Complements of higher mathematics 1st ed.

Author

• Marin, Marin

Additional Author(s)

• Öchsner, Andreas

Publisher

Cham, Switzerland : Springer International Publishing, 2018

Language

English

ISBN

9783319746845

Series

Subject(s)

• CALCULUS, OPERATIONAL
• FUNCTIONS, SPECIAL
• MATHEMATICAL PHYSICS

Notes

. .

Abstract

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.

Physical Dimension

Number of Page(s)

1 online resource (viii, 353 p.)

Dimension

-

Other Desc.

-

Summary / Review / Table of Content

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.

Exemplar(s)

#	Accession No.	Call Number	Location	Status
1.	01554/20	515.9 Mar C	Online !	Available