Selected Works of S.L. Sobolev
Volume I: Equations of Mathematical Physics, Computational Mathematics, and Cubature Formulas
Editors: Demidenko, Gennadii V., Vaskevich, Vladimir (Eds.)
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 About this book

S.L. Sobolev (1908–1989) was a great mathematician of the twentieth century. His selected works included in this volume laid the foundations for intensive development of the modern theory of partial differential equations and equations of mathematical physics, and they were a gold mine for new directions of functional analysis and computational mathematics.
The topics covered in this volume include Sobolev’s fundamental works on equations of mathematical physics, computational mathematics, and cubature formulas. Some of the articles are generally unknown to mathematicians because they were published in journals that are difficult to access.
Audience
This book is intended for mathematicians, especially those interested in mechanics and physics, and graduate and postgraduate students in mathematics and physics departments.
 Reviews

From the reviews:
"Even I, who know very little about partial differential equations and related mathematics, recognize the name of S.L. Sobolev (19081989) as one of the most influential contributors to the field in the 20th century. This book is the first volume of his ‘selected works’ … . There is no question that all good research libraries will want to have a copy of this one." (Fernando Q. Gouvêa, Math DL, October, 2006)
 Table of contents (40 chapters)


Application of the Theory of Plane Waves to the Lamb Problem
Pages 344

On a New Method in the Plane Problem on Elastic Vibrations
Pages 4580

On Application of a New Method to Study Elastic Vibrations in a Space with Axial Symmetry
Pages 81129

On Vibrations of a HalfPlane and a Layer with Arbitrary Initial Conditions
Pages 131167

On a New Method of Solving Problems about Propagation of Vibrations
Pages 169193

Table of contents (40 chapters)
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Bibliographic Information
 Bibliographic Information

 Book Title
 Selected Works of S.L. Sobolev
 Book Subtitle
 Volume I: Equations of Mathematical Physics, Computational Mathematics, and Cubature Formulas
 Editors

 Gennadii V. Demidenko
 Vladimir Vaskevich
 Copyright
 2006
 Publisher
 Springer US
 Copyright Holder
 SpringerVerlag US
 eBook ISBN
 9780387341491
 DOI
 10.1007/9780387341491
 Hardcover ISBN
 9780387341484
 Softcover ISBN
 9781441941633
 Edition Number
 1
 Number of Pages
 XXVIII, 604
 Number of Illustrations
 20 b/w illustrations
 Topics
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