[PDF] Michail Alekseevich Shubin eBook

Author : M.A. Shubin
Publisher : Springer Science & Business Media
Page : 296 pages
File Size : 27,88 MB
Release : 2011-06-28
Category : Mathematics
ISBN : 3642565794

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I had mixed feelings when I thought how I should prepare the book for the second edition. It was clear to me that I had to correct all mistakes and misprints that were found in the book during the life of the first edition. This was easy to do because the mistakes were mostly minor and easy to correct, and the misprints were not many. It was more difficult to decide whether I should update the book (or at least its bibliography) somehow. I decided that it did not need much of an updating. The main value of any good mathematical book is that it teaches its reader some language and some skills. It can not exhaust any substantial topic no matter how hard the author tried. Pseudodifferential operators became a language and a tool of analysis of partial differential equations long ago. Therefore it is meaningless to try to exhaust this topic. Here is an easy proof. As of July 3, 2000, MathSciNet (the database of the American Mathematical Society) in a few seconds found 3695 sources, among them 363 books, during its search for "pseudodifferential operator". (The search also led to finding 963 sources for "pseudo-differential operator" but I was unable to check how much the results ofthese two searches intersected). This means that the corresponding words appear either in the title or in the review published in Mathematical Reviews.

Author : Yvette Kosmann-Schwarzbach
Publisher : Springer Science & Business Media
Page : 211 pages
File Size : 26,98 MB
Release : 2010-11-17
Category : Mathematics
ISBN : 0387878688

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In 1915 and 1916 Emmy Noether was asked by Felix Klein and David Hilbert to assist them in understanding issues involved in any attempt to formulate a general theory of relativity, in particular the new ideas of Einstein. She was consulted particularly over the difficult issue of the form a law of conservation of energy could take in the new theory, and she succeeded brilliantly, finding two deep theorems. But between 1916 and 1950, the theorem was poorly understood and Noether's name disappeared almost entirely. People like Klein and Einstein did little more then mention her name in the various popular or historical accounts they wrote. Worse, earlier attempts which had been eclipsed by Noether's achievements were remembered, and sometimes figure in quick historical accounts of the time. This book carries a translation of Noether's original paper into English, and then describes the strange history of its reception and the responses to her work. Ultimately the theorems became decisive in a shift from basing fundamental physics on conservations laws to basing it on symmetries, or at the very least, in thoroughly explaining the connection between these two families of ideas. The real significance of this book is that it shows very clearly how long it took before mathematicians and physicists began to recognize the seminal importance of Noether's results. This book is thoroughly researched and provides careful documentation of the textbook literature. Kosmann-Schwarzbach has thus thrown considerable light on this slow dance in which the mathematical tools necessary to study symmetry properties and conservation laws were apparently provided long before the orchestra arrives and the party begins.

Author : Y. Eliashberg
Publisher : Springer Science & Business Media
Page : 444 pages
File Size : 44,83 MB
Release : 1995-08-29
Category : Gardening
ISBN : 9783764352608

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Contains 14 papers (originally published in Geometric and Functional Analysis, v.5, no.2, 1995) which give a broad overview of recent fundamental developments in modern geometry and related subjects. Among the topics are aspects of long-time behavior of solutions of nonlinear Hamiltonian evolution equations; Lagrangian intersections in contact geometry; and Selberg's eigenvalue conjecture. Includes an exceedingly brief biography (3pp.) and a list of Gromov's (b.1943) publications. No index. Annotation copyright by Book News, Inc., Portland, OR

Author : Daniel H. Shubin
Publisher : Algora Publishing
Page : 234 pages
File Size : 23,6 MB
Release : 2009
Category : Biography & Autobiography
ISBN : 0875866875

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Russia in its "time of troubles," 1598-1613, is the subject of prolific freelance writer Shubin's new book. The author describes this work as his translation and adaptation into English of a variety of famous works, which he actually lists, a welcome departure from the common practice of a number of best-selling popular histories, such as Henri Troyat's Ivan le Terrible (1982), which shamelessly raided the pages of famous historians like N.M. Karamzin with scarcely a nod. However, Shubin's method does not conform to the standards of professional history, and it raises obvious questions about intended readership. In addition, the lack of any but discursive or informative footnotes makes it difficult to know who is being translated and adapted. Actually, The "author" (if that is the proper term here) has arranged the material better than one would expect, and even made it useful for totally uninformed readers just setting out to explore the subject. However it would be so much better for beginners to turn to complete translations of Shubin's sources, a number of which long have been available from Academic International Press.

Author : Aleksandr Konstantinovich Voronskiĭ
Publisher : Mehring Books
Page : 555 pages
File Size : 46,13 MB
Release : 1998
Category : Communism and literature
ISBN : 0929087763

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Voronsky was an outstanding figure of post-revolutionary Soviet intellectual life, editor of the most important literary journal of the 1920s in the USSR and a supporter of Trotsky and the Left Opposition in the struggle against Stalinism. A defender of "fellow traveler" writes and an opponent of the Proletarian Culture movement, Voronsky was one of the authentic representatives of classical Marxism in the field of literary criticism in the twentieth century. He was executed by Stalin in 1937. Following Voronsky's "rehabilitation" in 1957, several of his writings were published in the USSR in heavily censored form. All cuts have been restored for this edition.

Author : Nikolaï Nikolski
Publisher : Cambridge University Press
Page : 453 pages
File Size : 32,7 MB
Release : 2020-01-02
Category : Mathematics
ISBN : 110719850X

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A friendly introduction to Toeplitz theory and its applications throughout modern functional analysis.

Author : M. A. Shubin
Publisher : Springer Verlag
Page : 216 pages
File Size : 29,97 MB
Release : 1991
Category : Mathematics
ISBN : 9783540520030

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Two general questions regarding partial differential equations are explored in detail in this volume of the Encyclopaedia. The first is the Cauchy problem, and its attendant question of well-posedness (or correctness). The authors address this question in the context of PDEs with constant coefficients and more general convolution equations in the first two chapters. The third chapter extends a number of these results to equations with variable coefficients. The second topic is the qualitative theory of second order linear PDEs, in particular, elliptic and parabolic equations. Thus, the second part of the book is primarily a look at the behavior of solutions of these equations. There are versions of the maximum principle, the Phragmen-Lindel]f theorem and Harnack's inequality discussed for both elliptic and parabolic equations. The book is intended for readers who are already familiar with the basic material in the theory of partial differential equations.

Author : Mikhail Aleksandrovich Shubin
Publisher : American Mathematical Soc.
Page : 223 pages
File Size : 16,72 MB
Release : 2011-02-10
Category : Mathematics
ISBN : 0821849484

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The papers in this volume cover important topics in spectral theory and geometric analysis such as resolutions of smooth group actions, spectral asymptotics, solutions of the Ginzburg-Landau equation, scattering theory, Riemann surfaces of infinite genus and tropical mathematics.