Selected Papers Of Norman Levinson

Author : Norman Levinson
Publisher : Springer Science & Business Media
Page : 588 pages
File Size : 42,7 Mb
Release : 1998
Category : Mathematics
ISBN : 0817639799

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Selected of Norman Levinson by Norman Levinson Pdf

Norman Levinson (1912-1975) was a mathematician of international repute. This collection of his selected papers bears witness to the profound influence Levinson had on research in mathematical analysis with applications to problems in science and technology.

Author : J.A. Nohel,D.H. Sattinger,Gian-Carlo Rota
Publisher : Springer Science & Business Media
Page : 584 pages
File Size : 47,9 Mb
Release : 1997-12-18
Category : Mathematics
ISBN : 0817638628

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Selected Papers of Norman Levinson by J.A. Nohel,D.H. Sattinger,Gian-Carlo Rota Pdf

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.

Author : John Nohel,David Sattinger,G.-C. Rota
Publisher : Birkhäuser
Page : 536 pages
File Size : 55,8 Mb
Release : 1997-12-18
Category : Mathematics
ISBN : 0817639780

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Selected Works of Norman Levinson by John Nohel,David Sattinger,G.-C. Rota Pdf

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.

Author : John Nohel,David Sattinger,G.-C. Rota
Publisher : Birkhäuser
Page : 552 pages
File Size : 53,8 Mb
Release : 2011-10-12
Category : Mathematics
ISBN : 1461253373

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Selected Papers of Norman Levinson by John Nohel,David Sattinger,G.-C. Rota Pdf

Author : John Nohel,David Sattinger,G.-C. Rota
Publisher : Birkhäuser
Page : 0 pages
File Size : 51,5 Mb
Release : 1997
Category : Mathematics
ISBN : 1461253322

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Selected Works of Norman Levinson by John Nohel,David Sattinger,G.-C. Rota Pdf

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.

Author : J.A. Nohel,D.H. Sattinger,Gian-Carlo Rota
Publisher : Birkhäuser
Page : 0 pages
File Size : 55,7 Mb
Release : 2014-01-14
Category : Mathematics
ISBN : 1461253411

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Selected Papers of Norman Levinson by J.A. Nohel,D.H. Sattinger,Gian-Carlo Rota Pdf

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.

Author : Joel Segel
Publisher : CRC Press
Page : 330 pages
File Size : 50,6 Mb
Release : 2009-01-03
Category : Mathematics
ISBN : 9781439865415

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Recountings by Joel Segel Pdf

This book traces the history of the MIT Department of Mathematics-one of the most important mathematics departments in the world-through candid, in-depth, lively conversations with a select and diverse group of its senior members. The process reveals much about the motivation, path, and impact of research mathematicians in a society that owes so mu

Author : Chia-Chʻiao Lin
Publisher : World Scientific
Page : 1048 pages
File Size : 48,9 Mb
Release : 1987-01-01
Category : Astrophysics
ISBN : 9971503182

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Selected Papers of C.C. Lin by Chia-Chʻiao Lin Pdf

Author : Peter Duren,Lawrence Zalcman
Publisher : Springer Science & Business Media
Page : 572 pages
File Size : 54,9 Mb
Release : 2013-10-17
Category : Mathematics
ISBN : 9780817680855

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Menahem Max Schiffer: Selected Papers Volume 1 by Peter Duren,Lawrence Zalcman Pdf

This two volume set presents over 50 of the most groundbreaking contributions of Menahem M Schiffer. All of the reprints of Schiffer’s works herein have extensive annotation and invited commentaries, giving new clarity and insight into the impact and legacy of Schiffer's work. A complete bibliography and brief biography make this a rounded and invaluable reference.

Author : Lipman Bers
Publisher : American Mathematical Soc.
Page : 642 pages
File Size : 44,6 Mb
Release : 1998
Category : Mathematics
ISBN : 0821809970

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Selected Works of Lipman Bers by Lipman Bers Pdf

Author : J.S. Oliveira,G.-C. Rota
Publisher : Springer Science & Business Media
Page : 648 pages
File Size : 46,8 Mb
Release : 1987-01-01
Category : Science
ISBN : 0817631143

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Selected Papers on Algebra and Topology by Garrett Birkhoff by J.S. Oliveira,G.-C. Rota Pdf

The present volume of reprints are what I consider to be my most interesting and influential papers on algebra and topology. To tie them together, and to place them in context, I have supplemented them by a series of brief essays sketching their historieal background (as I see it). In addition to these I have listed some subsequent papers by others which have further developed some of my key ideas. The papers on universal algebra, lattice theory, and general topology collected in the present volume concern ideas which have become familiar to all working mathematicians. It may be helpful to make them readily accessible in one volume. I have tried in the introduction to each part to state the most significant features of ea ch paper reprinted there, and to indieate later developments. The background that shaped and stimulated my early work on universal algebra, lattice theory, and topology may be of some interest. As a Harvard undergraduate in 1928-32, I was encouraged to do independent reading and to write an original thesis. My tutorial reading included de la Vallee-Poussin's beautiful Cours d'Analyse Infinitesimale, Hausdorff's Grundzüge der Mengenlehre, and Frechet's Espaces Abstraits. In addition, I discovered Caratheodory's 1912 paper "Vber das lineare Mass von Punktmengen" and Hausdorff's 1919 paper on "Dimension und Ausseres Mass," and derived much inspiration from them. A fragment of my thesis, analyzing axiom systems for separable metrizable spaces, was later published [2]. * This background led to the work summarized in Part IV.

