Integrable Systems and Algebraic Geometry: Volume 1 - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Integrable Systems and Algebraic Geometry: Volume 1 write by Ron Donagi. This book was released on 2020-04-02. Integrable Systems and Algebraic Geometry: Volume 1 available in PDF, EPUB and Kindle. 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.
Integrable Systems and Algebraic Geometry: Volume 2
Integrable Systems and Algebraic Geometry: Volume 2 - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Integrable Systems and Algebraic Geometry: Volume 2 write by Ron Donagi. This book was released on 2020-04-02. Integrable Systems and Algebraic Geometry: Volume 2 available in PDF, EPUB and Kindle. Created as a celebration of mathematical pioneer Emma Previato, this comprehensive second volume highlights the connections between her main fields of research, namely algebraic geometry and integrable systems. Written by leaders in the field, the text is accessible to graduate students and non-experts, as well as researchers.
Integrable Systems in the realm of Algebraic Geometry
Integrable Systems in the realm of Algebraic Geometry - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Integrable Systems in the realm of Algebraic Geometry write by Pol Vanhaecke. This book was released on 2013-11-11. Integrable Systems in the realm of Algebraic Geometry available in PDF, EPUB and Kindle. Integrable systems are related to algebraic geometry in many different ways. This book deals with some aspects of this relation, the main focus being on the algebraic geometry of the level manifolds of integrable systems and the construction of integrable systems, starting from algebraic geometric data. For a rigorous account of these matters, integrable systems are defined on affine algebraic varieties rather than on smooth manifolds. The exposition is self-contained and is accessible at the graduate level; in particular, prior knowledge of integrable systems is not assumed.
Algebraic Integrability, Painlevé Geometry and Lie Algebras
Algebraic Integrability, Painlevé Geometry and Lie Algebras - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Algebraic Integrability, Painlevé Geometry and Lie Algebras write by Mark Adler. This book was released on 2013-03-14. Algebraic Integrability, Painlevé Geometry and Lie Algebras available in PDF, EPUB and Kindle. This Ergebnisse volume is aimed at a wide readership of mathematicians and physicists, graduate students and professionals. The 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 construct the algebraic tori on which they linearize; at the same time, it is, for the student, a playing ground to applying algebraic geometry and Lie theory. The book is meant to be reasonably self-contained and presents numerous examples. The latter appear throughout the text to illustrate the ideas, and make up the core of the last part of the book. The first part of the book contains the basic tools from Lie groups, algebraic and differential geometry to understand the main topic.
Integrable Systems
Integrable Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Integrable Systems write by N.J. Hitchin. This book was released on 2013-03-14. Integrable Systems available in PDF, EPUB and Kindle. Designed to give graduate students an understanding of integrable systems via the study of Riemann surfaces, loop groups, and twistors, this book has its origins in a lecture series given by the internationally renowned authors. Written in an accessible, informal style, it fills a gap in the existing literature.
