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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: 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: 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: 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: G. M. Khenkin
Publisher: Springer
Published: 1994
Total Pages: 280
ISBN-13:
DOWNLOAD EBOOKThis volume of the Encyclopaedia contains four parts each of which being an informative survey of a topic in the field of several complex variables. Thefirst deals with residue theory and its applications to integrals depending on parameters, combinatorial sums and systems of algebraic equations. The second part contains recent results in complex potential theory and the third part treats function theory in the unit ball covering research of the last twenty years. The latter part includes an up-to-date account of research related to a list of problems, which was published by Rudin in 1980. The last part of the book treats complex analysis in the futuretube. The future tube is an important concept in mathematical physics, especially in axiomatic quantum field theory, and it is related to Penrose'swork on "the complex geometry of the real world". Researchers and graduate students in complex analysis and mathematical physics will use thisbook as a reference and as a guide to exciting areas of research.
Author: Magnus Lundin
Publisher:
Published: 1992
Total Pages: 24
ISBN-13: 9789170326905
DOWNLOAD EBOOKAuthor: 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: Norair Arakelian
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 275
ISBN-13: 9401009791
DOWNLOAD EBOOKHermann Weyl considered value distribution theory to be the greatest mathematical achievement of the first half of the 20th century. The present lectures show that this beautiful theory is still growing. An important tool is complex approximation and some of the lectures are devoted to this topic. Harmonic approximation started to flourish astonishingly rapidly towards the end of the 20th century, and the latest development, including approximation manifolds, are presented here. Since de Branges confirmed the Bieberbach conjecture, the primary problem in geometric function theory is to find the precise value of the Bloch constant. After more than half a century without progress, a breakthrough was recently achieved and is presented. Other topics are also presented, including Jensen measures. A valuable introduction to currently active areas of complex analysis and potential theory. Can be read with profit by both students of analysis and research mathematicians.
Author: Tahir Aliyev Azero?lu
Publisher: World Scientific
Published: 2007
Total Pages: 301
ISBN-13: 9812705988
DOWNLOAD EBOOKThis volume gathers the contributions from outstanding mathematicians, such as Samuel Krushkal, Reiner Khnau, 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: Thomas Ransford
Publisher: Cambridge University Press
Published: 2014-05-14
Total Pages: 243
ISBN-13: 9781107362055
DOWNLOAD EBOOKPotential theory is the broad area of mathematical analysis encompassing such topics as harmonic and subharmonic functions.
