A Treatise on Infinitesimal Calculus: Differential calculus. 1857University Press, 1857 - Calculus |
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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
according algebraical angles applicable assume axis becomes Calculus called changes sign Chapter circle coefficients consider constant continuous corresponding curve derived derived-functions determine differential dimensions direction divided drawn dx dy dy dx elimination equal equation examples expression factors finite function geometrical given gives greater Hence homogeneous function increases independent infinite infinitesimal infinity involved less limit maxima maximum means method minima minimum value negative observed origin partial particular pass plane positive powers preceding properties quantity relation replaced represent respectively result roots sides similar Similarly singular value straight line substituted successive suppose symbols tangent Theorem tion true values vanish variables variation vary whence zero