitesimal Calculus: Differential calculus. 1857University Press, 1857 - Calculus |
From inside the book
Page xv
... expressions . 76. Requisite formulæ for a function of two variables SECTION 5. - Successive differentiation of functions of many 123 124 125 independent variables . 78. Explanation of the symbols ..... 128 79. The order of successive ...
... expressions . 76. Requisite formulæ for a function of two variables SECTION 5. - Successive differentiation of functions of many 123 124 125 independent variables . 78. Explanation of the symbols ..... 128 79. The order of successive ...
Page xvi
... expressions . 106. Transformation of expressions involving partial derived- functions into their equivalents in terms of other variables 107 , 108. Examples illustrative of the preceding principles .... CHAPTER IV . 180 182 CERTAIN ...
... expressions . 106. Transformation of expressions involving partial derived- functions into their equivalents in terms of other variables 107 , 108. Examples illustrative of the preceding principles .... CHAPTER IV . 180 182 CERTAIN ...
Page xix
... EXPRESSIONS . 170. Object of the Chapter is the discussion of an algebraical expression in its synthetical form .... 279 171 , 172. The continuity of algebraical expressions 173. Proof that every equation has a root .. ... 174. If a is ...
... EXPRESSIONS . 170. Object of the Chapter is the discussion of an algebraical expression in its synthetical form .... 279 171 , 172. The continuity of algebraical expressions 173. Proof that every equation has a root .. ... 174. If a is ...
Page 10
... expression such as ay2 + bxy + cx2 + dy + ex + f ; because each symbol by itself expressing a number , each 10 [ 3 . ON THE ABSTRACT CHARACTER OF NUMBER . Examples on the above theorems.
... expression such as ay2 + bxy + cx2 + dy + ex + f ; because each symbol by itself expressing a number , each 10 [ 3 . ON THE ABSTRACT CHARACTER OF NUMBER . Examples on the above theorems.
Page 11
Bartholomew Price. because each symbol by itself expressing a number , each term , whether consisting of one or two or three factors , is a number also : and thus they may be added , and the whole expression is homogeneous and correct ...
Bartholomew Price. because each symbol by itself expressing a number , each term , whether consisting of one or two or three factors , is a number also : and thus they may be added , and the whole expression is homogeneous and correct ...
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Common terms and phrases
a₁ algebraical angles b₁ becomes Calculus change of sign changes sign circle coefficients constant cosec curve d2F d2F d²u d²x d²y d³u d³y derived function determine differential equation dr dr dr dy dx dx dx dy dx² dy dx dy dy dy dz dy² dz dx equal equicrescent explicit function expression F(xo F(xo+h factor finite quantity fraction func given Hence homogeneous function increases increments indeterminate form infinite infinitesimal Infinitesimal Calculus infinity involved logarithms loge Maclaurin's maxima and minima maximum or minimum minimum value negative partial derived-functions positive primitive equation radius replaced result right-hand member roots Similarly sin x singular value Sturm's Theorem substituting suppose symbols Theorem tion vanish variables variation versin whence zero