Seminar On Singularities Of Solutions Of Linear Partial Differential Equations
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Seminar On Singularities Of Solutions Of Linear Partial Differential Equations
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Author : George F. Oster
language : en
Publisher: Princeton University Press
Release Date : 1979-07-21
Seminar On Singularities Of Solutions Of Linear Partial Differential Equations written by George F. Oster and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979-07-21 with Mathematics categories.
Singularities of solutions of differential equations forms the common theme of these papers taken from a seminar held at the Institute for Advanced Study in Princeton in 1977-1978. While some of the lectures were devoted to the analysis of singularities, others focused on applications in spectral theory. As an introduction to the subject, this volume treats current research in the field in such a way that it can be studied with profit by the non-specialist.
Seminar On Singularities Of Solutions Of Linear Partial Differential Equations
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Author : R. James Milgram
language : en
Publisher:
Release Date : 1979
Seminar On Singularities Of Solutions Of Linear Partial Differential Equations written by R. James Milgram and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with categories.
Seminar On Singularities Of Solutions Of Linear Partial Differential Equations Am 91 Volume 91
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Author : Lars Hörmander
language : en
Publisher: Princeton University Press
Release Date : 2016-03-02
Seminar On Singularities Of Solutions Of Linear Partial Differential Equations Am 91 Volume 91 written by Lars Hörmander and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-03-02 with Mathematics categories.
Singularities of solutions of differential equations forms the common theme of these papers taken from a seminar held at the Institute for Advanced Study in Princeton in 1977-1978. While some of the lectures were devoted to the analysis of singularities, others focused on applications in spectral theory. As an introduction to the subject, this volume treats current research in the field in such a way that it can be studied with profit by the non-specialist.
Singularities Of Solutions Of Linear Partial Differential Equations
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Author :
language : en
Publisher:
Release Date : 1979
Singularities Of Solutions Of Linear Partial Differential Equations written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with categories.
Partial Differential Equations
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Author : Shiing-shen Chern
language : en
Publisher: Springer
Release Date : 2006-11-14
Partial Differential Equations written by Shiing-shen Chern and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
The volume contains a selection of papers presented at the 7th Symposium on differential geometry and differential equations (DD7) held at the Nankai Institute of Mathematics, Tianjin, China, in 1986. Most of the contributions are original research papers on topics including elliptic equations, hyperbolic equations, evolution equations, non-linear equations from differential geometry and mechanics, micro-local analysis.
Fields Medallists Lectures
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Author : Michael Atiyah
language : en
Publisher: World Scientific
Release Date : 1997-10-13
Fields Medallists Lectures written by Michael Atiyah and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-10-13 with Mathematics categories.
Although the Fields Medal does not have the same public recognition as the Nobel Prizes, they share a similar intellectual standing. It is restricted to one field - that of mathematics - and an age limit of 40 has become an accepted tradition. Mathematics has in the main been interpreted as pure mathematics, and this is not so unreasonable since major contributions in some applied areas can be (and have been) recognized with Nobel Prizes. The restriction to 40 years is of marginal significance, since most mathematicians have made their mark long before this age.A list of Fields Medallists and their contributions provides a bird's eye view of mathematics over the past 60 years. It highlights the areas in which, at various times, greatest progress has been made. This volume does not pretend to be comprehensive, nor is it a historical document. On the other hand, it presents contributions from 22 Fields Medallists and so provides a highly interesting and varied picture.The contributions themselves represent the choice of the individual Medallists. In some cases the articles relate directly to the work for which the Fields Medals were awarded. In other cases new articles have been produced which relate to more current interests of the Medallists. This indicates that while Fields Medallists must be under 40 at the time of the award, their mathematical development goes well past this age. In fact the age limit of 40 was chosen so that young mathematicians would be encouraged in their future work.The Fields Medallists' Lectures is now available on CD-ROM. Sections can be accessed at the touch of a button, and similar topics grouped together using advanced keyword searches.
