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Author : Joseph Leonard Walsh
Publisher :
ISBN 13 :
Total Pages : 44 pages
Book Rating : 4.3/5 (91 download)
Download or read book A Generalization of Faber's Polynomials written by Joseph Leonard Walsh and published by . This book was released on 1958 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : P.K. Suetin
Publisher : CRC Press
ISBN 13 : 9789056990589
Total Pages : 272 pages
Book Rating : 4.9/5 (95 download)
Download or read book Series of Faber Polynomials written by P.K. Suetin and published by CRC Press. This book was released on 1998-03-23 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents some important classical and modern results of the series of Faber polynomials and their applications. Interest in this subject has increased rapidly over the last decade, although the presentation of research has, until now, been confined mainly to journal articles. Applications include theory of functions of complex variables, theory of analytic function approximation, and some aspects of numerical analysis.
Author : Ralph P. Boas
Publisher : Springer Science & Business Media
ISBN 13 : 3662251701
Total Pages : 85 pages
Book Rating : 4.6/5 (622 download)
Download or read book Polynomial expansions of analytic functions written by Ralph P. Boas and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 85 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph deals with the expansion properties, in the complex domain, of sets of polynomials which are defined by generating relations. It thus represents a synthesis of two branches of analysis which have been developing almost independently. On the one hand there has grown up a body of results dealing with the more or less formal prop erties of sets of polynomials which possess simple generating relations. Much of this material is summarized in the Bateman compendia (ERDELYI [1], voi. III, chap. 19) and in TRUESDELL [1]. On the other hand, a problem of fundamental interest in classical analysis is to study the representability of an analytic function f(z) as a series ,Lc,. p,. (z), where {p,. } is a prescribed sequence of functions, and the connections between the function f and the coefficients c,. . BIEBERBACH's mono graph Analytische Fortsetzung (Ergebnisse der Mathematik, new series, no. 3) can be regarded as a study of this problem for the special choice p,. (z) =z", and illustrates the depth and detail which such a specializa tion allows. However, the wealth of available information about other sets of polynomials has seldom been put to work in this connection (the application of generating relations to expansion of functions is not even mentioned in the Bateman compendia). At the other extreme, J. M.
Author : Amnon Jakimovski
Publisher : Springer Science & Business Media
ISBN 13 : 1402041756
Total Pages : 303 pages
Book Rating : 4.4/5 (2 download)
Download or read book Walsh Equiconvergence of Complex Interpolating Polynomials written by Amnon Jakimovski and published by Springer Science & Business Media. This book was released on 2007-05-16 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of the various old and new results, centered around the following simple and beautiful observation of J.L. Walsh - If a function is analytic in a finite disc, and not in a larger disc, then the difference between the Lagrange interpolant of the function, at the roots of unity, and the partial sums of the Taylor series, about the origin, tends to zero in a larger disc than the radius of convergence of the Taylor series, while each of these operators converges only in the original disc. This book will be particularly useful for researchers in approximation and interpolation theory.
Author : Pavel Kondratʹevich Suetin
Publisher : American Mathematical Soc.
ISBN 13 : 9780821830000
Total Pages : 100 pages
Book Rating : 4.8/5 (3 download)
Download or read book Polynomials Orthogonal over a Region and Bieberbach Polynomials written by Pavel Kondratʹevich Suetin and published by American Mathematical Soc.. This book was released on 1974 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discusses orthogonal polynomials.
Author : Michiel Hazewinkel
Publisher : Springer
ISBN 13 : 9400959834
Total Pages : 732 pages
Book Rating : 4.4/5 (9 download)
Download or read book Encyclopaedia of Mathematics written by Michiel Hazewinkel and published by Springer. This book was released on 2013-12-20 with total page 732 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : N Balakrishnan
Publisher : Springer Science & Business Media
ISBN 13 : 9780817639082
Total Pages : 602 pages
Book Rating : 4.6/5 (39 download)
Download or read book Advances in Combinatorial Methods and Applications to Probability and Statistics written by N Balakrishnan and published by Springer Science & Business Media. This book was released on 1997-05-01 with total page 602 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sri Gopal Mohanty has made pioneering contributions to lattice path counting and its applications to probability and statistics. This is clearly evident from his lifetime publications list and the numerous citations his publications have received over the past three decades. My association with him began in 1982 when I came to McMaster Univer sity. Since then, I have been associated with him on many different issues at professional as well as cultural levels; I have benefited greatly from him on both these grounds. I have enjoyed very much being his colleague in the statistics group here at McMaster University and also as his friend. While I admire him for his honesty, sincerity and dedication, I appreciate very much his kindness, modesty and broad-mindedness. Aside from our common interest in mathematics and statistics, we both have great love for Indian classical music and dance. We have spent numerous many different subjects associated with the Indian music and hours discussing dance. I still remember fondly the long drive (to Amherst, Massachusetts) I had a few years ago with him and his wife, Shantimayee, and all the hearty discussions we had during that journey. Combinatorics and applications of combinatorial methods in probability and statistics has become a very active and fertile area of research in the recent past.
