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Invitation to Nonlinear Algebra(Graduate Studies in Mathematics Vol. 211) paper 226 p. 21
Michalek, Mateusz,
Sturmfels, Bernd
著
発行年月 |
2021年07月 |
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出版国 |
アメリカ合衆国 |
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言語 |
英語 |
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媒体 |
冊子 |
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装丁 |
paper |
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ページ数/巻数 |
226 p. |
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ジャンル |
洋書 |
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ISBN |
9781470465513 |
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商品コード |
1032992637 |
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本の性格 |
テキスト/学術書 |
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新刊案内掲載月 |
2021年06月 |
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商品URL
| https://kw.maruzen.co.jp/ims/itemDetail.html?itmCd=1032992637 |
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内容
Nonlinear algebra provides modern mathematical tools to address challenges arising in the sciences and engineering. It is useful everywhere, where polynomials appear: in particular, data and computational sciences, statistics, physics, optimization. The book offers an invitation to this broad and fast-developing area. It is not an extensive encyclopedia of known results, but rather a first introduction to the subject, allowing the reader to enter into more advanced topics. It was designed as the next step after linear algebra and well before abstract algebraic geometry. The book presents both classical topics--like the Nullstellensatz and primary decomposition--and more modern ones--like tropical geometry and semidefinite programming. The focus lies on interactions and applications. Each of the thirteen chapters introduces fundamental concepts. The book may be used for a one-semester course, and the over 200 exercises will help the readers to deepen their understanding of the subject.