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Pad Approximants

Author: George A. Baker
Publisher: Cambridge University Press
ISBN: 9780521450072
Size: 30.86 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 Computer Algebra

Author: Joachim von zur Gathen
Publisher: Cambridge University Press
ISBN: 9780521826464
Size: 26.51 MB
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Successful advanced textbook and reference on computer algebra for computer scientists and mathematicians.

Recent Advances In Orthogonal Polynomials Special Functions And Their Applications

Author: Jorge Arvesœ
Publisher: American Mathematical Soc.
ISBN: 0821868969
Size: 46.57 MB
Format: PDF
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This volume contains the proceedings of the 11th International Symposium on Orthogonal Polynomials, Special Functions, and their Applications, held August 29-September 2, 2011, at the Universidad Carlos III de Madrid in Leganes, Spain. The papers cover asymptotic properties of polynomials on curves of the complex plane, universality behavior of sequences of orthogonal polynomials for large classes of measures and its application in random matrix theory, the Riemann-Hilbert approach in the study of Pade approximation and asymptotics of orthogonal polynomials, quantum walks and CMV matrices, spectral modifications of linear functionals and their effect on the associated orthogonal polynomials, bivariate orthogonal polynomials, and optimal Riesz and logarithmic energy distribution of points. The methods used include potential theory, boundary values of analytic functions, Riemann-Hilbert analysis, and the steepest descent method.

Advanced Problems In Constructive Approximation

Author: Martin D. Buhmann
Publisher: Springer Science & Business Media
ISBN: 9783764366483
Size: 21.85 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: 17.89 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

Essays On The Future

Author: Siegfried S. Hecker
Publisher: Birkhauser
Size: 11.48 MB
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This collection represents a unique undertaking in scientific publishing to honor Nick Metropolis, the last survivor of the World War II Manhattan Project in Los Alamos. In this volume, some of the leading scientists and humanists of our time have contributed essays related to their respective disciplines, exploring various aspects of future developments in science and society, philosophy, national security, nuclear power, pure and applied mathematics, physics and biology, particle physics, computing, and information science.