Author : John P. Harnad
Publisher : American Mathematical Soc.
ISBN 13 : 0821870424
Total Pages : 387 pages
Book Rating : 4.8/5 (218 download)
Download or read book Groups and Symmetries written by John P. Harnad and published by American Mathematical Soc.. This book was released on with total page 387 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Magnus Rudolph Hestenes
Publisher :
ISBN 13 :
Total Pages : 208 pages
Book Rating : 4.E/5 ( download)
Download or read book NBS-INA, the Institute for Numerical Analysis, UCLA 1947-1954 written by Magnus Rudolph Hestenes and published by . This book was released on 1991 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Yu.I. Lyubich
Publisher : Springer Science & Business Media
ISBN 13 : 3662028492
Total Pages : 290 pages
Book Rating : 4.6/5 (62 download)
Download or read book Functional Analysis I written by Yu.I. Lyubich and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: The twentieth-century view of the analysis of functions is dominated by the study of classes of functions. This volume of the Encyclopaedia covers the origins, development and applications of linear functional analysis, explaining along the way how one is led naturally to the modern approach.
Author : N. Balakrishnan
Publisher : Springer Science & Business Media
ISBN 13 : 1461241405
Total Pages : 576 pages
Book Rating : 4.4/5 (612 download)
Download or read book Advances in Combinatorial Methods and Applications to Probability and Statistics written by N. Balakrishnan and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sri Gopal Mohanty has made pioneering contributions to lattice path counting and its applications to probability and statistics. This is clearly evident from his lifetime publications list and the numerous citations his publications have received over the past three decades. My association with him began in 1982 when I came to McMaster Univer sity. Since then, I have been associated with him on many different issues at professional as well as cultural levels; I have benefited greatly from him on both these grounds. I have enjoyed very much being his colleague in the statistics group here at McMaster University and also as his friend. While I admire him for his honesty, sincerity and dedication, I appreciate very much his kindness, modesty and broad-mindedness. Aside from our common interest in mathematics and statistics, we both have great love for Indian classical music and dance. We have spent numerous many different subjects associated with the Indian music and hours discussing dance. I still remember fondly the long drive (to Amherst, Massachusetts) I had a few years ago with him and his wife, Shantimayee, and all the hearty discussions we had during that journey. Combinatorics and applications of combinatorial methods in probability and statistics has become a very active and fertile area of research in the recent past.
Author : Sorin G. Gal
Publisher : Springer Science & Business Media
ISBN 13 : 1461470986
Total Pages : 206 pages
Book Rating : 4.4/5 (614 download)
Download or read book Overconvergence in Complex Approximation written by Sorin G. Gal and published by Springer Science & Business Media. This book was released on 2014-07-08 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph deals with the quantitative overconvergence phenomenon in complex approximation by various operators. The book is divided into three chapters. First, the results for the Schurer-Faber operator, Beta operators of first kind, Bernstein-Durrmeyer-type operators and Lorentz operator are presented. The main focus is on results for several q-Bernstein kind of operators with q > 1, when the geometric order of approximation 1/qn is obtained not only in complex compact disks but also in quaternion compact disks and in other compact subsets of the complex plane. The focus then shifts to quantitative overconvergence and convolution overconvergence results for the complex potentials generated by the Beta and Gamma Euler's functions. Finally quantitative overconvergence results for the most classical orthogonal expansions (of Chebyshev, Legendre, Hermite, Laguerre and Gegenbauer kinds) attached to vector-valued functions are presented. Each chapter concludes with a notes and open problems section, thus providing stimulation for further research. An extensive bibliography and index complete the text. This book is suitable for researchers and graduate students working in complex approximation and its applications, mathematical analysis and numerical analysis.
