複變函數論
Complex Analysis
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5 13:20–14:10 | 複變函數論 SA311（光復） | 複變函數論 SA311（光復） 2 節連堂 |
6 14:20–15:10 |
* 根據陽明交大上課時間表所列
This course will offer a comprehensive introduction to complex variable theory and its applications to engineering and science. We will make frequent use of analogies from calculus or advanced calculus to introduce complex concepts, including fully worked examples, and provide a dual heuristic/analytic discussion of all topics. Topics include: Complex Numbers and Elementary Functions, Analytic Functions, Complex Integration, Series Representations for Analytic Functions, Residue Theory, Conformal Mapping, The Transforms of Applied Mathematics.
calculus, advanced calculus
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Quiz I : 60 points Midterm Exam : 120 points Quiz II : 60 points Final Exam : 120 points
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1. Fundamentals of Complex Analysis: Engineering, Science, and Mathematics by Edward B.Saff and Arthur David Snider , Third Edition(required) 2. Complex Analysis by Ian Stewart and David Tall, Second Edition (optional) 3. Complex Analysis by Elias M.Stein and Rami Shakarchi, Princeton University Press 2003 (optional) 4. Principles of Mathematical Analysis by Walter Rudin(optional)
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