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Complex Analysis


Complex analysis is the branch of mathematical analysis that studies the theory of functions of a complex variable.


It deals investigates functions of complex numbers together with their derivatives, manipulation, and other properties. It is helpful in many branches of mathematics, including algebraic geometry, number theory, analytic combinatorics, applied mathematics. It is also helpful in many branches of physics, including hydrodynamics, thermodynamics, and particularly quantum mechanics. It is also use in engineering fields such as nuclear, aerospace, mechanical and electrical engineering.

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Free Complex Analysis Books
Complex Variables - Robert B. Ash, W. P. Novinger
This text is a clear and rigorous introduction to "complex analysis". It covers analytic functions, integration, and key theorems with examples and exercises, helping students understand theory and applications through "Cauchy’s theorem" and "residue theory".

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