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Author : Makoto Ohtsuka
Publisher :
ISBN 13 :
Total Pages : 352 pages
Book Rating : 4.:/5 (49 download)
Download or read book Dirichlet Problem, Extremal Length, and Prime Ends written by Makoto Ohtsuka and published by . This book was released on 1970 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (472 download)
Download or read book Dirichlet Problem, Extremal Length and Prime written by and published by . This book was released on 1963 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Makoto Ohtsuka
Publisher :
ISBN 13 :
Total Pages : 326 pages
Book Rating : 4.:/5 (44 download)
Download or read book Dirichlet problem extremal lenght and prime ends written by Makoto Ohtsuka and published by . This book was released on 1970 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Makoto Ohtsuka
Publisher :
ISBN 13 :
Total Pages : 326 pages
Book Rating : 4.:/5 (989 download)
Download or read book Dirichlet Problem, External Length, and Prime Ends written by Makoto Ohtsuka and published by . This book was released on 1970 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Michiel Hazewinkel
Publisher : Springer Science & Business Media
ISBN 13 : 9781556080104
Total Pages : 982 pages
Book Rating : 4.0/5 (81 download)
Download or read book Encyclopaedia of Mathematics (set) written by Michiel Hazewinkel and published by Springer Science & Business Media. This book was released on 1994-02-28 with total page 982 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Encyclopaedia of Mathematics is the most up-to-date, authoritative and comprehensive English-language work of reference in mathematics which exists today. With over 7,000 articles from `A-integral' to `Zygmund Class of Functions', supplemented with a wealth of complementary information, and an index volume providing thorough cross-referencing of entries of related interest, the Encyclopaedia of Mathematics offers an immediate source of reference to mathematical definitions, concepts, explanations, surveys, examples, terminology and methods. The depth and breadth of content and the straightforward, careful presentation of the information, with the emphasis on accessibility, makes the Encyclopaedia of Mathematics an immensely useful tool for all mathematicians and other scientists who use, or are confronted by, mathematics in their work. The Enclyclopaedia of Mathematics provides, without doubt, a reference source of mathematical knowledge which is unsurpassed in value and usefulness. It can be highly recommended for use in libraries of universities, research institutes, colleges and even schools.
Author : Robert E. Thurman
Publisher :
ISBN 13 :
Total Pages : 134 pages
Book Rating : 4.3/5 (91 download)
Download or read book Extremal Problems for Logarithmic Capacity and Extremal Length written by Robert E. Thurman and published by . This book was released on 1995 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Vladimir V. Andrievskii
Publisher : Springer Science & Business Media
ISBN 13 : 1475749996
Total Pages : 444 pages
Book Rating : 4.4/5 (757 download)
Download or read book Discrepancy of Signed Measures and Polynomial Approximation written by Vladimir V. Andrievskii and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: A concise outline of the basic facts of potential theory and quasiconformal mappings makes this book an ideal introduction for non-experts who want to get an idea of applications of potential theory and geometric function theory in various fields of construction analysis.
Author : Juha Heinonen
Publisher : Courier Dover Publications
ISBN 13 : 0486830462
Total Pages : 417 pages
Book Rating : 4.4/5 (868 download)
Download or read book Nonlinear Potential Theory of Degenerate Elliptic Equations written by Juha Heinonen and published by Courier Dover Publications. This book was released on 2018-05-16 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: A self-contained treatment appropriate for advanced undergraduates and graduate students, this text offers a detailed development of the necessary background for its survey of the nonlinear potential theory of superharmonic functions. 1993 edition.
