This undergraduate textbook on the theory of functions of a complex variable explains the standard introductory material, clearly but in depth, with many examples and applications, and also introduces more advanced topics. Primarily an introductory text, it will be useful at a more advanced level and as a reference. INDICE: 1: Complex Numbers; 2: Complex Functions; 3: Differentiation and Analyticity; 4: Complex Functions as Mappings; 5: Closed Contours and Homology; 6: Integration; 7: Cauchy's Integral Formula; 8: Multiply Connected Domains; 9: Power Series; 10: Sequences, Series, and Infinite Products; 11: IsolatedSingularities; 12: The Residue Theorem; 13: Real Integrals; 14: Infinite Sums; 15: Factoring Entire and Meromorphic Functions; 16: Method of Steepest Descent; 17: Integral Representations of the Gamma and Zeta Functions; 18: Special Functions and Integral Representations
- ISBN: 978-0-19-850982-0
- Editorial: Oxford University
- Encuadernacion: Cartoné
- Páginas: 464
- Fecha Publicación: 22/07/2010
- Nº Volúmenes: 1
- Idioma: Inglés