Description

Book Synopsis
The N-body problem has been investigated since Isaac Newton, however vast tracts of the problem remain open. Showcasing the vibrancy of the problem, this book describes four open questions and explores progress made over the last 20 years. After a comprehensive introduction, each chapter focuses on a different open question, highlighting how the stance taken and tools used vary greatly depending on the question. Progress on question one, ''Are the central configurations finite?'', uses tools from algebraic geometry. Two, ''Are there any stable periodic orbits?'', is dynamical and requires some understanding of the KAM theorem. The third, ''Is every braid realised?'', requires topology and variational methods. The final question, ''Does a scattered beam have a dense image?'', is quite new and formulating it precisely takes some effort. An excellent resource for students and researchers of mathematics, astronomy, and physics interested in exploring state-of-the-art techniques and perspectives on this classical problem.

Four Open Questions for the NBody Problem

    Product form

    A Hardback by Richard Montgomery

    £34.99

    Includes FREE delivery

    Order before 4pm today for delivery by Tue 1 Sep 2026.

    15 in stock

      Trusted by thousands of customers. See 2,385+ Customer Reviews

      View other formats and editions of Four Open Questions for the NBody Problem by Richard Montgomery

      Book details

      Publisher Cambridge University Press
      Published 10/31/2024
      ISBN-13 9781009200585
      978-1009200585
      ISBN-10 1009200585
      Also in:
      Mathematics Differential calculus and equations

      Description

      Book Synopsis
      The N-body problem has been investigated since Isaac Newton, however vast tracts of the problem remain open. Showcasing the vibrancy of the problem, this book describes four open questions and explores progress made over the last 20 years. After a comprehensive introduction, each chapter focuses on a different open question, highlighting how the stance taken and tools used vary greatly depending on the question. Progress on question one, ''Are the central configurations finite?'', uses tools from algebraic geometry. Two, ''Are there any stable periodic orbits?'', is dynamical and requires some understanding of the KAM theorem. The third, ''Is every braid realised?'', requires topology and variational methods. The final question, ''Does a scattered beam have a dense image?'', is quite new and formulating it precisely takes some effort. An excellent resource for students and researchers of mathematics, astronomy, and physics interested in exploring state-of-the-art techniques and perspectives on this classical problem.

      Recently viewed products

      © 2026 Book Curl

        • American Express
        • Apple Pay
        • Diners Club
        • Discover
        • Google Pay
        • Maestro
        • Mastercard
        • PayPal
        • Shop Pay
        • Union Pay
        • Visa

        Login

        Forgot your password?

        Don't have an account yet?
        Create account