Description
Book SynopsisTrade ReviewThe book provides the reader with a deep appreciation of complex analysis and how this subject fits into mathematics." -
Mathematical Reviews"The book under review provides a refreshing presentation of both classical and modern topics in and relating to complex analysis, which will be appreciated by mature undergraduates, budding graduate students, and even research mathematicians . . . The book's strengths lie in the characteristics which distinguish it from other undergraduate complex analysis texts. Throughout the book, numerous uncommon topics and rich examples tie complex analysis to farther areas of math, giving the reader a glimpse of the power of this intriguing subject . . . Overall, the text provides a mature view of basic concepts from complex analysis and also succeeds in giving a succinct introduction to the more sophisticated topics covered. It furthermore makes its collection of advanced and fascinating special topics accessible to the undergraduate." - Kealy Dias,
Zentralblatt MATHTable of Contents
- Preface
- From the real numbers to the complex numbers
- Complex numbers
- Complex numbers and geometry
- Power series expansions
- Complex differentiation
- Complex integration
- Applications of complex integration
- Additional topics
- Bibliography
- Index
