
- 276 pages
- English
- ePUB (mobile friendly)
- Available on iOS & Android
About this book
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.
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Information
Table of contents
- Title Page
- Copyright
- Contents
- Preface
- 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
- Subject Index