Complements Of Higher Mathematics
by Andreas Öchsner /
2018 / English / PDF
8.7 MB Download
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.
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.
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.
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.
