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Complex Analysis Joensuu 1987
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Book Synopsis Complex Analysis Joensuu 1987 by : Ilpo Laine
Download or read book Complex Analysis Joensuu 1987 written by Ilpo Laine and published by Springer. This book was released on 2006-11-14 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: The articles in this volume are for the most part research articles related mainly to the theory of quasiconformal and quasiregular mappings, Riemann surfaces and potential theory. They have resulted from talks delivered at the 13th Nevanlinna Colloquium, which was also a celebration of the 80th birthday of Lars V. Ahlfors: hence many articles in this volume reflect his mathematical interests.
Book Synopsis Discrete Groups in Space and Uniformization Problems by : B. Apanasov
Download or read book Discrete Groups in Space and Uniformization Problems written by B. Apanasov and published by Springer Science & Business Media. This book was released on 1991-06-30 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: A revised and substantially enlarged edition of the Russian book Discrete transformation groups and manifold structures published by Nauka in 1983, this volume presents a comprehensive treatment of the geometric theory of discrete groups and the associated tessellations of the underlying space. Also dealt with in depth are geometric and conformal structures on manifolds, with particular emphasis on hyperbolic n-dimensional manifolds. A detailed account of the geometric and analytic properties of geometrically-finite Mobius groups in n-dimensional space is given and this forms the basis of the subsequent analysis. Emphasis is placed on the geometrical aspects and on the universal constraints which must be satisfied by all tessellations and structures on manifolds. Annotation copyrighted by Book News, Inc., Portland, OR
Book Synopsis Maximal Function Methods for Sobolev Spaces by : Juha Kinnunen
Download or read book Maximal Function Methods for Sobolev Spaces written by Juha Kinnunen and published by American Mathematical Soc.. This book was released on 2021-08-02 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses advances in maximal function methods related to Poincaré and Sobolev inequalities, pointwise estimates and approximation for Sobolev functions, Hardy's inequalities, and partial differential equations. Capacities are needed for fine properties of Sobolev functions and characterization of Sobolev spaces with zero boundary values. The authors consider several uniform quantitative conditions that are self-improving, such as Hardy's inequalities, capacity density conditions, and reverse Hölder inequalities. They also study Muckenhoupt weight properties of distance functions and combine these with weighted norm inequalities; notions of dimension are then used to characterize density conditions and to give sufficient and necessary conditions for Hardy's inequalities. At the end of the book, the theory of weak solutions to the p p-Laplace equation and the use of maximal function techniques is this context are discussed. The book is directed to researchers and graduate students interested in applications of geometric and harmonic analysis in Sobolev spaces and partial differential equations.
Book Synopsis Conformal Dimension by : John M. Mackay
Download or read book Conformal Dimension written by John M. Mackay and published by American Mathematical Soc.. This book was released on 2010 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: Conformal dimension measures the extent to which the Hausdorff dimension of a metric space can be lowered by quasisymmetric deformations. Introduced by Pansu in 1989, this concept has proved extremely fruitful in a diverse range of areas, including geometric function theory, conformal dynamics, and geometric group theory. This survey leads the reader from the definitions and basic theory through to active research applications in geometric function theory, Gromov hyperbolic geometry, and the dynamics of rational maps, amongst other areas. It reviews the theory of dimension in metric spaces and of deformations of metric spaces. It summarizes the basic tools for estimating conformal dimension and illustrates their application to concrete problems of independent interest. Numerous examples and proofs are provided. Working from basic definitions through to current research areas, this book can be used as a guide for graduate students interested in this field, or as a helpful survey for experts. Background needed for a potential reader of the book consists of a working knowledge of real and complex analysis on the level of first- and second-year graduate courses.
