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The book consists of 8 chapters, i.e. Complex Bilanity, Complex Functions, Elementary Transformation, Analytic Functions, Complex Integrating, Complex Rows, Residue Theory and Residue Applications. In each chapter in the book, it is presented a formative test to test student understanding. At the end of chapter 8, besides there is a formaative test for chapter 8 material, there is also a problem of middle semester exams and because of the final semester exam. This script can be a guidebook for the course of Complex Variable Function and Advanced Complex Variable Function. This subject is a compulsory course for educational students and non-educational majors in semester 7 and 8th.