Author : Reiner Kuhnau
Publisher : Elsevier
ISBN 13 : 0080532810
Total Pages : 549 pages
Book Rating : 4.0/5 (85 download)
Download or read book Handbook of Complex Analysis written by Reiner Kuhnau and published by Elsevier. This book was released on 2002-12-05 with total page 549 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometric Function Theory is a central part of Complex Analysis (one complex variable). The Handbook of Complex Analysis - Geometric Function Theory deals with this field and its many ramifications and relations to other areas of mathematics and physics. The theory of conformal and quasiconformal mappings plays a central role in this Handbook, for example a priori-estimates for these mappings which arise from solving extremal problems, and constructive methods are considered. As a new field the theory of circle packings which goes back to P. Koebe is included. The Handbook should be useful for experts as well as for mathematicians working in other areas, as well as for physicists and engineers. · A collection of independent survey articles in the field of GeometricFunction Theory · Existence theorems and qualitative properties of conformal and quasiconformal mappings · A bibliography, including many hints to applications in electrostatics, heat conduction, potential flows (in the plane)
Author : Makoto Ohtsuka
Publisher :
ISBN 13 :
Total Pages : 364 pages
Book Rating : 4.3/5 (91 download)
Download or read book Extremal Length and Precise Functions written by Makoto Ohtsuka and published by . This book was released on 2003 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Lars Valerian Ahlfors
Publisher : American Mathematical Soc.
ISBN 13 : 0821852701
Total Pages : 177 pages
Book Rating : 4.8/5 (218 download)
Download or read book Conformal Invariants written by Lars Valerian Ahlfors and published by American Mathematical Soc.. This book was released on 2010-11-17 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most conformal invariants can be described in terms of extremal properties. Conformal invariants and extremal problems are therefore intimately linked and form together the central theme of this classic book which is primarily intended for students with approximately a year's background in complex variable theory. The book emphasizes the geometric approach as well as classical and semi-classical results which Lars Ahlfors felt every student of complex analysis should know before embarking on independent research. At the time of the book's original appearance, much of this material had never appeared in book form, particularly the discussion of the theory of extremal length. Schiffer's variational method also receives special attention, and a proof of $\vert a_4\vert \leq 4$ is included which was new at the time of publication. The last two chapters give an introduction to Riemann surfaces, with topological and analytical background supplied to support a proof of the uniformization theorem. Included in this new reprint is a Foreword by Peter Duren, F. W. Gehring, and Brad Osgood, as well as an extensive errata. ... encompasses a wealth of material in a mere one hundred and fifty-one pages. Its purpose is to present an exposition of selected topics in the geometric theory of functions of one complex variable, which in the author's opinion should be known by all prospective workers in complex analysis. From a methodological point of view the approach of the book is dominated by the notion of conformal invariant and concomitantly by extremal considerations. ... It is a splendid offering. --Reviewed for Math Reviews by M. H. Heins in 1975
Author : John B. Garnett
Publisher : Cambridge University Press
ISBN 13 : 1139443097
Total Pages : 4 pages
Book Rating : 4.1/5 (394 download)
Download or read book Harmonic Measure written by John B. Garnett and published by Cambridge University Press. This book was released on 2005-04-04 with total page 4 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the last two decades several remarkable new results were discovered about harmonic measure in the complex plane. This book provides a careful survey of these results and an introduction to the branch of analysis which contains them. Many of these results, due to Bishop, Carleson, Jones, Makarov, Wolff and others, appear here in paperback for the first time. The book is accessible to students who have completed standard graduate courses in real and complex analysis. The first four chapters provide the needed background material on univalent functions, potential theory, and extremal length, and each chapter has many exercises to further inform and teach the readers.
Author : Matti Vuorinen
Publisher : Springer
ISBN 13 : 3540392076
Total Pages : 228 pages
Book Rating : 4.5/5 (43 download)
Download or read book Conformal Geometry and Quasiregular Mappings written by Matti Vuorinen and published by Springer. This book was released on 2006-11-15 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to the theory of spatial quasiregular mappings intended for the uninitiated reader. At the same time the book also addresses specialists in classical analysis and, in particular, geometric function theory. The text leads the reader to the frontier of current research and covers some most recent developments in the subject, previously scatterd through the literature. A major role in this monograph is played by certain conformal invariants which are solutions of extremal problems related to extremal lengths of curve families. These invariants are then applied to prove sharp distortion theorems for quasiregular mappings. One of these extremal problems of conformal geometry generalizes a classical two-dimensional problem of O. Teichmüller. The novel feature of the exposition is the way in which conformal invariants are applied and the sharp results obtained should be of considerable interest even in the two-dimensional particular case. This book combines the features of a textbook and of a research monograph: it is the first introduction to the subject available in English, contains nearly a hundred exercises, a survey of the subject as well as an extensive bibliography and, finally, a list of open problems.
