Complex functions

Author: Yu Jia-Rong
Publisher:
Publishing Date: 2001-01-01
Features: This book can be used as a textbook for university majors in mathematics, mechanics, astronomy, and teacher training programs. It is also suitable for self-learners as a reference. This book is a research outcome of the Ministry of Education's "Reform Plan for Teaching Content and Curriculum Systems in Higher Education Toward the 21st Century" and is designated as a 21st-century curriculum textbook and a national key textbook for the "Nineth Five-Year Plan" in general higher education. This revised edition is based on the needs of teaching practice and is built upon the foundations of the first and second editions. The book includes eight chapters: Complex Numbers and the Complex Plane, Complex Functions, Integrals of Complex Functions, Series, Residues, Conformal Mapping, Analytic Continuation, and Harmonic Functions, with the exception of the Univalence Theorem, all of which belong to the general content of the complex function course. Appendix I discusses sets and logical notation for reference; Appendices II to V are provided for teachers and students to consult or select for lecture as needed. Sections that do not belong to the general content of the complex function course are marked with an asterisk ().