Explains real analysis and complex analysis for graduate and advanced undergraduate students who are familiar with terms such as continuity, power series, and Riemann integral. Exercises, a symbol list, and a glossary supplement chapters on integration, functional analysis, locally holomorphic functions, conformal mapping, and Thorin's theorem in convexity and complex analysis. Annotation copyright Book News, Inc. Portland, Or.
Modern Real and Complex Analysis
Thorough, well-written, and encyclopedic in its coverage, this text offers a lucid presentation of all the topics essential to graduate study in analysis. While maintaining the strictest standards of rigor, Professor Gelbaum's approach is designed to appeal to intuition whenever possible. Modern Real and Complex Analysis provides up-to-date treatment of such subjects as the Daniell integration, differentiation, functional analysis and Banach algebras, conformal mapping and Bergman's kernels, defective functions, Riemann surfaces and uniformization, and the role of convexity in analysis. The text supplies an abundance of exercises and illustrative examples to reinforce learning, and extensive notes and remarks to help clarify important points.
Lisainfo e-raamatute kohta