A First Course in Complex Analysis pdf written by Matthias Beck, Gerald Marchesi, Dennis Pixton and Lucas Sabalka

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A First Course in Complex Analysis pdf Version-1.53; Pages 161 written by Matthias Beck, Gerald Marchesi, Dennis Pixton and Lucas Sabalka
. This is an other great mathematics book cover the following topics of complex number.

Integration Definition and Basic Properties; Antiderivatives; Cauchy’s Theorem; Cauchy’s Integral Formula; Exercises

Consequences of Cauchy’s Theorem Variations of a Theme; Antiderivatives Again; Taking Cauchy’s Formulas to the Limit; Exercises

Harmonic Functions Definition and Basic Properties; Mean-Value and Maximum/Minimum Principle; Exercises)

Power Series Sequences and Completeness; Series; Sequences and Series of Functions; Regions of Convergence; Exercises

Taylor and Laurent Series Power Series and Holomorphic Functions; Classification of Zeros and the Identity Principle; Laurent Series; Exercises

Isolated Singularities and the Residue Theorem Classification of Singularities; Residues; Argument Principle and Rouché’s Theorem; Exercises

Discrete Applications of the Residue Theorem Infinite Sums; Binomial Coefficients; Fibonacci Numbers; The Coin-Exchange Problem; Dedekind Sums