書籍分類
Introduction to Complex Variables and Applications
作者：Mark J. Ablowitz, Athanassios S. Fokas
原價：NT$ 1,550
ISBN：9781108959728
版次：1
年份：2021
出版商：Cambridge University
頁數/規格：420頁/平裝單色
參考網頁：Introduction to Complex Variables and Applications
版次：1
年份：2021
出版商：Cambridge University
頁數/規格：420頁/平裝單色
參考網頁：Introduction to Complex Variables and Applications
內容介紹 目錄 作者介紹
- Description
- Contains numerous examples from a variety of engineering and physical applications
- Includes answers to selected problems
- Results are often motivated heuristically, before being proven rigorously, to increase the student's understanding of the relevant result
The study of complex variables is beautiful from a purely mathematical point of view, and very useful for solving a wide array of problems arising in applications. This introduction to complex variables, suitable as a text for a one-semester course, has been written for undergraduate students in applied mathematics, science, and engineering. Based on the authors' extensive teaching experience, it covers topics of keen interest to these students, including ordinary differential equations, as well as Fourier and Laplace transform methods for solving partial differential equations arising in physical applications. Many worked examples, applications, and exercises are included. With this foundation, students can progress beyond the standard course and explore a range of additional topics, including generalized Cauchy theorem, Painlevé equations, computational methods, and conformal mapping with circular arcs. Advanced topics are labeled with an asterisk and can be included in the syllabus or form the basis for challenging student projects.
