I. J. Schoenberg Selected Papers

I. J. Schoenberg Selected Papers PDF Author: Boor
Publisher: Springer Science & Business Media
ISBN: 1489904336
Category : Science
Languages : en
Pages : 445

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I. J. Schoenberg Selected Papers

I. J. Schoenberg Selected Papers PDF Author: Boor
Publisher: Springer Science & Business Media
ISBN: 1489904336
Category : Science
Languages : en
Pages : 445

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I. J. Schoenberg Selected Papers

I. J. Schoenberg Selected Papers PDF Author: Boor
Publisher: Birkhäuser
ISBN: 9781489904348
Category : Science
Languages : en
Pages : 441

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(1988).

(1988). PDF Author: I. J. Schoenberg
Publisher: Springer Science & Business Media
ISBN: 9780817634049
Category : Mathematics
Languages : en
Pages : 432

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Book Description
These seleeta contain 761 of the more than 2600 pages of 1. J. Schoenberg's published articles. The selection made and the grouping in which the papers are presented here reflect most strongly Schoenberg's wishes. The first volume of these seleeta is drawn from Schoenberg's remarkable work on Number Theory, Positive Definite Functions and Metric Geometry, Real and Complex Analysis, and on the Landau Problem. Schoenberg's fundamental papers on Total Pos itivity and Variation Diminution, on P6lya Frequency functions and sequences, and on Splines, especially Cardinal Splines, make up the second volume. In addition, various commentaries have been provided. Lettered references in these refer to items listed alphabetically at the end of each commentary. Numbered references refer to the list of Schoenberg's publications to be found in each volume. Those included in these seleeta are starred. It has been an honor to have been entrusted with the editorial work for these seleeta. I am grateful to the writers of the various commentaries for their illuminating contributions and to Richard Askey for solid advice.

Selected Papers of Norman Levinson

Selected Papers of Norman Levinson PDF Author: J.A. Nohel
Publisher: Springer Science & Business Media
ISBN: 9780817638627
Category : Mathematics
Languages : en
Pages : 584

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Book Description
The deep and original ideas of Norman Levinson have had a lasting impact on fields as diverse as differential & integral equations, harmonic, complex & stochas tic analysis, and analytic number theory during more than half a century. Yet, the extent of his contributions has not always been fully recognized in the mathematics community. For example, the horseshoe mapping constructed by Stephen Smale in 1960 played a central role in the development of the modern theory of dynami cal systems and chaos. The horseshoe map was directly stimulated by Levinson's research on forced periodic oscillations of the Van der Pol oscillator, and specifi cally by his seminal work initiated by Cartwright and Littlewood. In other topics, Levinson provided the foundation for a rigorous theory of singularly perturbed dif ferential equations. He also made fundamental contributions to inverse scattering theory by showing the connection between scattering data and spectral data, thus relating the famous Gel'fand-Levitan method to the inverse scattering problem for the Schrodinger equation. He was the first to analyze and make explicit use of wave functions, now widely known as the Jost functions. Near the end of his life, Levinson returned to research in analytic number theory and made profound progress on the resolution of the Riemann Hypothesis. Levinson's papers are typically tightly crafted and masterpieces of brevity and clarity. It is our hope that the publication of these selected papers will bring his mathematical ideas to the attention of the larger mathematical community.

I. J. Schoenberg Selected Papers

I. J. Schoenberg Selected Papers PDF Author: I. J. Schoenberg
Publisher: Birkhäuser
ISBN:
Category : Juvenile Nonfiction
Languages : en
Pages : 472

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Mathematics from Leningrad to Austin, Volume 2

Mathematics from Leningrad to Austin, Volume 2 PDF Author: Rudolph A. Lorentz
Publisher: Springer Science & Business Media
ISBN: 9780817639228
Category : Mathematics
Languages : en
Pages : 688

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Book Description
The works of George G. Lorentz, spanning more than 60 years, have played a significant role in the development and evolution of mathematical analysis. The papers presented in this volume represent a selection of his best works, along with commentary from his students and colleagues.

