| Integrable Systems and Algebraic Geometry: Volume 1 Contributor(s): Donagi, Ron (Editor), Shaska, Tony (Editor) |
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ISBN: 1108715745 ISBN-13: 9781108715744 Publisher: Cambridge University Press OUR PRICE: $98.80 Product Type: Paperback - Other Formats Published: May 2020 |
| Additional Information |
| BISAC Categories: - Mathematics | Topology - General - Mathematics | Differential Equations - General |
| Dewey: 515.39 |
| LCCN: 2019035060 |
| Series: London Mathematical Society Lecture Note |
| Physical Information: 0.8" H x 6.4" W x 8.9" (1.20 lbs) 420 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: Created as a celebration of mathematical pioneer Emma Previato, this comprehensive book highlights the connections between algebraic geometry and integrable systems, differential equations, mathematical physics, and many other areas. The authors, many of whom have been at the forefront of research into these topics for the last decades, have all been influenced by Previato's research, as her collaborators, students, or colleagues. The diverse articles in the book demonstrate the wide scope of Previato's work and the inclusion of several survey and introductory articles makes the text accessible to graduate students and non-experts, as well as researchers. This first volume covers a wide range of areas related to integrable systems, often emphasizing the deep connections with algebraic geometry. Common themes include theta functions and Abelian varieties, Lax equations, integrable hierarchies, Hamiltonian flows and difference operators. These powerful tools are applied to spinning top, Hitchin, Painleve and many other notable special equations. |
Contributor Bio(s): Shaska, Tony: - Tony Shaska is Associate Professor in the Department of Mathematics at Oakland University, Michigan. He works in algebraic and arithmetic geometry with an emphasis on algebraic curves and their Jacobians, including arithmetic aspects. He is an active researcher and has edited many books including Computational Aspects of Algebraic Curves (2005), Advances in Coding Theory and Cryptography (2007), Advances on Superelliptic Curves and Their Applications (2015) and Algebraic Curves and Their Applications (2019). He has been Editor in Chief of the Albanian Journal of Mathematics since 2007.Donagi, Ron: - Ron Donagi is Professor of Mathematics and Physics at the University of Pennsylvania. He works in algebraic geometry and string theory, and is a Fellow of the American Mathematical Society. He has written and edited several books, including Integrable Systems and Quantum Groups (2009). |
