Detailansicht
Algebraic Integrability, Painleve Geometry and Lie Algebras
Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge A Series of Modern Surveys in Mathematics 47, Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics 47
ISBN/EAN: 9783642061288
Umbreit-Nr.: 1566039
Sprache:
Englisch
Umfang: xii, 484 S.
Format in cm:
Einband:
kartoniertes Buch
Erschienen am 18.12.2010
Auflage: 1/2004
- Zusatztext
- In the early 70's and 80's the field of integrable systems was in its prime youth: results and ideas were mushrooming all over the world. It was during the roaring 70's and 80's that a first version of the book was born, based on our research and on lectures which each of us had given. We owe many ideas to our colleagues Teruhisa Matsusaka and David Mumford, and to our inspiring graduate students (Constantin Bechlivanidis, Luc Haine, Ahmed Lesfari, Andrew McDaniel, Luis Piovan and Pol Vanhaecke). As it stood, our first version lacked rigor and precision, was rough, dis connected and incomplete. In the early 90's new problems appeared on the horizon and the project came to a complete standstill, ultimately con fined to a floppy. A few years ago, under the impulse of Pol Vanhaecke, the project was revived and gained real momentum due to his insight, vision and determination. The leap from the old to the new version is gigantic. The book is designed as a teaching textbook and is aimed at a wide read ership of mathematicians and physicists, graduate students and professionals.
- Kurztext
- Aimed at a wide readership of mathematicians and physicists, graduate students and professionalsThe main thrust of the book is to show how algebraic geometry, Lie theory and Painlevé analysis can be used to explicitly solve integrable differential equations and to construct the algebraic tori on which they linearizeThe book is reasonably self-contained and presents numerous examplesIncludes supplementary material: sn.pub/extras