Lectures on Analytic Differential Equations (Graduate Studies in Mathematics)

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9780821836675: Lectures on Analytic Differential Equations (Graduate Studies in Mathematics)
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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 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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Yulij Ilyashenko, Sergei Yakovenko
Publicado por American Mathematical Society (2007)
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Descripción American Mathematical Society, 2007. Hardcover. Condición: New. Nº de ref. del artículo: DADAX0821836676

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Yulij Ilyashenko; Sergei Yakovenko
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Descripción American Mathematical Society, 2007. Hardcover. Condición: New. Brand new. Clean, unmarked pages. Fine binding and cover. Hardcover. Ships daily. Nº de ref. del artículo: 1502190031

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Yulij Ilyashenko; Sergei Yakovenko
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Descripción American Mathematical Society, United States, 2008. Hardback. Condición: New. Language: English . Brand New Book. 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. Nº de ref. del artículo: AAN9780821836675

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Yulij Ilyashenko, Sergei Yakovenko
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ISBN 10: 0821836676 ISBN 13: 9780821836675
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Descripción American Mathematical Society, United States, 2008. Hardback. Condición: New. Language: English . Brand New Book. 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. Nº de ref. del artículo: AAN9780821836675

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Yulij Ilyashenko
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Descripción American Mathematical Society. Hardback. Condición: New. New copy - Usually dispatched within 2 working days. Nº de ref. del artículo: B9780821836675

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Yulij Ilyashenko, Sergei Yakovenko
Publicado por American Mathematical Society (2007)
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Descripción American Mathematical Society, 2007. Hardcover. Condición: New. Never used!. Nº de ref. del artículo: P110821836676

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Yulij Ilyashenko
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Descripción American Mathematical Society, 2007. HRD. Condición: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Nº de ref. del artículo: CE-9780821836675

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Descripción American Mathematical Society, 2007. Hardback. Condición: NEW. 9780821836675 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. For all enquiries, please contact Herb Tandree Philosophy Books directly - customer service is our primary goal. Nº de ref. del artículo: HTANDREE01498071

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Ilyashenko, Yulij/ Yakovenko, Sergei
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Descripción Amer Mathematical Society, 2008. Hardcover. Condición: Brand New. illustrated edition. 625 pages. 10.00x7.00x1.50 inches. In Stock. Nº de ref. del artículo: __0821836676

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