Book Synopsis Handbook of Conformal Mappings and Applications by : Prem K. Kythe
Download or read book Handbook of Conformal Mappings and Applications written by Prem K. Kythe and published by CRC Press. This book was released on 2019-03-04 with total page 841 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject of conformal mappings is a major part of geometric function theory that gained prominence after the publication of the Riemann mapping theorem — for every simply connected domain of the extended complex plane there is a univalent and meromorphic function that maps such a domain conformally onto the unit disk. The Handbook of Conformal Mappings and Applications is a compendium of at least all known conformal maps to date, with diagrams and description, and all possible applications in different scientific disciplines, such as: fluid flows, heat transfer, acoustics, electromagnetic fields as static fields in electricity and magnetism, various mathematical models and methods, including solutions of certain integral equations.
Book Synopsis Potentials and Partial Differential Equations by : Suzanne Lenhart
Download or read book Potentials and Partial Differential Equations written by Suzanne Lenhart and published by Walter de Gruyter GmbH & Co KG. This book was released on 2023-05-22 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is dedicated to the legacy of David R. Adams (1941-2021) and discusses calculus of variations, functional - harmonic - potential analysis, partial differential equations, and their applications in modeling, mathematical physics, and differential - integral geometry.
Book Synopsis Featured Reviews in Mathematical Reviews 1997-1999 by : Donald G. Babbitt
Download or read book Featured Reviews in Mathematical Reviews 1997-1999 written by Donald G. Babbitt and published by American Mathematical Soc.. This book was released on 2000-05-05 with total page 762 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second volume of Featured Reviews makes available special detailed reviews of some of the most important mathematical articles and books published from 1997 through 1999. Also included are excellent reviews of several classic books and articles published prior to 1970. Among those reviews, for example, are the following: Homological Algebra by Henri Cartan and Samuel Eilenberg, reviewed by G. Hochschild; Faisceaux algebriques coherents by Jean-Pierre Serre, reviewed by C. Chevalley; and On the Theory of General Partial Differential Operators by Lars Hormander, reviewed by J. L. Lions. In particular, those seeking information on current developments outside their own area of expertise will find the volume very useful. By identifying some of the best publications, papers, and books that have had or are expected to have a significant impact in applied and pure mathematics, this volume will serve as a comprehensive guide to important new research across all fields covered by MR.
Book Synopsis Algebraic Topology and Transformation Groups by : Tammo tom Dieck
Download or read book Algebraic Topology and Transformation Groups written by Tammo tom Dieck and published by Springer. This book was released on 2006-11-14 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Algebraic Geometry and Complex Analysis by : Enrique Ramirez de Arellano
Download or read book Algebraic Geometry and Complex Analysis written by Enrique Ramirez de Arellano and published by Springer. This book was released on 2006-11-14 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Coding Theory and Algebraic Geometry by : Henning Stichtenoth
Download or read book Coding Theory and Algebraic Geometry written by Henning Stichtenoth and published by Springer. This book was released on 2006-11-15 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: About ten years ago, V.D. Goppa found a surprising connection between the theory of algebraic curves over a finite field and error-correcting codes. The aim of the meeting "Algebraic Geometry and Coding Theory" was to give a survey on the present state of research in this field and related topics. The proceedings contain research papers on several aspects of the theory, among them: Codes constructed from special curves and from higher-dimensional varieties, Decoding of algebraic geometric codes, Trace codes, Exponen- tial sums, Fast multiplication in finite fields, Asymptotic number of points on algebraic curves, Sphere packings.
Book Synopsis My Life and Functions by : Walter K. Hayman
Download or read book My Life and Functions written by Walter K. Hayman and published by Lulu.com. This book was released on 2014 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the autobiography of Walter Kurt Hayman. Born in Germany in 1926, he came to Britain in 1938 to escape the Nazis. Educated at Gordonstoun School in Scotland and Cambridge, he was influenced by Mary Cartwright and J. E. Littlewood. He was elected to the Royal Society in 1956 and appointed Professor of Pure Mathematics at Imperial College, London. For over 30 years there he ran a world-famous school in Complex Analysis. He then spent 10 years at York before returning to Imperial College, where he is a Senior Research Fellow. He has received many prizes, awards and honorary degrees. Twice widowed, he now lives in Gloucestershire with his third wife, Marie. He gives a frank account of a life dominated by mathematics, music, friendship, family and service. There are 15 photographs, and a full list of his 218 publications to date. An index lists all persons mentioned in the text. This paperback edition is designed to be as affordable as possible. A hard-cover edition is also available.