Introduction To Pseudodifferential And Fourier Integral Operators
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Author : Jean-François Treves
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-11
Introduction To Pseudodifferential And Fourier Integral Operators written by Jean-François Treves and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-11 with Mathematics categories.
I have tried in this book to describe those aspects of pseudodifferential and Fourier integral operator theory whose usefulness seems proven and which, from the viewpoint of organization and "presentability," appear to have stabilized. Since, in my opinion, the main justification for studying these operators is pragmatic, much attention has been paid to explaining their handling and to giving examples of their use. Thus the theoretical chapters usually begin with a section in which the construction of special solutions of linear partial differential equations is carried out, constructions from which the subsequent theory has emerged and which continue to motivate it: parametrices of elliptic equations in Chapter I (introducing pseudodifferen tial operators of type 1, 0, which here are called standard), of hypoelliptic equations in Chapter IV (devoted to pseudodifferential operators of type p, 8), fundamental solutions of strongly hyperbolic Cauchy problems in Chap ter VI (which introduces, from a "naive" standpoint, Fourier integral operators), and of certain nonhyperbolic forward Cauchy problems in Chapter X (Fourier integral operators with complex phase). Several chapters-II, III, IX, XI, and XII-are devoted entirely to applications. Chapter II provides all the facts about pseudodifferential operators needed in the proof of the Atiyah-Singer index theorem, then goes on to present part of the results of A. Calderon on uniqueness in the Cauchy problem, and ends with a new proof (due to J. J. Kohn) of the celebrated sum-of-squares theorem of L. Hormander, a proof that beautifully demon strates the advantages of using pseudodifferential operators.
Canadian Journal Of Mathematics
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Author :
language : en
Publisher:
Release Date : 1980-04
Canadian Journal Of Mathematics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980-04 with categories.
The Analysis Of Linear Partial Differential Operators I
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Author : Lars Hörmander
language : en
Publisher: Springer
Release Date : 2015-03-30
The Analysis Of Linear Partial Differential Operators I written by Lars Hörmander and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-03-30 with Mathematics categories.
The main change in this edition is the inclusion of exercises with answers and hints. This is meant to emphasize that this volume has been written as a general course in modern analysis on a graduate student level and not only as the beginning of a specialized course in partial differen tial equations. In particular, it could also serve as an introduction to harmonic analysis. Exercises are given primarily to the sections of gen eral interest; there are none to the last two chapters. Most of the exercises are just routine problems meant to give some familiarity with standard use of the tools introduced in the text. Others are extensions of the theory presented there. As a rule rather complete though brief solutions are then given in the answers and hints. To a large extent the exercises have been taken over from courses or examinations given by Anders Melin or myself at the University of Lund. I am grateful to Anders Melin for letting me use the problems originating from him and fornumerous valuable comments on this collection. As in the revised printing of Volume II, a number of minor flaws have also been corrected in this edition. Many of these have been called to my attention by the Russian translators of the first edition, and I wish to thank them for our excellent collaboration.
On Knots
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Author : Louis H. Kauffman
language : en
Publisher: Princeton University Press
Release Date : 1987
On Knots written by Louis H. Kauffman and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Mathematics categories.
On Knots is a journey through the theory of knots, starting from the simplest combinatorial ideas--ideas arising from the representation of weaving patterns. From this beginning, topological invariants are constructed directly: first linking numbers, then the Conway polynomial and skein theory. This paves the way for later discussion of the recently discovered Jones and generalized polynomials. The central chapter, Chapter Six, is a miscellany of topics and recreations. Here the reader will find the quaternions and the belt trick, a devilish rope trick, Alhambra mosaics, Fibonacci trees, the topology of DNA, and the author's geometric interpretation of the generalized Jones Polynomial. Then come branched covering spaces, the Alexander polynomial, signature theorems, the work of Casson and Gordon on slice knots, and a chapter on knots and algebraic singularities.The book concludes with an appendix about generalized polynomials.