Author : Carl David Minda
Publisher :
ISBN 13 :
Total Pages : 292 pages
Book Rating : 4.:/5 (318 download)
Download or read book Extremal Length, Bounds for Harmonic Functions and Analytic Arcs written by Carl David Minda and published by . This book was released on 1970 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Barry Simon
Publisher : American Mathematical Soc.
ISBN 13 : 1470411008
Total Pages : 661 pages
Book Rating : 4.4/5 (74 download)
Download or read book Basic Complex Analysis written by Barry Simon and published by American Mathematical Soc.. This book was released on 2015-11-02 with total page 661 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Comprehensive Course in Analysis by Poincaré Prize winner Barry Simon is a five-volume set that can serve as a graduate-level analysis textbook with a lot of additional bonus information, including hundreds of problems and numerous notes that extend the text and provide important historical background. Depth and breadth of exposition make this set a valuable reference source for almost all areas of classical analysis. Part 2A is devoted to basic complex analysis. It interweaves three analytic threads associated with Cauchy, Riemann, and Weierstrass, respectively. Cauchy's view focuses on the differential and integral calculus of functions of a complex variable, with the key topics being the Cauchy integral formula and contour integration. For Riemann, the geometry of the complex plane is central, with key topics being fractional linear transformations and conformal mapping. For Weierstrass, the power series is king, with key topics being spaces of analytic functions, the product formulas of Weierstrass and Hadamard, and the Weierstrass theory of elliptic functions. Subjects in this volume that are often missing in other texts include the Cauchy integral theorem when the contour is the boundary of a Jordan region, continued fractions, two proofs of the big Picard theorem, the uniformization theorem, Ahlfors's function, the sheaf of analytic germs, and Jacobi, as well as Weierstrass, elliptic functions.
Author : Fred Gross
Publisher :
ISBN 13 :
Total Pages : 172 pages
Book Rating : 4.:/5 ( download)
Download or read book Proceedings written by Fred Gross and published by . This book was released on 1971 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Michiel Hazewinkel
Publisher : Springer Science & Business Media
ISBN 13 : 940096000X
Total Pages : 517 pages
Book Rating : 4.4/5 (9 download)
Download or read book Encyclopaedia of Mathematics written by Michiel Hazewinkel and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 517 pages. Available in PDF, EPUB and Kindle. Book excerpt: This ENCYCLOPAEDIA OF MATHEMATICS aims to be a reference work for all parts of mathematics. It is a translation with updates and editorial comments of the Soviet Mathematical En cyclopaedia published by 'Soviet Encyclopaedia Publishing House' in five volumes in 1977 - 1985. The annotated translation consists of ten volumes including a special index volume. There are three kinds of articles in this ENCYCLOPAEDIA. First of all there are survey-type articles dealing with the various main directions in mathematics (where a rather fine subdivision has been used). The main requirement for these articles has been that they should give a reasonably complete up-to-date account of the current state of affairs in these areas and that they should be maximally accessible. On the whole, these articles should be understandable to mathe matics students in their first specialization years, to graduates from other mathematical areas and, depending on the specific subject, to specialists in other domains of science, engineers and teachers of mathematics. These articles treat their material at a fairly general level and aim to give an idea of the kind of problems, techniques and concepts involved in the area in question. They also contain background and motivation rather than precise statements of precise theorems with detailed definitions and technical details on how to carry out proofs and constructions. The second kind of article, of medium length, contains more detailed concrete problems, results and techniques.
