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Lectures on Analytic Differential Equations. (Graduate studies in mathematics, vol.86) - Hardcover
Buch 71 von 190: Graduate Studies in Mathematics
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This graduate-level textbook includes features of research monographs and surveys of recent research on the analysis and geometry of differential equations in the real and complex domain. It covers normal forms and desingularization, including analytic differential equations in the complex domain, holomorphic foliations and their singularities, finitely generated groups of conformal germs, and desingularlization in the plane; singular points of planar analytic vector fields, including planar vector fields with characteristic trajectories, holonomy and first integrals, and complex separatrices of holomorphic foliations; the local and global theory of linear systems, including Riemann-Hilbert problems; functional moduli of analytic classifications of resonant germs and their applications, including complex saddles and saddle-nodes; and global properties of complex polynomial foliations. The authors provide a crash course on functions of several complex variables and elements of the theory of Riemann spaces. Annotation ©2008 Book News, Inc., Portland, OR (booknews.com)
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Lectures on Analytic Differential Equations
Verlag:
American Mathematical Society, US, 2007
ISBN 10: 0821836676
ISBN 13: 9780821836675
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Hardback. Zustand: New. 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. Bestandsnummer des Verkäufers LU-9780821836675
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Lectures on Analytic Differential Equations
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ISBN 13: 9780821836675
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Lectures on Analytic Differential Equations (Graduate Studies in Mathematics)
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American Mathematical Society, 2007
ISBN 10: 0821836676
ISBN 13: 9780821836675
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Zustand: New. Explores the algebraic decidability of local classification problems, and rigidity of holomorphic foliations. This work also discusses topics such as intersection theory for divisors on the projective plane or geometric theory of holomorphic vector bundles with meromorphic connections. Series: Graduate Studies in Mathematics. Num Pages: 625 pages, Illustrations. BIC Classification: PBKD; PBKJ; PBMW. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Weight in Grams: 1240. . 2007. Hardcover. . . . . Books ship from the US and Ireland. Bestandsnummer des Verkäufers V9780821836675
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Lectures on Analytic Differential Equations
Verlag:
American Mathematical Society, US, 2007
ISBN 10: 0821836676
ISBN 13: 9780821836675
Neu
Hardcover
Anbieter: Rarewaves.com UK, London, Vereinigtes Königreich
Verkäuferbewertung 5 von 5 Sternen
Hardback. Zustand: New. 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. Bestandsnummer des Verkäufers LU-9780821836675
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Lectures on Analytic Differential Equations (Graduate Studies in Mathematics)
Verlag:
American Mathematical Society, 2007
ISBN 10: 0821836676
ISBN 13: 9780821836675
Neu
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Zustand: New. Explores the algebraic decidability of local classification problems, and rigidity of holomorphic foliations. This work also discusses topics such as intersection theory for divisors on the projective plane or geometric theory of holomorphic vector bundles with meromorphic connections. Series: Graduate Studies in Mathematics. Num Pages: 625 pages, Illustrations. BIC Classification: PBKD; PBKJ; PBMW. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Weight in Grams: 1240. . 2007. Hardcover. . . . . Bestandsnummer des Verkäufers V9780821836675
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