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Erschienen in:
2025 | OriginalPaper | Buchkapitel
5. Singularities of Complex Functions, Complex series, Taylor and Laurent Series Expansions of Complex Functions, and Residue of Complex Functions: Problems
verfasst von : Mehdi Rahmani-Andebili
Erschienen in: Mathematics of Engineering and Science
Verlag: Springer Nature Switzerland
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Abstract
In this chapter, the basic and advanced problems concerned with the singularities of complex functions including poles, removable singularity, and essential singularity; complex series; Taylor and Laurent series expansions of complex functions; and residue of complex functions are presented and studied. Herein, different types of problems and exercises are presented that are categorized as follows:
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Problems with detailed solution: They have been designed to teach students the subjects in detail. Moreover, they have been categorized into different levels based on their difficulty levels (easy, normal, and hard) and calculation amounts (small, normal, and large).
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Partially solved exercises: They have been designed to encourage students to practice more problems while guiding them through the problem-solving procedure and hinting the required formulas.
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Exercises with final answer: They have been designed to encourage students to practice by themselves while hinting them by the final answer as well as to help instructors to give tests or quizzes.