Book Synopsis Domain Decomposition Methods in Science and Engineering XVIII by : Michel Bercovier
Download or read book Domain Decomposition Methods in Science and Engineering XVIII written by Michel Bercovier and published by Springer Science & Business Media. This book was released on 2009-09-01 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: th This volume contains a selection of 41 refereed papers presented at the 18 International Conference of Domain Decomposition Methods hosted by the School of ComputerScience and Engineering(CSE) of the Hebrew Universityof Jerusalem, Israel, January 12–17, 2008. 1 Background of the Conference Series The International Conference on Domain Decomposition Methods has been held in twelve countries throughout Asia, Europe, the Middle East, and North America, beginning in Paris in 1987. Originally held annually, it is now spaced at roughly 18-month intervals. A complete list of past meetings appears below. The principal technical content of the conference has always been mathematical, but the principal motivation has been to make ef cient use of distributed memory computers for complex applications arising in science and engineering. The leading 15 such computers, at the “petascale” characterized by 10 oating point operations per second of processing power and as many Bytes of application-addressablem- ory, now marshal more than 200,000 independentprocessor cores, and systems with many millions of cores are expected soon. There is essentially no alternative to - main decomposition as a stratagem for parallelization at such scales. Contributions from mathematicians, computerscientists, engineers,and scientists are together n- essary in addressing the challenge of scale, and all are important to this conference.
Book Synopsis Differentiable Functions On Bad Domains by : Vladimir G Maz'ya
Download or read book Differentiable Functions On Bad Domains written by Vladimir G Maz'ya and published by World Scientific. This book was released on 1998-01-15 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt: The spaces of functions with derivatives in Lp, called the Sobolev spaces, play an important role in modern analysis. During the last decades, these spaces have been intensively studied and by now many problems associated with them have been solved. However, the theory of these function classes for domains with nonsmooth boundaries is still in an unsatisfactory state.In this book, which partially fills this gap, certain aspects of the theory of Sobolev spaces for domains with singularities are studied. We mainly focus on the so-called imbedding theorems, extension theorems and trace theorems that have numerous applications to partial differential equations. Some of such applications are given.Much attention is also paid to counter examples showing, in particular, the difference between Sobolev spaces of the first and higher orders. A considerable part of the monograph is devoted to Sobolev classes for parameter dependent domains and domains with cusps, which are the simplest non-Lipschitz domains frequently used in applications.This book will be interesting not only to specialists in analysis but also to postgraduate students.
Book Synopsis Lie Algebras and Lie Groups by : Jean-Pierre Serre
Download or read book Lie Algebras and Lie Groups written by Jean-Pierre Serre and published by Springer. This book was released on 2009-02-07 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main general theorems on Lie Algebras are covered, roughly the content of Bourbaki's Chapter I.I have added some results on free Lie algebras, which are useful, both for Lie's theory itself (Campbell-Hausdorff formula) and for applications to pro-Jrgroups. of time prevented me from including the more precise theory of Lack semisimple Lie algebras (roots, weights, etc.); but, at least, I have given, as a last Chapter, the typical case ofal, . This part has been written with the help of F. Raggi and J. Tate. I want to thank them, and also Sue Golan, who did the typing for both parts. Jean-Pierre Serre Harvard, Fall 1964 Chapter I. Lie Algebras: Definition and Examples Let Ie be a commutativering with unit element, and let A be a k-module, then A is said to be a Ie-algebra if there is given a k-bilinear map A x A~ A (i.e., a k-homomorphism A0" A -+ A). As usual we may define left, right and two-sided ideals and therefore quo tients. Definition 1. A Lie algebra over Ie isan algebrawith the following properties: 1). The map A0i A -+ A admits a factorization A ®i A -+ A2A -+ A i.e., ifwe denote the imageof(x, y) under this map by [x, y) then the condition becomes for all x e k. [x, x)=0 2). (lx, II], z]+ny, z), x) + ([z, xl, til = 0 (Jacobi's identity) The condition 1) implies [x,1/]=-[1/, x).
