In spite of being nearly 500 years old, the subject of complex analysis is still today a vital and active part of mathematics. There are important applications in physics, engineering, and other aspects of technology.

This Handbook presents contributed chapters by prominent mathematicians, including the new generation of researchers. More than a compilation of recent results, this book offers students an essential stepping-stone to gain an entry into the research life of complex analysis. Classes and seminars play a role in this process. More, though, is needed for further study. This Handbook will play that role.

This book is also a reference and a source of inspiration for more seasoned mathematicians—both specialists in complex analysis and others who want to acquaint themselves with current modes of thought.

The chapters in this volume are authored by leading experts and gifted expositors. They are carefully crafted presentations of diverse aspects of the field, formulated for a broad and diverse audience. This volume is a touchstone for current ideas in the broadly construed subject area of complex analysis. It should enrich the literature and point in some new directions.

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The Handbook of Complex Analysis will be an entree for advanced undergraduates and beginning graduate students in the subject of complex analysis. The subject of complex analysis of increasing importance. Even the function theory of several complex variables has seen applications in cosmology, geophysics, and engineering.

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Preface 1.Something about poisson and dirichlet 2.The Cauchy-Leray operator for convex domains 3.Fractional linear maps and some applications. An “Augenblick” 4.Biholomorphic transformations 5.Positivity in the @-Neumann Problem 6.Symmetry and art 7.A glimpse into invariant distances in complex analysis 8.Variations on the (eternal) theme of analytic continuation 9.Complex convexity 10.Reproducing kernels in complex analysis 11.The Green’s function method on the Riemann mapping theorem 12.Polynomial trace identities in quaternion algebras and two-generator Kleinian groups 13.Boundary value problems on klein surfaces Bibliography Index     
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Produktdetaljer

ISBN
9781138064041
Publisert
2022-03-15
Utgiver
Taylor & Francis Ltd
Vekt
1038 gr
Høyde
234 mm
Bredde
156 mm
Aldersnivå
P, 06
Språk
Product language
Engelsk
Format
Product format
Innbundet
Antall sider
546

Redaktør

Biografisk notat

Steven G. Krantz is a professor of mathematics at Washington University in St. Louis. He has previously taught at UCLA, Princeton University, and Pennsylvania State University. He has written more than 130 books and more than 250 scholarly papers and is the founding editor of the Journal of Geometric Analysis. An AMS Fellow, Dr. Krantz has been a recipient of the Chauvenet Prize, Beckenbach Book Award, and Kemper Prize. He received a Ph.D. from Princeton University.