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YULIJ ILYASHENKO

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Redna cena 67,92 €
Znižana cena 67,92 € Redna cena
Znižanje Razprodano

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Status dobavljivosti: Na zalogi pri dobavitelju

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ISBN

9780821836675

Mladinska knjiga ID

312826

Leto izida

2008

Velikost (šxdxv)

150 × 200 × 10

Status dobavljivosti

Na zalogi pri dobavitelju

Jezik

ANG

Založnik

OXFORD UNIVERSITY PRESS

Avtor

YULIJ ILYASHENKO

Opis

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 more recent results surveyed in the text. 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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