On the Use of Differences in the Theory of Series

Euler

Chapter 2 in Foundations of Differential Calculus, 2000, pp 25-45 from Springer

Abstract: Abstract It is well known that the nature of series can be very well illustrated from first principles through differences. Indeed, arithmetic progressions, which are ordinarily considered first, have this particular property, that their first differences are equal to each other. From this it follows that their second differences and all higher differences will vanish.

Date: 2000
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DOI: 10.1007/0-387-22645-1_2

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