{"product_id":"polynomial-operator-equations-in-abstract-spaces-and-applications-1","title":"Polynomial Operator Equations in Abstract Spaces and Applications","description":"\u003cp\u003ePolynomial 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. \u003cbr\u003ePolynomial 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.\u003cbr\u003eTopics include:\u003c\/p\u003e\u003cli\u003eSpecial cases of nonlinear operator equations\u003cbr\u003e \u003c\/li\u003e\u003cli\u003eSolution of polynomial operator equations of positive integer degree n\u003cbr\u003e \u003c\/li\u003e\u003cli\u003eResults on global existence theorems not related with contractions\u003cbr\u003e \u003c\/li\u003e\u003cli\u003eGalois theory\u003cbr\u003e \u003c\/li\u003e\u003cli\u003ePolynomial integral and polynomial differential equations appearing in radiative transfer, heat transfer, neutron transport, electromechanical networks, elasticity, and other areas\u003cbr\u003e \u003c\/li\u003e\u003cli\u003eResults on the various Chandrasekhar equations\u003cbr\u003e \u003c\/li\u003e\u003cli\u003eWeierstrass theorem\u003cbr\u003e \u003c\/li\u003e\u003cli\u003eMatrix representations\u003cbr\u003e \u003c\/li\u003e\u003cli\u003eLagrange and Hermite interpolation\u003cbr\u003e \u003c\/li\u003e\u003cli\u003eBounds of polynomial equations in Banach space, Banach algebra, and Hilbert space\u003cbr\u003eThe materials discussed can be used for the following studies\u003cbr\u003e \u003c\/li\u003e\u003cli\u003eAdvanced numerical analysis\u003cbr\u003e \u003c\/li\u003e\u003cli\u003eNumerical functional analysis\u003cbr\u003e \u003c\/li\u003e\u003cli\u003eFunctional analysis\u003cbr\u003e \u003c\/li\u003e\u003cli\u003eApproximation theory\u003cbr\u003e \u003c\/li\u003e\u003cli\u003eIntegral and differential equation\u003c\/li\u003e","brand":"Taylor \u0026 Francis Ltd","offers":[{"title":"Default Title","offer_id":54254434877784,"sku":"9780367447878","price":78.99,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0278\/1295\/4195\/files\/9780367447878.jpg?v=1770143438","url":"https:\/\/agendabookshop.com\/products\/polynomial-operator-equations-in-abstract-spaces-and-applications-1","provider":"Agenda Bookshop","version":"1.0","type":"link"}