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Pad Approximants

Author: George A. Baker
Publisher: Cambridge University Press
ISBN: 9780521450072
Size: 73.24 MB
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The first edition of this book was reviewed in 1982 as "the most extensive treatment of Pade approximants actually available." This second edition has been thoroughly updated, with a substantial new chapter on multiseries approximants. Applications to statistical mechanics and critical phenomena are extensively covered, and there are newly extended sections devoted to circuit design, matrix Pade approximation, and computational methods. This succinct and straightforward treatment will appeal to scientists, engineers, and mathematicians alike.

Modern Trends In Constructive Function Theory

Author: E. B. Saff
Publisher: American Mathematical Soc.
ISBN: 1470425343
Size: 36.21 MB
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This volume contains the proceedings of the conference Constructive Functions 2014, held from May 26-30, 2014, at Vanderbilt University, Nashville, TN, in honor of Ed Saff's 70th birthday. The papers in this volume contain results on polynomial approximation, rational approximation, Log-optimal configurations on the sphere, random continued fractions, ratio asymptotics for multiple orthogonal polynomials, the bivariate trigonometric moment problem, minimal Riesz energy, random polynomials, Pade and Hermite-Pade approximation, orthogonal expansions, hyperbolic differential equations, Bergman polynomials, the Meijer $G$-function, polynomial ensembles, and integer lattice points.

Modern Computer Algebra

Author: Joachim von zur Gathen
Publisher: Cambridge University Press
ISBN: 9780521826464
Size: 35.63 MB
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Successful advanced textbook and reference on computer algebra for computer scientists and mathematicians.

Computational Methods In Physics

Author: Simon Širca
Publisher: Springer
ISBN: 3319786199
Size: 41.42 MB
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This book is intended to help advanced undergraduate, graduate, and postdoctoral students in their daily work by offering them a compendium of numerical methods. The choice of methods pays significant attention to error estimates, stability and convergence issues, as well as optimization of program execution speeds. Numerous examples are given throughout the chapters, followed by comprehensive end-of-chapter problems with a more pronounced physics background, while less stress is given to the explanation of individual algorithms. The readers are encouraged to develop a certain amount of skepticism and scrutiny instead of blindly following readily available commercial tools. The second edition has been enriched by a chapter on inverse problems dealing with the solution of integral equations, inverse Sturm-Liouville problems, as well as retrospective and recovery problems for partial differential equations. The revised text now includes an introduction to sparse matrix methods, the solution of matrix equations, and pseudospectra of matrices; it discusses the sparse Fourier, non-uniform Fourier and discrete wavelet transformations, the basics of non-linear regression and the Kolmogorov-Smirnov test; it demonstrates the key concepts in solving stiff differential equations and the asymptotics of Sturm-Liouville eigenvalues and eigenfunctions. Among other updates, it also presents the techniques of state-space reconstruction, methods to calculate the matrix exponential, generate random permutations and compute stable derivatives.

Advanced Problems In Constructive Approximation

Author: Martin D. Buhmann
Publisher: Springer Science & Business Media
ISBN: 9783764366483
Size: 36.45 MB
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This volume contains refereed articles originating from the 3rd International Dortmund Meeting on Approximation Theory in Witten-Bommerholz. The contributors are renowned international experts in their individual fields of research, including, in particular, approximation methods, orthogonal polynomials, radial basis functions, multivariate spline approximation and interpolation, Pade approximation, polynomial approximation, and quasi-interpolation.

New Developments In Approximation Theory

Author: Manfred W. Müller
Publisher: Springer Science & Business Media
ISBN: 9783764361433
Size: 49.45 MB
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"This book contains refereed papers which were presented at the 2[superscript nd] International Dortmund Meeting on Approximation Theory (IDoMAT '98) at Haus Bommerholz, the conference center of Dortmund University, during the week of February 23-27, 1998. At this conference 50 researchers and specialists from Bulgaria, China, France, Great Britain, Hungary, Israel, Italy, Romania, South Africa and Germany participated and described new developments in the fields of univariate and multivariate approximation theory." "This research has applications in areas such as computer-aided geometric design, as applied in engineering and medical technology (e.g. computerized tomography)."--BOOK JACKET.Title Summary field provided by Blackwell North America, Inc. All Rights Reserved


Author: Henryk Minc
Publisher: Cambridge University Press
ISBN: 9780521302265
Size: 43.94 MB
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The purpose of this book, which was first published in 1978, is to give a complete account of the theory of permanents, their history and applications. This volume was the first complete account of the theory of permanents, covering virtually the whole of the subject, a feature that no simple survey of the theory of matrices can even attempt. The work also contains many results stated without formal proofs. This book can be used as a textbook at the advanced undergraduate or graduate level. The only prerequisites are a standard undergraduate course in the theory of matrices and a measure of mathematical maturity.

General Orthogonal Polynomials

Author: Herbert Stahl
Publisher: Cambridge University Press
ISBN: 9780521415347
Size: 59.75 MB
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An encyclopedic presentation of general orthogonal polynomials, placing emphasis on asymptotic behaviour and zero distribution.

Matroid Applications

Author: Neil White
Publisher: Cambridge University Press
ISBN: 9780521381659
Size: 29.21 MB
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This volume, the third in a sequence that began with The Theory of Matroids and Combinatorial Geometries, concentrates on the applications of matroid theory to a variety of topics from engineering (rigidity and scene analysis), combinatorics (graphs, lattices, codes and designs), topology and operations research (the greedy algorithm).