Preface We would like to express our gratitude to all who helped with constructive comment to improve this book, our colleagues at the Department of Higher Mathematics at the Moscow Physics and Technology Institute, and especially T.F. Asterisks denote the more difficult problems.
Vladimirov equations of mathematical physics pdf series#
The book Is aimed at undergraduate and graduate students in the physical sciences, engineering, and applied mathematics who have taken the typical ‘‘methods" course that includes vector analysis, elementary complex variables, and an introduction to Fourier series and boundary value problems. For this reason we have included problems in Lebesgue integration, problems involving function spaces (especially spaces of generalized differentiable functions) and generalized functions (with Fourier and Laplace transforms), and integral equations. Solution of these requires using the methods and results of various branches of modern analysis. Besides the classical boundary value problems, we have included a large number of boundary value problems that have only generalized solutions.
The present collection of problems is based on these courses and amplifies Diem considerably. Mikhailov (both books have been translated Id to English by Mir Publishers, the first in 1984 and the second in 1978). Vladimirov and “Partial Differential Equations” by V.P. To this end two new courses have been written at the Department of High« Mathematics at the Moscow Physics and Technology Institute, namely, "Equations of Mathematical Physics" by V.S. The concept of a generalized solution considerably broadens the field of problems and enables solving from a unified position the most interesting problems that cannot bo solved by applying classical methods. This is especially true with regards to such a fundamental concept as the solution of a boundary value problem. Preface The extensive application of modern mathematical techniques to theoretical and mathematical physics requires a fresh approach to the course of equations of mathematical physics.
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