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Math is not just about smart. It's also about sweat.
This is a solution manual of selected exercise problems for the textbook Concise Complex Analysis (revised edition), by Sheng Gong and Youhong Gong.
I studied the Chinese version of this textbook back in college, along with the more famous classic, Complex Analysis: An Introduction to the Theory of Analytic Functions of One Complex Variable, by Lars V. Alhfors.
I like Gong's book better, not only because it's more concise but also because it has a nice presentation of Weierstrass Factorization Theorem and Mittag-Leffler Theorem. What were clever tricks in Euler's Introduction to the Analysis of the Infinite now have a unified and much simpler treatment.
If you really enjoy "insights through calculations", I encourage you to try the many exercise problems in the book. It could be a wonderful time killer for a hot and boring summer.
1 Calculus
2 Cauchy Integral Theorem and Cauchy Integral Formula
3 Theory of Series of Weierstrass
4 Riemann Mapping Theorem
5 Differential Geometry and Picard’s Theorem
6 A First Taste of Function Theory of Several Complex Variables
7 Elliptic Functions
8 The Riemann Zeta Function and The Prime Number Theory