Applied Analysis and Complex Analysis (3rd Edition)

Author: (USA) Rudin, W. (Author), Dai Mumin et al. (Translator)
Publisher:
Publishing Date: Not available
Features: This book is a classic in the field of analysis. The main contents include: abstract integration, Borel measures, Lp spaces, elementary theory of Hilbert spaces, examples of Banach space techniques, complex measures, differentiation, integration on product spaces, Fourier transforms, elementary properties of holomorphic functions, harmonic functions, maximum modulus principle, rational function approximation, conformal mappings, zeros of holomorphic functions, analytic continuation, Hp spaces, elementary theory of Banach algebras, holomorphic Fourier transforms, and polynomial uniform approximation, etc. Additionally, the book includes a large number of well-designed exercises. The book has a beautiful layout and is highly practical, featuring concise and brilliant examples, with most of the propositions provided being rigorously proved. It is suitable as a textbook for senior undergraduate and graduate students in mathematics at universities and colleges.