Book Synopsis K-theory and Homological Algebra by : Hvedri Inassaridze
Download or read book K-theory and Homological Algebra written by Hvedri Inassaridze and published by Springer. This book was released on 2006-11-14 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis First European Congress of Mathematics Paris, July 6–10, 1992 by : Anthony Joseph
Download or read book First European Congress of Mathematics Paris, July 6–10, 1992 written by Anthony Joseph and published by Birkhäuser. This book was released on 2012-12-06 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: Table of Contents: D. Duffie: Martingales, Arbitrage, and Portfolio Choice J. Frhlich: Mathematical Aspects of the Quantum Hall Effect M. Giaquinta: Analytic and Geometric Aspects of Variational Problems for Vector Valued Mappings U. Hamenstdt: Harmonic Measures for Leafwise Elliptic Operators Along Foliations M. Kontsevich: Feynman Diagrams and Low-Dimensional Topology S.B. Kuksin: KAM-Theory for Partial Differential Equations M. Laczkovich: Paradoxical Decompositions: A Survey of Recent Results J.-F. Le Gall: A Path-Valued Markov Process and its Connections with Partial Differential Equations I. Madsen: The Cyclotomic Trace in Algebraic K-Theory A.S. Merkurjev: Algebraic K-Theory and Galois Cohomology J. Nekovr: Values of L-Functions and p-Adic Cohomology Y.A. Neretin: Mantles, Trains and Representations of Infinite Dimensional Groups M.A. Nowak: The Evolutionary Dynamics of HIV Infections R. Piene: On the Enumeration of Algebraic Curves - from Circles to Instantons A. Quarteroni: Mathematical Aspects of Domain Decomposition Methods A. Schrijver: Paths in Graphs and Curves on Surfaces B. Silverman: Function Estimation and Functional Data Analysis V. Strassen: Algebra and Complexity P. Tukia: Generalizations of Fuchsian and Kleinian Groups C. Viterbo: Properties of Embedded Lagrange Manifolds D. Voiculescu: Alternative Entropies in Operator Algebras M. Wodzicki : Algebraic K-Theory and Functional Analysis D. Zagier: Values of Zeta Functions and Their Applications.
Book Synopsis H -Control Theory by : Edoardo Mosca
Download or read book H -Control Theory written by Edoardo Mosca and published by Springer. This book was released on 2006-11-14 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fundamental problem in control engineering is to provide robust performance to uncertain plants. H -control theory began in the early eighties as an attempt to lay down rigorous foundations on the classical robust control requirements. It now turns out that H -control theory is at the crossroads of several important directions of research space or polynomial approach to control and classical interpolation theory; harmonic analysis and operator theory; minimax LQ stochastic control and integral equations. The book presents the underlying fundamental ideas, problems and advances through the pen of leading contributors to the field, for graduate students and researchers in both engineering and mathematics. From the Contents: C. Foias: Commutant Lifting Techniques for Computing Optimal H Controllers.- B.A. Francis: Lectures on H Control and Sampled-Data Systems.- J.W. Helton: Two Topics in Systems Engineering Frequency Domain Design and Nonlinear System.- H. Kwakernaak: The Polynomial Approach to H -Optimal Regulation.- J.B. Pearson: A Short Course in l - Optimal Control
