Real and Complex Analysis (3rd Edition)

Author: Walter W. [USA] Dai Mumin et al
Publisher:
Publish Date: 2006-01-01
Features: This book is a classic in the field of analysis, primarily covering the following content: abstract integration, Borel measures, Lp spaces, elementary theory of Hilbert spaces, examples of Banach space techniques, complex measures, differentiation, integration on product spaces, Fourier transform, elementary properties of holomorphic functions, harmonic functions, the maximum modulus principle, rational function approximation, conformal mapping, zeros of holomorphic functions, analytic continuation, Hp spaces, elementary theory of Banach algebras, holomorphic Fourier transform, and polynomial uniform approximation, etc. Additionally, the book includes a large number of well-designed exercises. The book is beautifully structured and highly practical, featuring clear and brilliant examples, with most of the propositions provided being rigorously proven. It is suitable as a teaching material for senior undergraduate and graduate students in mathematics at universities and colleges.