Complex Variables: Harmonic and Analytic Functions (Dover Books on Mathematics)

Book Details

• Author: Flanigan, Francis J.

• Publisher: Dover

• Edition: New

• Binding: Paperback

• Number of Pages: 384

• Release Date: 01-09-1983

• ISBN: 9780486613888

• Package Dimensions: 8.4 x 5.5 x 1.1 inches

• Languages: English

About The Book
"Complex Variables" by Francis J. Flanigan presents a unique approach to the subject that sets it apart from traditional textbooks. This book challenges conventional structures in mathematics education, offering an unconventional yet highly effective treatment of complex analysis. While it covers all the essential topics needed for an advanced undergraduate or first-year graduate course, it does so in a way that requires more active engagement from the reader, making it an ideal text for those seeking a deeper understanding of the subject.

Flanigan begins with a focus on harmonic functions from a real-variable perspective, deferring the discussion of complex algebra until later. This approach ensures that readers build a solid foundation before diving into the complexities of analytic functions. The book covers essential topics such as integrals of analytic functions, Laurent series, the residue theorem, and conformal mappings, making it a comprehensive guide for students looking to master complex analysis.

The author’s clear and stimulating writing style, paired with fine illustrations and a wealth of problems at the end of each chapter, makes this text not just a learning tool, but an engaging experience. Flanigan’s book is perfect for students tired of traditional, dry textbooks, offering both clarity and excitement in the study of complex variables.