By Robert E. Greene and Steven G. Krantz
ISBN-10: 0821839624
ISBN-13: 9780821839621
Complicated research is likely one of the such a lot imperative matters in arithmetic. it's compelling and wealthy in its personal correct, however it can also be remarkably precious in a wide selection of alternative mathematical matters, either natural and utilized. This e-book isn't like others in that it treats advanced variables as an immediate improvement from multivariable actual calculus. As each one new inspiration is brought, it really is relating to the corresponding proposal from genuine research and calculus. The textual content is wealthy with examples and routines that illustrate this element. The authors have systematically separated the research from the topology, as should be noticeable of their evidence of the Cauchy theorem. The booklet concludes with a number of chapters on specific issues, together with complete remedies of specific services, the leading quantity theorem, and the Bergman kernel. The authors additionally deal with $H^p$ areas and Painlevé's theorem on smoothness to the boundary for conformal maps. This booklet is a textual content for a first-year graduate direction in advanced research. it really is an enticing and glossy advent to the topic, reflecting the authors' services either as mathematicians and as expositors.
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Additional resources for Function Theory of One Complex Variable: Third Edition
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