This volume is concerned with a detailed description of the canonical operator method  one of the asymptotic methods of linear mathematical physics. The book is, in fact, an extension and continuation of the authors' works [59], [60], [65]. The basic ideas are summarized in the Introduction. The book consists of two parts. In the first, the theory of the canonical operator is develop ed, whereas, in the second, many applications of the canonical operator method to concrete problems of mathematical physics are presented. The authors are pleased to express their deep gratitude to S. M. Tsidilin for his valuable comments. THE AUTHORS IX INTRODUCTION 1. Various problems of mathematical and theoretical physics involve partial differential equations with a small parameter at the highest derivative terms. For constructing approximate solutions of these equations, asymptotic methods have long been used. In recent decades there has been a renaissance period of the asymptotic methods of linear mathematical physics. The range of their applicability has expanded: the asymptotic methods have been not only continuously used in traditional branches of mathematical physics but also have had an essential impact on the development of the general theory of partial differential equations. It appeared recently that there is a unified approach to a number of problems which, at first sight, looked rather unrelated.
About Mikhail Vasil evich Fedor i uk, V. P Maslov
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Author  :  Mikhail Vasil evich Fedor i uk, V. P Maslov 
Publisher  :  D Reidel Publishing Co 
Data Published  :  
ISBN  :  9027712190 
EAN  :  9789027712196 
Format Book  :  PDF, Epub, DOCx, TXT 
Number of Pages  :  316 pages 
Age +  :  15 years 
Language  :  English 
Rating  : 
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