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Author: Thomas Ransford
Publisher: Cambridge University Press
Published: 1995-03-16
Total Pages: 246
ISBN-13: 9780521466547
DOWNLOAD EBOOKPotential theory is the broad area of mathematical analysis encompassing such topics as harmonic and subharmonic functions.
Author: David H. Armitage
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 343
ISBN-13: 1447102339
DOWNLOAD EBOOKA long-awaited, updated introductory text by the world leaders in potential theory. This essential reference work covers all aspects of this major field of mathematical research, from basic theory and exercises to more advanced topological ideas. The largely self-contained presentation makes it basically accessible to graduate students.
Author: Paul M. Gauthier
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 565
ISBN-13: 9401109346
DOWNLOAD EBOOKProceedings of the NATO Advanced Study Institute and Séminaire de mathématiques supérieures, Montréal, Canada, July 26--August 6, 1993
Author: Shiing-shen Chern
Publisher: Springer Science & Business Media
Published: 2013-06-29
Total Pages: 158
ISBN-13: 1468493442
DOWNLOAD EBOOKFrom the reviews of the second edition: "The new methods of complex manifold theory are very useful tools for investigations in algebraic geometry, complex function theory, differential operators and so on. The differential geometrical methods of this theory were developed essentially under the influence of Professor S.-S. Chern's works. The present book is a second edition... It can serve as an introduction to, and a survey of, this theory and is based on the author's lectures held at the University of California and at a summer seminar of the Canadian Mathematical Congress.... The text is illustrated by many examples... The book is warmly recommended to everyone interested in complex differential geometry." #Acta Scientiarum Mathematicarum, 41, 3-4#
Author: Kalyan Kumar Roy
Publisher: Springer Science & Business Media
Published: 2007-11-15
Total Pages: 661
ISBN-13: 354072334X
DOWNLOAD EBOOKThis book introduces the principles of gravitational, magnetic, electrostatic, direct current electrical and electromagnetic fields, with detailed solutions of Laplace and electromagnetic wave equations by the method of separation of variables. Discussion includes behaviours of the scalar and vector potential and the nature of the solutions of these boundary value problems, along with the use of complex variables and conformal transformation, Green's theorem, Green's formula and Green's functions.
Author: John W. Dettman
Publisher: Courier Corporation
Published: 2012-05-07
Total Pages: 514
ISBN-13: 0486158284
DOWNLOAD EBOOKFundamentals of analytic function theory — plus lucid exposition of 5 important applications: potential theory, ordinary differential equations, Fourier transforms, Laplace transforms, and asymptotic expansions. Includes 66 figures.
Author: Steven R. Bell
Publisher: CRC Press
Published: 2015-11-04
Total Pages: 221
ISBN-13: 1498727212
DOWNLOAD EBOOKThe Cauchy Transform, Potential Theory and Conformal Mapping explores the most central result in all of classical function theory, the Cauchy integral formula, in a new and novel way based on an advance made by Kerzman and Stein in 1976.The book provides a fast track to understanding the Riemann Mapping Theorem. The Dirichlet and Neumann problems f
Author: T Aliyev Azeroglu
Publisher: World Scientific
Published: 2007-08-13
Total Pages: 301
ISBN-13: 9814475718
DOWNLOAD EBOOKThis volume gathers the contributions from outstanding mathematicians, such as Samuel Krushkal, Reiner Kühnau, Chung Chun Yang, Vladimir Miklyukov and others.It will help researchers to solve problems on complex analysis and potential theory and discuss various applications in engineering. The contributions also update the reader on recent developments in the field. Moreover, a special part of the volume is completely devoted to the formulation of some important open problems and interesting conjectures.
Author: Andre Boivin
Publisher: American Mathematical Soc.
Published: 2012
Total Pages: 347
ISBN-13: 0821891731
DOWNLOAD EBOOKThis is the proceedings volume of an international conference entitled Complex Analysis and Potential Theory, which was held to honor the important contributions of two influential analysts, Kohur N. GowriSankaran and Paul M. Gauthier, in June 2011 at the Centre de Recherches Mathematiques (CRM) in Montreal. More than fifty mathematicians from fifteen countries participated in the conference. The twenty-four surveys and research articles contained in this book are based on the lectures given by some of the most established specialists in the fields. They reflect the wide breadth of research interests of the two honorees: from potential theory on trees to approximation on Riemann surfaces, from universality to inner and outer functions and the disc algebra, from branching processes to harmonic extension and capacities, from harmonic mappings and the Harnack principle to integration formulae in $\mathbb {C}^n$ and the Hartogs phenomenon, from fine harmonicity and plurisubharmonic functions to the binomial identity and the Riemann hypothesis, and more. This volume will be a valuable resource for specialists, young researchers, and graduate students from both fields, complex analysis and potential theory. It will foster further cooperation and the exchange of ideas and techniques to find new research perspectives.
Author: Steven George Krantz
Publisher: American Mathematical Soc.
Published: 2001
Total Pages: 586
ISBN-13: 0821827243
DOWNLOAD EBOOKEmphasizing integral formulas, the geometric theory of pseudoconvexity, estimates, partial differential equations, approximation theory, inner functions, invariant metrics, and mapping theory, this title is intended for the student with a background in real and complex variable theory, harmonic analysis, and differential equations.
