Integrable Systems and Algebraic Geometry: Volume 1
eBook - PDF

Integrable Systems and Algebraic Geometry: Volume 1

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

Integrable Systems and Algebraic Geometry: Volume 1

About this book

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.

Frequently asked questions

Yes, you can cancel anytime from the Subscription tab in your account settings on the Perlego website. Your subscription will stay active until the end of your current billing period. Learn how to cancel your subscription.
No, books cannot be downloaded as external files, such as PDFs, for use outside of Perlego. However, you can download books within the Perlego app for offline reading on mobile or tablet. Learn more here.
Perlego offers two plans: Essential and Complete
  • Essential is ideal for learners and professionals who enjoy exploring a wide range of subjects. Access the Essential Library with 800,000+ trusted titles and best-sellers across business, personal growth, and the humanities. Includes unlimited reading time and Standard Read Aloud voice.
  • Complete: Perfect for advanced learners and researchers needing full, unrestricted access. Unlock 1.4M+ books across hundreds of subjects, including academic and specialized titles. The Complete Plan also includes advanced features like Premium Read Aloud and Research Assistant.
Both plans are available with monthly, semester, or annual billing cycles.
We are an online textbook subscription service, where you can get access to an entire online library for less than the price of a single book per month. With over 1 million books across 1000+ topics, we’ve got you covered! Learn more here.
Look out for the read-aloud symbol on your next book to see if you can listen to it. The read-aloud tool reads text aloud for you, highlighting the text as it is being read. You can pause it, speed it up and slow it down. Learn more here.
Yes! You can use the Perlego app on both iOS or Android devices to read anytime, anywhere — even offline. Perfect for commutes or when you’re on the go.
Please note we cannot support devices running on iOS 13 and Android 7 or earlier. Learn more about using the app.
Yes, you can access Integrable Systems and Algebraic Geometry: Volume 1 by Ron Donagi,Tony Shaska in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematics General. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover
  2. Series information
  3. Title page
  4. Copyright information
  5. Contents of Volume 1
  6. Contents of Volume 2
  7. Integrable Systems: A Celebration of Emma Previato's 65th Birthday
  8. 1 Trace Ideal Properties of a Class of Integral Operators
  9. 2 Explicit Symmetries of the Kepler Hamiltonian
  10. 3 A Note on the Commutator of Hamiltonian Vector Fields
  11. 4 Nodal Curves and a Class of Solutions of the Lax Equation for Shock Clustering and Burgers Turbulence
  12. 5 Solvable Dynamical Systems in the Plane with Polynomial Interactions
  13. 6 The Projection Method in Classical Mechanics
  14. 7 Pencils of Quadrics, Billiard Double-Reflection and Confocal Incircular Nets
  15. 8 Bi-Flat F-Manifolds: A Survey
  16. 9 The Periodic 6-Particle Kac-van Moerbeke System
  17. 10 Integrable Mappings from a Unified Perspective
  18. 11 On an Arnold-Liouville Type Theorem for the Focusing NLS and the Focusing mKdV Equations
  19. 12 Commuting Hamiltonian Flows of Curves in Real Space Forms
  20. 13 The Kowalewski Top Revisited
  21. 14 The Calogero-Françoise Integrable System: Algebraic Geometry, Higgs Fields, and the Inverse Problem
  22. 15 Tropical Markov Dynamics and Cayley Cubic
  23. 16 Positive One–Point Commuting Difference Operators