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 book provides complete yet comprehensible proofs as well as some surprising consequences of the results. One unifying theme is a complex variables analogue of Hilbert's seventeenth problem. Numerous examples, exercises and discussions of geometric reasoning aid the reader. The book is accessible to undergraduate mathematicians, as well as physicists and engineers.

Inequalities from complex analysis. Theory, examples and applications.
Reviews
The book is nicely organized and well written for readers who have a background in real analysis and complex variable theory. The book is carefully prepared...It will be a valuable resource for research libraries."" - Richard Chechile, Journal of Mathematical Psychology

""I really enjoyed reading this book....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."" - Jeffrey Nunemacher, MAA Online

""This short book takes readers from the first properties of the complex numbers, all the way to current research. On the way, the readers will acquire essential tools from complex analysis, linear algebra, Hilbert space, several complex variables, Fourier analysis, and operator theory. Even more remarkably, the pace seems leisurely, with many delightful digressions, some nearly as interesting as the main results....such a book affords the undergraduate the pleasant opportunity to learn important basics by immediately seeing them fit together into something of beauty."" - D. V. Felman, CHOICE



Book Information
ISBN 9780883850336
Author John P. D'Angelo
Format Hardback
Page Count 280
Imprint Mathematical Association of America
Publisher Mathematical Association of America
Weight(grams) 432g
Dimensions(mm) 216mm * 150mm * 24mm