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Titlebook: Complements of Higher Mathematics; Marin Marin,Andreas Öchsner Book 2018 Springer International Publishing AG, part of Springer Nature 201

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书目名称Complements of Higher Mathematics
编辑Marin Marin,Andreas Öchsner
视频video
概述Provides students and researchers with essential help on key mathematical topics, which are applied to many different practical problems.Presents essential topics especially for technology, engineerin
图书封面Titlebook: Complements of Higher Mathematics;  Marin Marin,Andreas Öchsner Book 2018 Springer International Publishing AG, part of Springer Nature 201
描述.This book highlights the remarkable importance of special functions, operational calculus, and variational methods. A considerable portion of the book is dedicated to second-order partial differential equations, as they offer mathematical models of various phenomena in physics and engineering. .The book provides students and researchers with essential help on key mathematical topics, which are applied to a range of practical problems. These topics were chosen because, after teaching university courses for many years, the authors have found them to be essential, especially in the contexts of technology, engineering and economics. Given the diversity topics included in the book, the presentation of each is limited to the basic notions and results of the respective mathematical domain. Chapter 1 is devoted to complex functions. Here, much emphasis is placed on the theory of holomorphic functions, which facilitate the understanding of the role that the theory of functions ofa complex variable plays in mathematical physics, especially in the modeling of plane problems. . .In addition, the book demonstrates the importance of the theories of special functions, operational calculus, and v
出版日期Book 2018
关键词Special Functions; Complex Functions; Operational Calculus; Laplace’s Transform; Partial differential Eq
版次1
doihttps://doi.org/10.1007/978-3-319-74684-5
isbn_softcover978-3-319-89281-8
isbn_ebook978-3-319-74684-5
copyrightSpringer International Publishing AG, part of Springer Nature 2018
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Operational Calculus,e. For instance, a differential equation in the first functions set is transformed in an algebrical equation in the second functions set. This correspondence is made by means of a transformation. We will deal only with the Laplace’s transform and Fourier’s transform.
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M. Sulprizio,R. Löw,B. Schulte-Frei,L. Jägerhis paragraph. The Laplace’s transform makes the correspondence between two functions set, one having difficult operations, and second, more accessible. For instance, a differential equation in the first functions set is transformed in an algebrical equation in the second functions set. This corresp
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https://doi.org/10.1007/978-3-662-67952-4r. Since we consider these notions and results being subordinate to the main objectives of this chapter, we shall renounce to prove the results. Our readers are invited, for more details, to consult the titles cited in the bibliography dedicated to functional analysis and convex analysis.
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