Inequalities from complex analysis is a careful friendly exposition of some rather interesting mathematics the author begins by defining the complex number field he gives a novel presentation of some standard mathematical analysis in the early chapters the development culminates with some results from recent research literature. The first five chapters are accessible to the broad mathematical community with basic training in analysis and are useful for an honors course at the senior undergraduate level the entire book offers an attractive but demanding introduction to modern complex analysis at the graduate level. Inequalities from complex analysis dangelo john p mathematical association of america washington dc 2002 carus mathematical monographs. Mathematical analysis requires a thorough study of inequalities this book will discuss inequalities and related positivity conditions arising from complex analysis in both one and several variables the statements proofs and applications of these inequalities involve diverse parts of mathematics. Complex numbers complex euclidean spaces and hilbert spaces complex analysis in several variables linear transformations and positivity conditions compact and integral operators positivity conditions for real valued functions stabilization and applications series title carus mathematical monographs no 28 responsibility
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