Polynomial Operator Equations in Abstract Spaces and Applications.

Argyros, Ioannis K.:

ISBN 10: 0849387027 ISBN 13: 9780849387029

Editorial: Boca Raton, CRC, 1998

Idioma: Alem�n

Condici�n: Usado - Bueno Encuadernaci�n de tapa dura

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Descripci�n

573 Seiten. Oberer Schnitt leicht fleckig. Ansonsten (sehr) gut erhalten. 9780849387029 Sprache: Deutsch Gewicht in Gramm: 1200.

N� de ref. del art�culo 96915

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Detalles bibliogr�ficos

T�tulo

Polynomial Operator Equations in Abstract Spaces and Applications.

Editor

Boca Raton, CRC

Fecha de publicaci�n

1998

Idioma

Alem�n

ISBN 10

0849387027

ISBN 13

9780849387029

Encuadernaci�n

Hardcover/Pappeinband

Estado

Gut

Peso

1200 gramos

Cat�logos de vendedores

Mathematik, Physik, Astronomie

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Sinopsis

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.

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Argyros\, Ioannis K.

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Montag-Samstag: 10:00-20:00 Uhr Abk�rzungen: Abb. Abbildung(en) Aufl. Auflage Bll Blatt ber. berieben best. besto�en brosch Broschur Einbd Einband Ex. Exemplar fl. fleckig hrsg. herausgeben ill. Illustriert Ldr. Leder Ln. Leinen O Original, Ort o.J. ohne Jahr U Umschlag Pp Pappe, Pappband St. Stempel T. Titel Vs. Vorsatz Formate: 12� = 10-16 cm; 8� = 16-25 cm; 4 = 25-35 cm; 2 = Folio. Wenn nicht anders vermerkt, so handelt es sich immer um 8�.

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