Functions of One Complex Variable

Book Details

• Publisher: Narosa Publishing House

• Author: Michael Barr

• Language: English

• Edition: 1

• ISBN: 9788185015378

• Pages: 330

• Cover: Paperback

• Dimensions: 8.5 x 5.5 x 0.5 inches

About The Book

Complex Analysis by Michael Barr is an excellent introductory text for undergraduate students studying complex analysis. The book covers a wide range of topics, providing a clear and accessible treatment of fundamental concepts in the field.

The content includes a thorough exploration of the complex number system, metric spaces, and the topology of complex numbers. It introduces elementary properties and examples of analytic functions and provides a solid foundation in complex integration, singularities, and the maximum modulus theorem.

Barr also explores more advanced topics such as compactness and convergence in the space of analytic functions, Runge's theorem, and the process of analytic continuation and Riemann surfaces. Additionally, the book addresses harmonic functions, entire functions, and the range of analytic functions, making it a comprehensive resource for understanding the intricacies of complex analysis.

Designed for undergraduate students and teachers, this book serves as an ideal textbook for those beginning their journey in complex analysis. The text is well-organized, with numerous examples, an appendix, references, and a list of symbols to aid in the understanding of key concepts. Whether used for self-study or in the classroom, Complex Analysis provides a clear and systematic introduction to this fundamental area of mathematics.