Chapter 1 Complex numbers and complex functions
1.1 Complex number and its operations
1.1.1 Complex number and its expression
1.1.2 The operations of complex numbers
1.1.3 Regions in the complex plane
Exercise 1.1
1.2 Functions of a complex variable
1.2.1 Definition of function of a complex variable
1.2.2 Complex mappings
Exercise 1.2
1.3 Limit and continuity of a complex function
1.3.1 Limit of a complex function
1.3.2 Continuity of a complex function
Exercises 1.3
Chapter 2 Analytic functions
2.1 Derivatives of Complex functions
2.1.1 Derivatives
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