cover image: Six Lectures on the Mean Value Theorem of Differential Calculus

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20.500.12592/779v79

Six Lectures on the Mean Value Theorem of Differential Calculus

1933

SIX LECTURES ON THE MEAN-VALUE THEOREM OF THE DIFFERENTIAL CALCULUSSIX LECTURES ON THE MEAN-VALUE THEOREM OF THE DIFFERENTIAL CALCULUS dclivcrcd at the Calcutta Uniucrsijy. [...] The second Appendix deals with the h'story of the various forms of the remainder in Taylor's series. [...] the teorema del Rolle. ' In 1868 the theorem is given in the German edition of Serret's Algebre Superieure under the name of Rollescher Satz. ' Since then the theorem came to be generally ascribed to Rolle and to be called by his name. " During the second half of the nineteenth century we see the strange spectacle of Rolle's theirern. [...] (a) In 1880, Whitcoml published his investigation of the expansion of 0 in powers of h. postulating implicitly not only the expansibility of + h) in Taylor's series in powers of h but also the expansibility of 0. h) in powers of h. He gave the general systenl of n simultaneous equations for finding the n coefficients Al. [...] the sum of the first is litz„)- r. r0). -and the sum of the second is the peoluotof the sunk of the first factors.
technology medicine science
Pages
117
Published in
India
SARF Document ID
sarf.100014
Segment Pages Author Actions
Preface
i-x Ganesh Prasad view
First Lecture
1-12 unknown view
Second Lecture
13-32 unknown view
Third Lecture
33-47 unknown view
Fourth Lecture
48-64 unknown view
Fifth Lecture
65-81 unknown view
Sixth Lecture
82-92 unknown view
Appendix A
93-97 unknown view
Appendix B
98-105 unknown view
Appendix C
106-107 unknown view

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