Автор: A. N. Tikhonov, A. A. Samarskii Название: Equations of Mathematical Physics Издательство: Dover Publications Год: 2011 Серия: Dover Books on Physics ISBN: 978-0486664224 Язык: English Формат: djvu, pdf Размер: 37,7 mb Страниц: 800
The authors — two well-known Russian mathematicians — have focused on typical physical processes and the principal types of equations dealing with them. Special attention is paid throughout to mathematical formulation, rigorous solutions, and physical interpretation of the results obtained. Carefully chosen problems designed to promote technical skills are contained in each chapter, along with extremely useful appendixes that supply applications of solution methods described in the main text. At the end of the book, a helpful supplement discusses special functions, including spherical and cylindrical functions.
I. Classification of Partial Differential Equations II. Equations of the Hyperbolic Type III. Equations of the Parabolic Type IV. Equations of Elliptic Type V. Wave Propagation in Space VI. Heat Conduction in Space VII. Equations of Elliptic Type (Continuation)
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