Howie, John M.
Complex Analysis (Springer Undergraduate Mathematics) (Springer Undergraduate Mathematics)
- ISBN 13:
- 9781852337339
- author:
- Howie, John M.
- format:
- Paperback
- publisher:
- Springer
- language:
- English
- Publication Year:
- 2008
- Pages:
- 260
- Dimensions:
- 178 mm X 254 mm
- Genre:
- Functional analysis
- Condition:
- New
- Availability:
- Item usually sent within 5 working days
Description
This comprehensive textbook provides an in-depth introduction to complex analysis, covering both theoretical and applied aspects. It is designed for students with varying backgrounds in mathematics, science, and engineering, offering a self-study resource that balances pure and practical perspectives.
The book covers essential topics such as complex numbers, differentiation, integration, Cauchy's theorem, Laurent series, residue theorem, contour integration, conformal mappings, and harmonic functions. A final chapter explores the Riemann hypothesis and introduces the concepts of iteration, Julia sets, and the Mandelbrot set.
Clear explanations are supported by worked examples and over 100 exercises, with full solutions provided to aid understanding and practice.