I.J. Schoenberg Selected Papers

I.J. Schoenberg Selected Papers PDF Author: C. de Boor
Publisher: Birkhäuser
ISBN: 9781461284116
Category : Science
Languages : en
Pages : 0

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Book Description
These seleeta contain 761 of the more than 2600 pages of 1. J. Schoenberg's published articles. The selection made and the grouping in which the papers are presented here reflect most strongly Schoenberg's wishes. The first volume of these seleeta is drawn from Schoenberg's remarkable work on Number Theory, Positive Definite Functions and Metric Geometry, Real and Complex Analysis, and on the Landau Problem. Schoenberg's fundamental papers on Total Pos itivity and Variation Diminution, on P6lya Frequency functions and sequences, and on Splines, especially Cardinal Splines, make up the second volume. In addition, various commentaries have been provided. Lettered references in these refer to items listed alphabetically at the end of each commentary. Numbered references refer to the list of Schoenberg's publications to be found in each volume. Those included in these seleeta are starred. It has been an honor to have been entrusted with the editorial work for these seleeta. I am grateful to the writers of the various commentaries for their illuminating contributions and to Richard Askey for solid advice.

Numerical Analysis: Historical Developments in the 20th Century

Numerical Analysis: Historical Developments in the 20th Century PDF Author: C. Brezinski
Publisher: Elsevier
ISBN: 0444598588
Category : Mathematics
Languages : en
Pages : 512

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Book Description
Numerical analysis has witnessed many significant developments in the 20th century. This book brings together 16 papers dealing with historical developments, survey papers and papers on recent trends in selected areas of numerical analysis, such as: approximation and interpolation, solution of linear systems and eigenvalue problems, iterative methods, quadrature rules, solution of ordinary-, partial- and integral equations. The papers are reprinted from the 7-volume project of the Journal of Computational and Applied Mathematics on '/homepage/sac/cam/na2000/index.htmlNumerical Analysis 2000'. An introductory survey paper deals with the history of the first courses on numerical analysis in several countries and with the landmarks in the development of important algorithms and concepts in the field.

Guide to Information Sources in Mathematics and Statistics

Guide to Information Sources in Mathematics and Statistics PDF Author: Martha A. Tucker
Publisher: Bloomsbury Publishing USA
ISBN: 0313053375
Category : Language Arts & Disciplines
Languages : en
Pages : 362

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Book Description
This book is a reference for librarians, mathematicians, and statisticians involved in college and research level mathematics and statistics in the 21st century. We are in a time of transition in scholarly communications in mathematics, practices which have changed little for a hundred years are giving way to new modes of accessing information. Where journals, books, indexes and catalogs were once the physical representation of a good mathematics library, shelves have given way to computers, and users are often accessing information from remote places. Part I is a historical survey of the past 15 years tracking this huge transition in scholarly communications in mathematics. Part II of the book is the bibliography of resources recommended to support the disciplines of mathematics and statistics. These are grouped by type of material. Publication dates range from the 1800's onwards. Hundreds of electronic resources-some online, both dynamic and static, some in fixed media, are listed among the paper resources. Amazingly a majority of listed electronic resources are free.

IsoGeometric Analysis: A New Paradigm in the Numerical Approximation of PDEs

IsoGeometric Analysis: A New Paradigm in the Numerical Approximation of PDEs PDF Author: Annalisa Buffa
Publisher: Springer
ISBN: 3319423096
Category : Mathematics
Languages : en
Pages : 203

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Book Description
Providing an introduction to isogeometric methods with a focus on their mathematical foundations, this book is composed of four chapters, each devoted to a topic of special interests for isogeometric methods and their theoretical understanding. It contains a tutorial on splines and generalizations that are used in CAD parametrizations, and gives an overview of geometric modeling techniques that can be used within the isogeometric approach, with a focus on non-tensor product splines. Finally, it presents the mathematical properties of isogeometric spaces and spline spaces for vector field approximations, and treats in detail an application of fundamental importance: the isogeometric simulation of a viscous incompressible flow. The contributions were written by Carla Manni and Hendrik Speelers, Vibeke Skytt and Tor Dokken, Lourenco Beirao da Veiga, Annalisa Buffa, Giancarlo Sangalli and Rafael Vazquez, and finally by John Evans and Thomas J.R. Hughes.