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Cookie akzeptierenBourama Toni / Anthony A. Ruffa
Innovative Integrals and Their Applications I
- Springer International Publishing
- 2022
- Gebunden
- 332 Seiten
- ISBN 9783031178702
This book develops integral identities, mostly involving multidimensional functions and infinite limits of integration, whose evaluations are intractable by common means. It exposes a methodology based on the multivariate power substitution and its variants, assisted by the software tool Mathematica. The approaches introduced comprise the generalized method of exhaustion, the multivariate power substitution and its variants, and the use of permutation symmetry to evaluate definite integrals, which are very important both in their own right, and as necessary intermediate steps towards more involved computation. A key tenet is that such approaches work best when applied to integrals having certain characteristics as a starting point. Most integrals,
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