Differential Calculus: With Applications and Numerous Examples; an Elementary TreatiseMacmillan, 1886 - 439 páginas |
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Página x
... Theorem and Special Cases of Taylor's Theorem , Geometrical Illustration of Lagrange - Formula , 126-128 Failure of Taylor's and Maclaurin's Theorems , Examples of Application of Lagrange - Formula , Bernoulli's Numbers , 109-110 • 110 ...
... Theorem and Special Cases of Taylor's Theorem , Geometrical Illustration of Lagrange - Formula , 126-128 Failure of Taylor's and Maclaurin's Theorems , Examples of Application of Lagrange - Formula , Bernoulli's Numbers , 109-110 • 110 ...
Página xi
... Theorem , 141 141-143 156-160 Extensions of Taylor's and Maclaurin's Theorems , 161-168 Homogeneous Functions . Euler's Theorems , 143-145 145-152 APPLICATIONS TO PLANE CURVES . CHAPTER VII . TANGENTS AND NORMALS . 169-171 Equation of ...
... Theorem , 141 141-143 156-160 Extensions of Taylor's and Maclaurin's Theorems , 161-168 Homogeneous Functions . Euler's Theorems , 143-145 145-152 APPLICATIONS TO PLANE CURVES . CHAPTER VII . TANGENTS AND NORMALS . 169-171 Equation of ...
Página xii
... Theorem , . 223-225 Other Definitions of Asymptotes , 226-229 Curve in general on opposite sides of the Asymptote 230 at opposite extremities . Exceptions , Curvilinear Asymptotes , 231-233 Linear Asymptote obtained by Expansion , 234 ...
... Theorem , . 223-225 Other Definitions of Asymptotes , 226-229 Curve in general on opposite sides of the Asymptote 230 at opposite extremities . Exceptions , Curvilinear Asymptotes , 231-233 Linear Asymptote obtained by Expansion , 234 ...
Página 12
... Theorem to expand ( 1+ ) " , whatever n may be . Hence Ltx = 1 x " - 1 X- 1 ( 1 + ) " - 1 = Ltz = 0 Z nz + = Ltz = 0 = n ( n − 1 ) 2 2 + . 2 ! 2 n ( n − 1 ) n + 2 ! + ... } = Ltz = 0 { n = n . 21. III . Ltx = x ( 1 + 1 ) 2 = x = e , where ...
... Theorem to expand ( 1+ ) " , whatever n may be . Hence Ltx = 1 x " - 1 X- 1 ( 1 + ) " - 1 = Ltz = 0 Z nz + = Ltz = 0 = n ( n − 1 ) 2 2 + . 2 ! 2 n ( n − 1 ) n + 2 ! + ... } = Ltz = 0 { n = n . 21. III . Ltx = x ( 1 + 1 ) 2 = x = e , where ...
Página 13
... Theorem to the expansion of ( 1 + 1 ) * ~ . We thus obtain ( 1 + 1 ) * - = - 1 . · 1 + x = + 1 x ( x - 1 ) 1 1.2 x x2 + x ( x - 1 ) ( x - 2 ) 1 1.2.3 ips + ... 1 1 x = 1 + 1 + -1 ) ( 1-2 ) + 2 ! 3 ! + .. 1 1 = 1 + 1 + + + 2 !
... Theorem to the expansion of ( 1 + 1 ) * ~ . We thus obtain ( 1 + 1 ) * - = - 1 . · 1 + x = + 1 x ( x - 1 ) 1 1.2 x x2 + x ( x - 1 ) ( x - 2 ) 1 1.2.3 ips + ... 1 1 x = 1 + 1 + -1 ) ( 1-2 ) + 2 ! 3 ! + .. 1 1 = 1 + 1 + + + 2 !
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Differential Calculus With Applications and Numerous Examples: An Elementary ... Joseph Edwards Sin vista previa disponible - 2006 |
Términos y frases comunes
ALGEBRA angle Assistant-Master asymptote axis Cambridge cardioide centre chord circle co-ordinates coincident points conic Crown 8vo cusp cuts the curve cycloid denote differential coefficient dx dx dx dy dy dx ELEMENTARY ellipse envelope EXAMPLES Extra fcap fcap Fellow of Trinity Find function Globe 8vo Hence independent variable infinite intersection intrinsic equation inverse John's College late Fellow limit LL.D locus MACMILLAN'S EDUCATIONAL CATALOGUE maxima and minima minimum value negative normal ordinate origin Owens College p(x+h parabola parallel pedal equation perpendicular point of contact point of inflexion polar positive pedal PRIMER Professor prove quantity radius of curvature revised School Show straight line tangent Taylor's Theorem Trace the curve Trinity College ultimately coincident vanish whence zero ди ди ду дх
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