A Collection of Problems on the Equations of Mathematical Physics (1986)
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- Synopsis
- The extensive application of modern mathematical teehniques to theoretical and mathematical physics requires a fresh approach to the course of equations of mathematical physics. This is especially true with regards to such a fundamental concept as the 80lution of a boundary value problem. 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 be solved by applying elassical methods. To this end two new courses have been written at the Department of Higher Mathematics at the Moscow Physics anrl Technology Institute, namely, "Equations of Mathematical Physics" by V. S. Vladimirov and "Partial Differential Equations" by V. P. Mikhailov (both books have been translated into English by Mir Publishers, the first in 1984 and the second in 1978). The present collection of problems is based on these courses and amplifies them considerably. Besides the classical boundary value problems, we have ineluded a large number of boundary value problems that have only generalized solutions. Solution of these requires using the methods and results of various branches of modern analysis. For this reason we have ineluded problems in Lebesgue inĀ tegration, problems involving function spaces (especially spaces of generalized differentiable functions) and generalized functions (with Fourier and Laplace transforms), and integral equations.
- Copyright:
- 1986
Book Details
- Book Quality:
- Publisher Quality
- Book Size:
- 288 Pages
- ISBN-13:
- 9783662055588
- Related ISBNs:
- 9783540166474, 9783540166474
- Publisher:
- Springer Berlin Heidelberg
- Date of Addition:
- 06/13/22
- Copyrighted By:
- N/A
- Adult content:
- No
- Language:
- English
- Has Image Descriptions:
- No
- Categories:
- Nonfiction, Earth Sciences, Mathematics and Statistics
- Submitted By:
- Bookshare Staff
- Usage Restrictions:
- This is a copyrighted book.
- Edited by:
- Vasilij S. Vladimirov
- Translator:
- Eugene Yankovsky
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- by Eugene Yankovsky
- by Vasilij S. Vladimirov
- in Nonfiction
- in Earth Sciences
- in Mathematics and Statistics