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Mathematical Physics II by Boris Dubrovin
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About this book :- This book is lecture notes on various topics in analytic theory of differential equations: Singular points of solutions to analytic differential equations; Monodromy of linear differential operators with rational coefficients. This book introduces some methods of global analysis which are useful in various problems of mathematical physics.
Book Detail :- This book has following details information. Title: Mathematical Physics II by Boris Dubrovin by NA Publisher: SISSA Series: eBooksDirectory Year: 2008 Pages: 78 Type: PDF Language: English ISBN-10 #: N\A ISBN-13 #: N\A Country: Pakistan License: N\A Get this book from Amazon
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Book Contents :- conver the following topics. Singular points of solutions to analytic differential equations - Differential equations in the complex domain: basic results - Analytic continuation of solutions. Movable and fixed singularities - Singularities for differential equations not resolved with respect to the derivative. Weierstrass elliptic function - Poincar´e method of small parameter - Method of small parameter applied to Painlev´e classification problem - Monodromy of linear differential operators with rational coefficients - Solutions to linear systems with rational coefficients: the local theory - Gauss equation and hypergeometric function
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