| 000 | 02630nam a22003738i 4500 | ||
|---|---|---|---|
| 001 | CR9781108553124 | ||
| 003 | UkCbUP | ||
| 005 | 20200124160341.0 | ||
| 006 | m|||||o||d|||||||| | ||
| 007 | cr|||||||||||| | ||
| 008 | 171009s2018||||enk o ||1 0|eng|d | ||
| 020 | _a9781108553124 (ebook) | ||
| 020 | _z9781108428590 (hardback) | ||
| 040 |
_aUkCbUP _beng _erda _cUkCbUP |
||
| 050 | 0 | 0 |
_aQC20.7.E88 _bC268 2018 |
| 082 | 0 | 0 |
_a530.1/55353 _223 |
| 100 | 1 |
_aCalogero, Francesco, _d1955- _eauthor. |
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| 245 | 1 | 0 |
_aZeros of polynomials and solvable nonlinear evolution equations / _cFrancesco Calogero. |
| 264 | 1 |
_aCambridge : _bCambridge University Press, _c2018. |
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| 300 |
_a1 online resource (x, 168 pages) : _bdigital, PDF file(s). |
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| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 500 | _aTitle from publisher's bibliographic system (viewed on 24 Sep 2018). | ||
| 505 | 0 | _aIntroduction -- 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. | |
| 520 | _aReporting 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. | ||
| 650 | 0 | _aEvolution equations, Nonlinear. | |
| 650 | 0 | _aZero (The number) | |
| 650 | 0 | _aPolynomials. | |
| 650 | 0 | _aDifferential equations, Partial. | |
| 650 | 0 | _aDifferential equations, Nonlinear. | |
| 776 | 0 | 8 |
_iPrint version: _z9781108428590 |
| 856 | 4 | 0 | _uhttps://doi.org/10.1017/9781108553124 |
| 999 |
_c523515 _d523513 |
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