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عنوان
Zeros of polynomials and solvable nonlinear evolution equations /

پدید آورنده
Francesco Calogero (Sapienza University of Rome, retired).

موضوع
Differential equations, Nonlinear.,Differential equations, Partial.,Evolution equations, Nonlinear.,Polynomials.,Zero (The number),Differential equations, Nonlinear.,Differential equations, Partial.,Evolution equations, Nonlinear.,Polynomials.,SCIENCE-- Energy.,SCIENCE-- Mechanics-- General.,SCIENCE-- Physics-- General.,Zero (The number)

رده
QC20
.
7
.
E88
C268
2018

کتابخانه
Center and Library of Islamic Studies in European Languages

محل استقرار
استان: Qom ـ شهر: Qom

Center and Library of Islamic Studies in European Languages

تماس با کتابخانه : 32910706-025

INTERNATIONAL STANDARD BOOK NUMBER

(Number (ISBN
1108553125
(Number (ISBN
1108619088
(Number (ISBN
9781108553124
(Number (ISBN
9781108619080
Erroneous ISBN
1108428592
Erroneous ISBN
9781108428590

TITLE AND STATEMENT OF RESPONSIBILITY

Title Proper
Zeros of polynomials and solvable nonlinear evolution equations /
General Material Designation
[Book]
First Statement of Responsibility
Francesco Calogero (Sapienza University of Rome, retired).

.PUBLICATION, DISTRIBUTION, ETC

Place of Publication, Distribution, etc.
Cambridge :
Name of Publisher, Distributor, etc.
Cambridge University Press,
Date of Publication, Distribution, etc.
2018.

PHYSICAL DESCRIPTION

Specific Material Designation and Extent of Item
1 online resource

INTERNAL BIBLIOGRAPHIES/INDEXES NOTE

Text of Note
Includes bibliographical references.

CONTENTS NOTE

Text of Note
Introduction -- Parameter-dependent monic polynomials : definitions and key formulas -- 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.
0

SUMMARY OR ABSTRACT

Text of Note
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.

OTHER EDITION IN ANOTHER MEDIUM

Title
Zeros of polynomials and solvable nonlinear evolution equations.
International Standard Book Number
9781108428590

TOPICAL NAME USED AS SUBJECT

Differential equations, Nonlinear.
Differential equations, Partial.
Evolution equations, Nonlinear.
Polynomials.
Zero (The number)
Differential equations, Nonlinear.
Differential equations, Partial.
Evolution equations, Nonlinear.
Polynomials.
SCIENCE-- Energy.
SCIENCE-- Mechanics-- General.
SCIENCE-- Physics-- General.
Zero (The number)

(SUBJECT CATEGORY (Provisional

SCI-- 024000
SCI-- 041000
SCI-- 055000

DEWEY DECIMAL CLASSIFICATION

Number
530
.
1/55353
Edition
23

LIBRARY OF CONGRESS CLASSIFICATION

Class number
QC20
.
7
.
E88
Book number
C268
2018

PERSONAL NAME - PRIMARY RESPONSIBILITY

Calogero, Francesco,1955-

ORIGINATING SOURCE

Date of Transaction
20200822150932.0
Cataloguing Rules (Descriptive Conventions))
pn

ELECTRONIC LOCATION AND ACCESS

Electronic name
 مطالعه متن کتاب 

[Book]

Y

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