| 书目名称 | Mathematical Structures of Nonlinear Science | | 副标题 | An Introduction | | 编辑 | Melvyn S. Berger | | 视频video | | | 丛书名称 | Nonlinear Topics in the Mathematical Sciences | | 图书封面 |  | | 描述 | This is the first volume of a series of books that will describe current advances and past accompli shments of mathemat i ca 1 aspects of nonlinear sCience taken in the broadest contexts. This subject has been studied for hundreds of years, yet it is the topic in whi ch a number of outstandi ng di scoveri es have been made in the past two decades. Clearly, this trend will continue. In fact, we believe some of the great scientific problems in this area will be clarified and perhaps resolved. One of the reasons for this development is the emerging new mathematical ideas of nonlinear science. It is clear that by looking at the mathematical structures themselves that underlie experiment and observation that new vistas of conceptual thinking lie at the foundation of the unexplored area in this field. To speak of specific examples, one notes that the whole area of bifurcation was rarely talked about in the early parts of this century, even though it was discussed mathematically by Poi ncare at the end of the ni neteenth century. I n another di rect ion, turbulence has been a key observation in fluid dynamics, yet it was only recently, in the past decade, that simple computer studies brou | | 出版日期 | Book 1990 | | 关键词 | bifurcation; calculus; calculus of variations; differential equation; dynamical systems; integrable syste | | 版次 | 1 | | doi | https://doi.org/10.1007/978-94-009-0579-5 | | isbn_softcover | 978-94-010-6748-5 | | isbn_ebook | 978-94-009-0579-5Series ISSN 0925-6660 | | issn_series | 0925-6660 | | copyright | Kluwer Academic Publishers 1990 |
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发表于 2025-3-21 16:50:55
