Partial Differential Equations : : An Unhurried Introduction / / Vladimir A. Tolstykh.

This is a clear, rigorous and self-contained introduction to PDEs for a semester-based course on the topic. For the sake of smooth exposition, the book keeps the amount of applications to a minimum, focusing instead on the theoretical essentials and problem solving. The result is an agile compendium...

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Superior document:Title is part of eBook package: De Gruyter DG Ebook Package English 2020
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Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2020]
©2020
Year of Publication:2020
Language:English
Series:De Gruyter Textbook
Online Access:
Physical Description:1 online resource (X, 266 p.)
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Other title:Frontmatter --
Preface --
Contents --
1. Definition --
2. Change of variables in PDEs --
3. First-order linear equations --
4. First-order semilinear equations --
5. First-order quasilinear equations: vector fields --
6. First-order quasilinear equations: solution sets --
7. Method of characteristics for first-order quasilinear equations --
8. Second-order semilinear equations --
A. Appendix --
Bibliography --
Index
Summary:This is a clear, rigorous and self-contained introduction to PDEs for a semester-based course on the topic. For the sake of smooth exposition, the book keeps the amount of applications to a minimum, focusing instead on the theoretical essentials and problem solving. The result is an agile compendium of theorems and methods - the ideal companion for any student tackling PDEs for the first time. Vladimir Tolstykh is a professor of mathematics at Istanbul Arel University. He works in group theory and model-theoretic algebra. Dr. Tolstykh received his Ph.D. in Mathematics from the Ural Institute of Mathematics and Mechanics (Ekaterinburg (Russia) in 1992 and his Doctor of Science degree in Mathematics from the Sobolev Institute of Mathematics (Novosibirsk, Russia) in 2007.
Format:Mode of access: Internet via World Wide Web.
ISBN:9783110677256
9783110696288
9783110696271
9783110659061
9783110704716
9783110704518
9783110704846
9783110704662
DOI:10.1515/9783110677256
Access:restricted access
Hierarchical level:Monograph
Statement of Responsibility: Vladimir A. Tolstykh.