Lectures on Analytic Differential Equations

Released on by I︠U︡. S. Ilʹi︠a︡shenko
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  • Lectures on Analytic Differential Equations Book Detail

  • Author : I︠U︡. S. Ilʹi︠a︡shenko
  • Release Date : 2008
  • Publisher : American Mathematical Soc.
  • Genre : Mathematics
  • Pages : 641
  • ISBN 13 : 0821836676
  • File Size : 43,43 MB
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Lectures on Analytic Differential Equations by I︠U︡. S. Ilʹi︠a︡shenko PDF Summary

Book Description: The book combines the features of a graduate-level textbook with those of a research monograph and survey of the recent results on analysis and geometry of differential equations in the real and complex domain. As a graduate textbook, it includes self-contained, sometimes considerably simplified demonstrations of several fundamental results, which previously appeared only in journal publications (desingularization of planar analytic vector fields, existence of analytic separatrices, positive and negative results on the Riemann-Hilbert problem, Ecalle-Voronin and Martinet-Ramis moduli, solution of the Poincare problem on the degree of an algebraic separatrix, etc.). As a research monograph, it explores in a systematic way the algebraic decidability of local classification problems, rigidity of holomorphic foliations, etc. Each section ends with a collection of problems, partly intended to help the reader to gain understanding and experience with the material, partly drafting demonstrations of the mor The exposition of the book is mostly geometric, though the algebraic side of the constructions is also prominently featured. on several occasions the reader is introduced to adjacent areas, such as intersection theory for divisors on the projective plane or geometric theory of holomorphic vector bundles with meromorphic connections. The book provides the reader with the principal tools of the modern theory of analytic differential equations and intends to serve as a standard source for references in this area.

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Lectures on Analytic Differential Equations

Lectures on Analytic Differential Equations

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The book combines the features of a graduate-level textbook with those of a research monograph and survey of the recent results on analysis and geometry of diff

Lectures on p-adic Differential Equations

Lectures on p-adic Differential Equations

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The present work treats p-adic properties of solutions of the hypergeometric differential equation d2 d ~ ( x(l - x) dx + (c(l - x) + (c - 1 - a - b)x) dx - ab)

Lectures on Partial Differential Equations

Lectures on Partial Differential Equations

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Choice Outstanding Title! (January 2006) This richly illustrated text covers the Cauchy and Neumann problems for the classical linear equations of mathematical

Lectures on Analytic Differential Equations

Lectures on Analytic Differential Equations

File Size : 40,40 MB
Total View : 7684 Views
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Each section ends with a collection of problems, partly intended to help the reader to gain understanding and experience with the material, partly drafting demo