Author : Tobin A. Driscoll
Publisher : Cambridge University Press
ISBN 13 : 9781139433921
Total Pages : 154 pages
Book Rating : 4.4/5 (339 download)
Download or read book Schwarz-Christoffel Mapping written by Tobin A. Driscoll and published by Cambridge University Press. This book was released on 2002-06-20 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive look at the Schwarz-Christoffel transformation, including its history and foundations, practical computation, common and less common variations, and many applications in fields such as electromagnetism, fluid flow, design and inverse problems, and the solution of linear systems of equations. It is an accessible resource for engineers, scientists, and applied mathematicians who seek more experience with theoretical or computational conformal mapping techniques. The most important theoretical results are stated and proved, but the emphasis throughout remains on concrete understanding and implementation, as evidenced by the 76 figures based on quantitatively correct illustrative examples. There are over 150 classical and modern reference works cited for readers needing more details. There is also a brief appendix illustrating the use of the Schwarz-Christoffel Toolbox for MATLAB, a package for computation of these maps.
Author : HÄMMERLIN
Publisher : Birkhäuser
ISBN 13 : 3034863985
Total Pages : 338 pages
Book Rating : 4.0/5 (348 download)
Download or read book Numerical Integration III written by HÄMMERLIN and published by Birkhäuser. This book was released on 2013-12-14 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : A. Cuyt
Publisher : Springer Science & Business Media
ISBN 13 : 9789027726698
Total Pages : 486 pages
Book Rating : 4.7/5 (266 download)
Download or read book Nonlinear Numerical Methods and Rational Approximation written by A. Cuyt and published by Springer Science & Business Media. This book was released on 1988-01-31 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt: Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day, that they can't see the problem. perhaps you will find the final question. G. K. Chesterton. The Scandal of Father 'The Hermit Clad in Crane Feathers' in R. Brown 'The point of a Pin'. van Gu!ik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; use Stein spaces. And in addition to this there are and prediction and electrical engineering can such new emerging subdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.
Author : Leslie Hogben
Publisher : CRC Press
ISBN 13 : 1466507284
Total Pages : 1906 pages
Book Rating : 4.4/5 (665 download)
Download or read book Handbook of Linear Algebra, Second Edition written by Leslie Hogben and published by CRC Press. This book was released on 2013-11-26 with total page 1906 pages. Available in PDF, EPUB and Kindle. Book excerpt: With a substantial amount of new material, the Handbook of Linear Algebra, Second Edition provides comprehensive coverage of linear algebra concepts, applications, and computational software packages in an easy-to-use format. It guides you from the very elementary aspects of the subject to the frontiers of current research. Along with revisions and updates throughout, the second edition of this bestseller includes 20 new chapters. New to the Second Edition Separate chapters on Schur complements, additional types of canonical forms, tensors, matrix polynomials, matrix equations, special types of matrices, generalized inverses, matrices over finite fields, invariant subspaces, representations of quivers, and spectral sets New chapters on combinatorial matrix theory topics, such as tournaments, the minimum rank problem, and spectral graph theory, as well as numerical linear algebra topics, including algorithms for structured matrix computations, stability of structured matrix computations, and nonlinear eigenvalue problems More chapters on applications of linear algebra, including epidemiology and quantum error correction New chapter on using the free and open source software system Sage for linear algebra Additional sections in the chapters on sign pattern matrices and applications to geometry Conjectures and open problems in most chapters on advanced topics Highly praised as a valuable resource for anyone who uses linear algebra, the first edition covered virtually all aspects of linear algebra and its applications. This edition continues to encompass the fundamentals of linear algebra, combinatorial and numerical linear algebra, and applications of linear algebra to various disciplines while also covering up-to-date software packages for linear algebra computations.
Author : Pierre E. Cartier
Publisher : Springer Science & Business Media
ISBN 13 : 3540303081
Total Pages : 806 pages
Book Rating : 4.5/5 (43 download)
Download or read book Frontiers in Number Theory, Physics, and Geometry II written by Pierre E. Cartier and published by Springer Science & Business Media. This book was released on 2007-07-18 with total page 806 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ten years after a 1989 meeting of number theorists and physicists at the Centre de Physique des Houches, a second event focused on the broader interface of number theory, geometry, and physics. This book is the first of two volumes resulting from that meeting. Broken into three parts, it covers Conformal Field Theories, Discrete Groups, and Renormalization, offering extended versions of the lecture courses and shorter texts on special topics.
