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- Thread starter Jianphys17
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In summary, for studying complex analysis, it is recommended to use a book such as "A Friendly Approach to Complex Analysis" by Sasane & Sasane, "Visual Complex Analysis" by Needham, "Fundamentals of Complex Analysis" by Saff & Snider, "Visual Complex Functions" by Wegert, or "A First Course in Complex Analysis" by Zill, rather than Ahlfors or T.W.Gamelin's books. Additionally, Konrad Knopp's book is also recommended.

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My favorites are neither of those. I like the following.Jianphys17 said:

https://www.amazon.com/gp/product/9814578991/?tag=pfamazon01-20

https://www.amazon.com/dp/0198534469/?tag=pfamazon01-20

https://www.amazon.com/dp/0139078746/?tag=pfamazon01-20

https://www.amazon.com/gp/product/3034801793/?tag=pfamazon01-20

https://www.amazon.com/gp/product/0763714372/?tag=pfamazon01-20

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I recommend Konrap Knopp's book.

Complex analysis is a branch of mathematics that studies functions of complex numbers. It is an extension of real analysis, which deals with functions of real numbers, and involves the study of complex-valued functions, limits, derivatives, and integrals.

A typical complex analysis textbook covers topics such as complex numbers, complex functions, analytic functions, Cauchy-Riemann equations, contour integration, series, residues, and conformal mapping.

Complex analysis can be challenging for some students, as it introduces new concepts and techniques that may not have been covered in previous courses. However, with proper understanding and practice, it can be an interesting and rewarding subject to learn.

Complex analysis has many real-world applications, such as in engineering, physics, and economics. It is used to solve problems involving electric circuits, fluid dynamics, signal processing, and financial modeling, among others.

Some popular textbooks for learning complex analysis include "Complex Analysis" by Joseph Bak and Donald Newman, "Complex Variables and Applications" by James Ward Brown and Ruel V. Churchill, and "Visual Complex Analysis" by Tristan Needham.

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