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Selected Works of S.L. Sobolev

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 (1908-1989) 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)

Table of contents (40 chapters)
  • Application of the Theory of Plane Waves to the Lamb Problem

    Pages 3-44

    Sobolev, S. L.

  • On a New Method in the Plane Problem on Elastic Vibrations

    Pages 45-80

    Smirnov, V. I. (et al.)

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

    Pages 81-129

    Smirnov, V. I. (et al.)

  • On Vibrations of a Half-Plane and a Layer with Arbitrary Initial Conditions

    Pages 131-167

    Sobolev, S. L.

  • On a New Method of Solving Problems about Propagation of Vibrations

    Pages 169-193

    Sobolev, S. L.

Buy this book

eBook $149.00
price for USA in USD
  • ISBN 978-0-387-34149-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $199.99
price for USA in USD
  • ISBN 978-0-387-34148-4
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
Softcover $199.99
price for USA in USD
  • ISBN 978-1-4419-4163-3
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
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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
Springer-Verlag US
eBook ISBN
978-0-387-34149-1
DOI
10.1007/978-0-387-34149-1
Hardcover ISBN
978-0-387-34148-4
Softcover ISBN
978-1-4419-4163-3
Edition Number
1
Number of Pages
XXVIII, 604
Number of Illustrations
20 b/w illustrations
Topics

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