Fritz John Collected Papers PDF Download

Author: J. Moser
Publisher: Springer Science & Business Media
ISBN: 9780817632670
Category : Science
Languages : en
Pages : 776

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Author: J. Moser
Publisher: Birkhäuser
ISBN: 9781461254140
Category : Science
Languages : en
Pages : 754

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Author: J. Moser
Publisher: Birkhäuser
ISBN: 9781461254089
Category : Science
Languages : en
Pages : 648

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Author: Fritz John
Publisher:
ISBN: 9783764332662
Category : Mathematics
Languages : en
Pages : 658

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Author: J.A. Nohel
Publisher: Springer Science & Business Media
ISBN: 9780817638627
Category : Mathematics
Languages : en
Pages : 584

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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.S. Oliveira
Publisher: Springer Science & Business Media
ISBN: 9780817631147
Category : Science
Languages : en
Pages : 648

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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: Rudolph A. Lorentz
Publisher: Springer Science & Business Media
ISBN: 9780817639228
Category : Mathematics
Languages : en
Pages : 688

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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.

Author: Fritz Kunkel
Publisher:
ISBN:
Category : Psychology
Languages : en
Pages : 424

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Author: Raoul Bott
Publisher: Springer Science & Business Media
ISBN: 9780817636487
Category : Mathematics
Languages : en
Pages : 524

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The Collected Papers of Raoul Bott are contained in five volumes, with each volume covering a different subject and each representing approximately a decade of Bott's work. The volumes are: Volume 1: Topology and Lie Groups (1950's) Volume 2: Differential Operators (1960's) Volume 3: Foliations (1970's) Volume 4: Mathematics Related to Physics (1980's) Volume 5: Completive Articles and Additional Biographic Material (1990's) Most of the papers in this volume deal with two physical-inspired themes: the Yang-Mills equations and the rigidity phenomena of vector bundles. It also contains Bott's own commentaries on a few of the papers, as well as a tribute by Clifford Taubes.

Author: Rosemary Schmalz
Publisher: American Mathematical Soc.
ISBN: 147045730X
Category : Mathematics
Languages : en
Pages : 307

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Moritz's 'Memorabilia Mathematica' inspired this work, but this one differs in that sources are limited to mathematicians of the 20th century. Useful to researchers to facilitate a literature search, to writers who want to emphasize or substantiate a point, and to teachers, students, and other readeres who will have their appetite for the subject whetted by the 83 quotes. -- Book News, Inc.