FREE delivery to all EXCLUSIVE BOOKS stores nationwide. FREE delivery to your door on all orders over R450. Excludes all international deliveries.

Inverse Problems in the Theory of Small Oscillations

Vladimir Marchenko
    Product form
      FORMAT: Hardback
      YOU COULD EARN 0 FUTURE RETAIL DISCOUNTS.

      This product is either out of print or out of stock. Add it to your wishlist and we will automatically let you know if it comes back into stock. Add to Wishlist

      ESTIMATED DELIVERY: Possibly out of print
      BUY NOW PAY LATER
      From R 0.00 per month!
      3x monthly payments of R 0.00 with
      4x fortnightly payments of R 0.00 with

      This product is either out of print or out of stock. Add it to your wishlist and we will automatically let you know if it comes back into stock. Add to Wishlist

      Inverse problems of spectral analysis deal with the reconstruction of operators of the specified form in Hilbert or Banach spaces from certain of their spectral characteristics. An interest in spectral problems was initially inspired by quantum mechanics. The main inverse spectral problems have been solved already for Schrodinger operators and for their finite-difference analogues, Jacobi matrices.This book treats inverse problems in the theory of small oscillations of systems with finitely many degrees of freedom, which requires finding the potential energy of a system from the observations of its oscillations. Since oscillations are small, the potential energy is given by a positive definite quadratic form whose matrix is called the matrix of potential energy. Hence, the problem is to find a matrix belonging to the class of all positive definite matrices. This is the main difference between inverse problems studied in this book and the inverse problems for discrete analogues of the Schrodinger operators, where only the class of tridiagonal Hermitian matrices are considered.
      Format: Hardback CONTRIBUTORS: Vladimir Marchenko EAN: 9781470448905 COUNTRY: United States PAGES: WEIGHT: 0 g HEIGHT: 254 cm
      PUBLISHED BY: American Mathematical Society DATE PUBLISHED: 2018-12-01 CITY: GENRE: MATHEMATICS / Matrices WIDTH: 178 cm SPINE:

      Book Themes:

      Calculus and mathematical analysis, Differential calculus and equations

      Customer Reviews

      Be the first to write a review
      0%
      (0)
      0%
      (0)
      0%
      (0)
      0%
      (0)
      0%
      (0)
      Vladimir Marchenko, National Academy of Sciences of Ukraine, Kharkiv, Ukraine.Victor Slavin, National Academy of Sciences of Ukraine, Kharkiv, Ukraine.
      Inverse problems of spectral analysis deal with the reconstruction of operators of the specified form in Hilbert or Banach spaces from certain of their spectral characteristics. An interest in spectral problems was initially inspired by quantum mechanics. The main inverse spectral problems have been solved already for Schrodinger operators and for their finite-difference analogues, Jacobi matrices.This book treats inverse problems in the theory of small oscillations of systems with finitely many degrees of freedom, which requires finding the potential energy of a system from the observations of its oscillations. Since oscillations are small, the potential energy is given by a positive definite quadratic form whose matrix is called the matrix of potential energy. Hence, the problem is to find a matrix belonging to the class of all positive definite matrices. This is the main difference between inverse problems studied in this book and the inverse problems for discrete analogues of the Schrodinger operators, where only the class of tridiagonal Hermitian matrices are considered.
      Format: Hardback CONTRIBUTORS: Vladimir Marchenko EAN: 9781470448905 COUNTRY: United States PAGES: WEIGHT: 0 g HEIGHT: 254 cm
      PUBLISHED BY: American Mathematical Society DATE PUBLISHED: 2018-12-01 CITY: GENRE: MATHEMATICS / Matrices WIDTH: 178 cm SPINE:

      Book Themes:

      Calculus and mathematical analysis, Differential calculus and equations

      Customer Reviews

      Be the first to write a review
      0%
      (0)
      0%
      (0)
      0%
      (0)
      0%
      (0)
      0%
      (0)
      Vladimir Marchenko, National Academy of Sciences of Ukraine, Kharkiv, Ukraine.Victor Slavin, National Academy of Sciences of Ukraine, Kharkiv, Ukraine.

      Recently viewed products

      Login

      Forgot your password?

      Don't have an account yet?
      Create account