Linear Differential Equations in the Complex Domain: Problems of Analytic Continuation
Book Details
Format
Paperback / Softback
Book Series
Translations of Mathematical Monographs
ISBN-10
0821846760
ISBN-13
9780821846766
Publisher
American Mathematical Society
Imprint
American Mathematical Society
Country of Manufacture
US
Country of Publication
GB
Publication Date
Jun 30th, 2008
Print length
267 Pages
Weight
516 grams
Ksh 25,400.00
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Explores some problems of linear ordinary differential equations in complex domains. This work discusses problems including the Riemann problem on the Riemann sphere, a characterization of regular singularities and a classification of meromorphic differential equations.
Research in differential equations is usually oriented toward explicit results and motivated by applications. Many clever methods have been discovered in this way, but, when problems of more fundamental difficulty arise, researchers must find something intrinsic in the mathematics itself in order to make progress. As research in topology, algebraic geometry, and functions of several complex variables have advanced, many methods useful in such fields were introduced into the study of differential equations.
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