Mean value theorem for integrals

This chapter presents the following content: Mean value theorem for integrals, the first fundamental theorem of calculus, the second fundamental theorem of calculus.

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Lecture Mathematics 53 - Lecture 4.6 introduce the mean value theorem for integrals and the fundamental theorems of calculus. This chapter presents the following content: Mean value theorem for integrals, the first fundamental theorem of calculus, the second fundamental theorem of calculus.

35p allbymyself_06 26-01-2016 38 2   Download

By means of the Hardy-Littlewood method, we apply a new mean value theorem for exponential sums to confirm the truth, over the rational numbers, of the Hasse principle for pairs of diagonal cubic forms in thirteen or more variables. 1. Introduction Early work of Lewis [14] and Birch [3], [4], now almost a half-century old, shows that pairs of quite general homogeneous cubic equations possess non-trivial integral solutions whenever the dimension of the corresponding intersection is suitably large (modern refinements have reduced this permissible affine dimension to 826; see [13]). ...

32p noel_noel 17-01-2013 55 6   Download