All Categories /
Science & Math /
Mathematics

Polynomial Operator Equations in Abstract Spaces and Applications: in Abstract Spaces and Applications

(8)
Polynomial Operator Equations in Abstract Spaces and Applications: in Abstract Spaces and Applications image
ISBN-10:

0849387027

ISBN-13:

9780849387029

Author(s): Argyros, Ioannis K.
Edition: 1
Released: Mar 25, 1998
Publisher: CRC-Press
Format: Hardcover, 586 pages
Related ISBN: 9780367447878
Find in Library

Description:

Polynomial operators are a natural generalization of linear operators. Equations in such operators are the linear space analog of ordinary polynomials in one or several variables over the fields of real or complex numbers. Such equations encompass a broad spectrum of applied problems including all linear equations. Often the polynomial nature of many nonlinear problems goes unrecognized by researchers. This is more likely due to the fact that polynomial operators - unlike polynomials in a single variable - have received little attention. Consequently, this comprehensive presentation is needed, benefiting those working in the field as well as those seeking information about specific results or techniques.
Polynomial Operator Equations in Abstract Spaces and Applications - an outgrowth of fifteen years of the author's research work - presents new and traditional results about polynomial equations as well as analyzes current iterative methods for their numerical solution in various general space settings.
Topics include:

  • Special cases of nonlinear operator equations
  • Solution of polynomial operator equations of positive integer degree n
  • Results on global existence theorems not related with contractions
  • Galois theory
  • Polynomial integral and polynomial differential equations appearing in radiative transfer, heat transfer, neutron transport, electromechanical networks, elasticity, and other areas
  • Results on the various Chandrasekhar equations
  • Weierstrass theorem
  • Matrix representations
  • Lagrange and Hermite interpolation
  • Bounds of polynomial equations in Banach space, Banach algebra, and Hilbert space
    The materials discussed can be used for the following studies
  • Advanced numerical analysis
  • Numerical functional analysis
  • Functional analysis
  • Approximation theory
  • Integral and differential equations
    Tables include
  • Numerical solutions for Chandrasekhar's equation I to VI
  • Error bounds comparison
  • Accelerations schemes I and II for Newton's method
  • Newton's method
  • Secant method
    The self-contained text thoroughly details results, adds exercises for each chapter, and includes several applications for the solution of integral and differential equations throughout every chapter.

    • Best prices to buy, sell, or rent ISBN 9780849387029

    ‌
    ‌
    ‌

    Frequently Asked Questions about Polynomial Operator Equations in Abstract Spaces and Applications: in Abstract Spaces and Applications

    You can buy the Polynomial Operator Equations in Abstract Spaces and Applications: in Abstract Spaces and Applications book at one of 20+ online bookstores with BookScouter, the website that helps find the best deal across the web. Currently, the best offer comes from ‌ and is $‌ for the ‌.

    The price for the book starts from $68.96 on Amazon and is available from 17 sellers at the moment.

    If you’re interested in selling back the Polynomial Operator Equations in Abstract Spaces and Applications: in Abstract Spaces and Applications book, you can always look up BookScouter for the best deal. BookScouter checks 30+ buyback vendors with a single search and gives you actual information on buyback pricing instantly.

    As for the Polynomial Operator Equations in Abstract Spaces and Applications: in Abstract Spaces and Applications book, the best buyback offer comes from ‌ and is $‌ for the book in good condition.‌

    ‌‌‌‌‌‌‌‌‌‌

    Not enough insights yet.

    Not enough insights yet.