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Zeros of polynomials and solvable nonlinear evolution equations

Author: Francesco Calogero
Publisher: Cambridge, United Kingdom ; New York, NY : Cambridge University Press, 2018. ©2018
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

Exploring a novel breakthrough in the identification and investigation of solvable and integrable nonlinearly coupled evolution ordinary differential equations (ODEs) or partial differential  Read more...

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Additional Physical Format: ebook version :
Document Type: Book
All Authors / Contributors: Francesco Calogero
ISBN: 9781108428590 1108428592
OCLC Number: 1027309812
Description: x, 168 pages ; 26 cm
Contents: Introduction --
Parameter-dependent monic polynomials : definitions, key formulas, and other preliminaries --
A differential algorithm to compute all the zeros of a generic polynomial --
Solvable and integrable nonlinear dynamical systems : mainly Newtonian N-body problems in the plane --
Solvable systems of nonlinear partial differential equations (PDEs) --
Generations of monic polynomials --
Discrete-time --
Outlook.
Responsibility: Francesco Calogero.

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'This concise book discusses the mathematical tools used to model complex phenomena via systems of nonlinear equations, which can be useful to describe many-body problems. Starting from a Read more...

 
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