Complements of Higher Mathematics [electronic resource] / by Marin Marin, Andreas Öchsner.

Por: Marin, Marin [author.]Colaborador(es): Öchsner, Andreas [author.] | SpringerLink (Online service)Tipo de material: TextoTextoEditor: Cham : Springer International Publishing : Imprint: Springer, 2018Edición: 1st ed. 2018Descripción: VIII, 353 p. online resourceTipo de contenido: text Tipo de medio: computer Tipo de portador: online resourceISBN: 9783319746845Tema(s): Engineering mathematics | Calculus of variations | Mathematical physics | Engineering Mathematics | Calculus of Variations and Optimal Control; Optimization | Mathematical Applications in the Physical SciencesFormatos físicos adicionales: Printed edition:: Sin título; Printed edition:: Sin título; Printed edition:: Sin títuloClasificación CDD: 620.00151 Clasificación LoC:TA329-348Recursos en línea: Libro electrónicoTexto
Contenidos:
Complex Functions -- Special Functions -- Operational Calculus -- Fourier's Transform -- Calculus of Variations -- Quasi-linear Equations -- Hyperbolical Equations -- Parabolic Equations -- Elliptic Partial Differential Equations -- Optimal Control.
En: Springer Nature eBookResumen: 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 of a 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 variational calculus. In the last chapter, the authors discuss the basic elements of one of the most modern areas of mathematics, namely the theory of optimal control.
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Complex Functions -- Special Functions -- Operational Calculus -- Fourier's Transform -- Calculus of Variations -- Quasi-linear Equations -- Hyperbolical Equations -- Parabolic Equations -- Elliptic Partial Differential Equations -- Optimal Control.

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 of a 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 variational calculus. In the last chapter, the authors discuss the basic elements of one of the most modern areas of mathematics, namely the theory of optimal control.

UABC ; Temporal ; 01/01/2021-12/31/2023.

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