| 書(shū)目名稱(chēng) | Innovative Integrals and Their Applications I | | 編輯 | Anthony A. Ruffa,Bourama Toni | | 視頻video | http://file.papertrans.cn/468/467392/467392.mp4 | | 概述 | Features state-of-the-art developments of new integral identities and their relation with special functions.Explores expert techniques of the use of Mathematica to develop unknown formulas in practica | | 叢書(shū)名稱(chēng) | STEAM-H: Science, Technology, Engineering, Agriculture, Mathematics & Health | | 圖書(shū)封面 |  | | 描述 | .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, if used as a starting point, will lead to no result at all, or will lead to a known result. However, there is a special class of integrals (i.e., innovative integrals) which, if used as a starting point for such approaches, willlead to new and useful results, and can also enable the reader to generate many other new results that are not in the book..The reader will find a myriad of novel approaches for evaluating integrals, with a focu | | 出版日期 | Book 2022 | | 關(guān)鍵詞 | calculus; method of exhaustion; power substitution; Gaussian densities; Non-Gaussian distributions; Riema | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-031-17871-9 | | isbn_softcover | 978-3-031-17873-3 | | isbn_ebook | 978-3-031-17871-9Series ISSN 2520-193X Series E-ISSN 2520-1948 | | issn_series | 2520-193X | | copyright | This is a U.S. government work and not under copyright protection in the U.S.; foreign copyright pro |
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