Innovative Integrals and Their Applications I / STEAM-H: Science, Technology, Engineering, Agriculture, Mathematics & Health (PDF)
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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 focus on tools such as Mathematica as a means of obtaining useful results, and also checking whether they are already known. Results presented involve the gamma function, the hypergeometric functions, the complementary error function, the exponential integral function, the Riemann zeta function, and others that will be introduced as they arise. The book concludes with selected engineering applications, e.g., involving wave propagation, antenna theory, non-Gaussian and weighted Gaussian distributions, and other areas.
The intended audience comprises junior and senior sciences majors planning to continue in the pure and applied sciences at the graduate level, graduate students in mathematics and the sciences, and junior and established researchers in mathematical physics, engineering, and mathematics. Indeed, the pedagogical inclination of the exposition will have students work out, understand, and efficiently use multidimensional integrals from first principles.
Bourama Toni is a Full Professor of Mathematics and Chair of the Department of Mathematics at Howard University, Washington, DC, USA; and Founder and Editor of the Springer-published STEAM-H series, with truly an interdisciplinary profile. Dr. Toni's research interests are primarily in Differential and Nonlinear Analysis and related topics to include Dynamical Systems, Non-Archimedean Analysis, Game Theory, Feedback Loops Analysis, and their applications to biosciences, behavioral sciences and naval engineering, with an excellent track-record of quality published research papers including contributed volumes with Springer.
- Autoren: Anthony A. Ruffa , Bourama Toni
- 2022, 1st ed. 2022, 319 Seiten, Englisch
- Verlag: Springer International Publishing
- ISBN-10: 3031178718
- ISBN-13: 9783031178719
- Erscheinungsdatum: 14.11.2022
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- Grösse: 3.15 MB
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