丸善のおすすめ度
Zeros of Polynomials and Solvable Nonlinear Evolution Equations '18
Calogero, Francesco
著
発行年月 |
2018年09月 |
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出版国 |
イギリス |
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言語 |
英語 |
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媒体 |
冊子 |
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装丁 |
hardcover |
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ページ数/巻数 |
176 p. |
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ジャンル |
洋書/理工学/数学/解析学 |
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ISBN |
9781108428590 |
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商品コード |
1026936454 |
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本の性格 |
学術書 |
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新刊案内掲載月 |
2018年10月 |
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商品URL
| https://kw.maruzen.co.jp/ims/itemDetail.html?itmCd=1026936454 |
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内容
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.