An introduction to complex analysis Huaixin Cao, Jianhua Zhang, Zhengli Chen and Zhihua Guo

Format:

Book

Author/Creator:

Cao, Huaixin, 1958- author.

Zhang, Jianhua (Professor), author.

Chen, Zhengli (Professor), author.

Guo, Zhihua (Professor), author.

Series:

Textbooks for tomorrow's scientists

Standardized Title:

Fu fen xi yin lun. English

Language:

Chinese

English

Subjects (All):

Functions of complex variables.

Analytic functions.

Physical Description:

1 online resource

Place of Publication:

[Les Ulis, France] Science Press, EDP Sciences [2025]

Summary:

"An Introduction to Complex Analysis is a textbook focusing on the fundamental theories and methods of complex analysis. Guided by the core logic of “from basic construction to in-depth application,” it systematically presents the key concepts and structure of the discipline. The book helps readers shift their perspective from the real number field to the complex number field, master the essential ideas and tools for studying complex functions, and build a solid foundation for further study in advanced complex analysis and related interdisciplinary fields such as physics, engineering, and mathematical physics. Divided into seven chapters, the book features a clear and coherent content framework. It strikes a balance between theoretical rigor and practical learning: each key concept is introduced with precise definitions and intuitive explanations; important theorems are accompanied by detailed proofs; and targeted exercises at the end of each chapter help reinforce understanding. While maintaining academic depth, the text remains accessible to beginners by avoiding excessive technical complexity. This book is ideal as an introductory textbook for junior undergraduate students majoring in mathematics. It also serves as a valuable reference for students in physics, electronics, and engineering, as well as for researchers in related fields interested in the core theories and practical applications of complex analysis"-- De Gruyter Brill

The book helps readers shift their perspective from the real number field to the complex number field, master the essential ideas and tools for studying complex functions, and build a solid foundation for further study in advanced complex analysis and related interdisciplinary fields such as physics, engineering, and mathematical physics

Contents:

Complex number field

Complex variable functions

Elementary functions

Integral theory of complex functions

Taylor series and Laurent series

Singular points and zeros of analytic functions

Conformal mappings

Notes:

Includes bibliographical references

Online resource; title from PDF title page (De Gruyter Brill, viewed July 22, 2026)

Other Format:

Print version Cao, Huaixin, 1958- Introduction to complex analysis

ISBN:

9782759839377

2759839370

OCLC:

1564842701

Access Restriction:

Restricted for use by site license