Author : Richard Kautz
Publisher : Oxford University Press
Page : 385 pages
File Size : 44,6 Mb
Release : 2011
Category : Mathematics
ISBN : 9780199594580

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Chaos by Richard Kautz Pdf

Chaos: The Science of Predictable Random Motion bridges the gap between introductions for the layman and college-level texts with an account of chaos theory based on elementary mathematics. It develops the science of dynamics in terms of small time steps, describes the phenomenon of chaos through simple examples, and concludes with a close look at a homoclinic tangle, the mathematical monster at the heart of chaos. The presentation is enhanced by numerousfigures, animations of chaotic motion (available on a companion CD), and biographical sketches of the pioneers of dynamics and chaos theory.

Author : Emil Wolf
Publisher : SPIE Press
Page : 542 pages
File Size : 51,6 Mb
Release : 2005
Category : Biography & Autobiography
ISBN : 0819454419

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Tribute to Emil Wolf by Emil Wolf Pdf

Wolf's contributions to optical physics go far beyond his co-writing, with Max Born, the classic Principles of Optics. He introduced spatial coherence, he was the first to describe Gabor's holography, and his work has served as the foundation of about 250 companies and corporate divisions in the English-speaking world. In these 23 essays, two of which are tributes to the life of Wolf, contributors consider aspects of his work such as the polarization of light, the electromagnetic theory of optical coherence, wave descriptions of optical measurements, holographic microscopy, optical physics and psychology, the Wolf effect and the Wolf shift, optical pathlength spectroscopy, the diffractive multifocal focusing effect, phase and information, holography, internal reflection tomography, and nano- optics. Annotation : 2004 Book News, Inc., Portland, OR (booknews.com).

Author : F. Alberto Grünbaum,Pierre van Moerbeke,Victor H. Moll
Publisher : Birkhäuser
Page : 418 pages
File Size : 51,5 Mb
Release : 2015-12-31
Category : Mathematics
ISBN : 9783319222370

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Henry P. McKean Jr. Selecta by F. Alberto Grünbaum,Pierre van Moerbeke,Victor H. Moll Pdf

This volume presents a selection of papers by Henry P. McKean, which illustrate the various areas in mathematics in which he has made seminal contributions. Topics covered include probability theory, integrable systems, geometry and financial mathematics. Each paper represents a contribution by Prof. McKean, either alone or together with other researchers, that has had a profound influence in the respective area.

Author : Hans Rademacher
Publisher : MIT Press
Page : 680 pages
File Size : 55,8 Mb
Release : 1974
Category : Business & Economics
ISBN : 0262070553

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Collected Papers of Hans Rademacher by Hans Rademacher Pdf

These two volumes contain all the papers published by Hans Rademacher, either alone or as joint author, essentially in chronological order. Included also are a collection of published abstracts, a number of papers that appeared in institutes and seminars but are only now being formally published, and several problems posed and/or solved by Rademacher. The editor has provided notes for each paper, offering comments and making corrections. He has also contributed a biographical sketch. The earlier papers are on real variables, measurability, convergence factors, and Euler summability of series. This phase of Rademacher's work culminates in a paper of 1922, in which he introduced the systems of orthogonal functions now known as the Rademacher functions. After this, a new period in Rademacher's career began, and his major effort was devoted to the theory of functions of a complex variable and number theory. Some of his most important contributions were made in these fields. He perfected the sieve method and used it skillfully in the study of algebraic number fields; he studied the additive prime number theory of these fields; he generalized Goldbach's Problem; and he began his work on the theory of the Riemann zeta function, modular functions, and Dedekind sums (now often&-and justly&-called Dedekind-Rademacher sums). To this period also becomes what has become known as the Rademacher-Brauer formula. Rademacher came to the United States as a refugee in 1934. In the years that followed, he obtained some of his most important results in connection with the Fourier coefficients of modular forms of positive dimensions. His general method may be considered a modification and improvement of the Hardy-Ramanujan-Littlewood circle method. He also published additional papers on Dedekind-Rademacher sums (with A. Whiteman), general number theory (with H. S. Zuckerman), and modular functions (also with Zuckerman). During the last decade of his life&-the 1960s&-he continued his work on these problems and devoted considerable attention to general analysis&-especially harmonic analysis&-and to analytic number theory. All of the papers in Volume I and ten of those in Volume II are in German. One paper is in Hungarian. The volumes are part of the MIT Press series Mathematicians of Our Time (Gian-Carlo Rota, general editor).