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Zeros of Polynomials and Solvable Nonlinear Evolution Equations

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Title: Zeros of Polynomials and Solvable Nonlinear Evolution Equations
Description: Reporting a novel breakthrough in the identification and investigation of solvable and integrable nonlinearly coupled evolution ordinary differential equations (ODEs) or partial differential equations (PDEs), this text includes practical examples throughout to illustrate the theoretical concepts. Beginning with systems of ODEs, including second-order ODEs of Newtonian type, it then discusses systems of PDEs, and systems evolving in discrete time. It reports a novel, differential algorithm which can be used to evaluate all the zeros of a generic polynomial of arbitrary degree: a remarkable development of a fundamental mathematical problem with a long history. The book will be of interest to applied mathematicians and mathematical physicists working in the area of integrable and solvable non-linear evolution equations; it can also be used as supplementary reading material for general applied mathematics or mathematical physics courses.
Authors: Francesco Calogero
Resource Type: eBook.
Subjects: Polynomials, Zero (The number), Evolution equations--Nonlinear, Differential equations--Nonlinear, Differential equations--Partial
Categories: SCIENCE / Physics / Mathematical & Computational
Database: eBook Collection (EBSCOhost)
FullText Links:
  – Type: ebook-pdf
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  Availability: 0
Header DbId: nlebk
DbLabel: eBook Collection (EBSCOhost)
An: 1813270
RelevancyScore: 1084
AccessLevel: 6
PubType: eBook
PubTypeId: ebook
PreciseRelevancyScore: 1083.55249023438
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  Label: Title
  Group: Ti
  Data: Zeros of Polynomials and Solvable Nonlinear Evolution Equations
– Name: Abstract
  Label: Description
  Group: Ab
  Data: Reporting a novel breakthrough in the identification and investigation of solvable and integrable nonlinearly coupled evolution ordinary differential equations (ODEs) or partial differential equations (PDEs), this text includes practical examples throughout to illustrate the theoretical concepts. Beginning with systems of ODEs, including second-order ODEs of Newtonian type, it then discusses systems of PDEs, and systems evolving in discrete time. It reports a novel, differential algorithm which can be used to evaluate all the zeros of a generic polynomial of arbitrary degree: a remarkable development of a fundamental mathematical problem with a long history. The book will be of interest to applied mathematicians and mathematical physicists working in the area of integrable and solvable non-linear evolution equations; it can also be used as supplementary reading material for general applied mathematics or mathematical physics courses.
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  Data: <searchLink fieldCode="AR" term="%22Francesco+Calogero%22">Francesco Calogero</searchLink>
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  Data: <searchLink fieldCode="DE" term="%22Polynomials%22">Polynomials</searchLink><br /><searchLink fieldCode="DE" term="%22Zero+%28The+number%29%22">Zero (The number)</searchLink><br /><searchLink fieldCode="DE" term="%22Evolution+equations--Nonlinear%22">Evolution equations--Nonlinear</searchLink><br /><searchLink fieldCode="DE" term="%22Differential+equations--Nonlinear%22">Differential equations--Nonlinear</searchLink><br /><searchLink fieldCode="DE" term="%22Differential+equations--Partial%22">Differential equations--Partial</searchLink>
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RecordInfo BibRecord:
  BibEntity:
    Classifications:
      – Code: 530.155353
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Polynomials
        Type: general
      – SubjectFull: Zero (The number)
        Type: general
      – SubjectFull: Evolution equations--Nonlinear
        Type: general
      – SubjectFull: Differential equations--Nonlinear
        Type: general
      – SubjectFull: Differential equations--Partial
        Type: general
    Titles:
      – TitleFull: Zeros of Polynomials and Solvable Nonlinear Evolution Equations
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Francesco Calogero
      – PersonEntity:
          Name:
            NameFull: Francesco Calogero
    IsPartOfRelationships:
      – BibEntity:
          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2018
            – D: 05
              M: 11
              Type: profile
              Y: 2018
          Identifiers:
            – Type: isbn-print
              Value: 9781108428590
            – Type: isbn-electronic
              Value: 9781108619080
          Titles:
            – TitleFull: Zeros of Polynomials and Solvable Nonlinear Evolution Equations
              Type: main
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