In this post we will see the book Partial Differential Equations by V. P. Mikhailov.

About the book:
This book has developed from courses of lectures given by the
author over a period of years to the students of the Moscow PhysicoTechnical
Institute. It is intended for the students having basic
knowledge of mathematical analysis, algebra and the theory of
ordinary differential equations to the extent of a university course.
Except Chapter I, where some general questions regarding partial
differential equations have been examined, the material has been
arranged so as to correspond to the basic types of equations. The
central role in the book is played by Chapter IV, the largest of all,
which discusses elliptic equations. Chapters V and VI are devoted
to the hyperbolic and parabolic equations.
The method used in this book for investigating the boundary value
problems and, partly, the Cauchy problem is based on the notion
of generalized solution which enables us to examine equations with
variable coefficients with the same ease as the simplest equations:
Poisson’s equation, wave equation and heat equation. Apart from
discussing the questions of existence and uniqueness of solutions of
the basic boundary value problems, considerable space has been
devoted to the approximate methods of solving these equations:
Ritz’s method in the case of elliptic equations and Galerkin’s
method for hyperbolic and parabolic equations.
The book was translated from the Russian by P. C. Sinha and was first published by Mir Publishers in 1978.
PDF | OCR | Cover | 600 dpi | Bookmarked | Paginated | 22.4 MB (15.6 MB Zipped) | 408 pages
(Note: IA file parameters maybe different.)








