期刊全称 | A Topological Aperitif | 影响因子2023 | David Jordan,Stephen Huggett | 视频video | http://file.papertrans.cn/143/142501/142501.mp4 | 发行地址 | Takes a new approach to the subject by choosing a geometrical rather than an algebraic or combinatorial approach.Contains many examples to develop the student‘s grasp of the subject and their ability | 图书封面 |  | 影响因子 | Topologyhasbeenreferredtoas“rubber-sheetgeometry”.Thenameisapt,for the subject is concerned with properties of an object that would be preserved, no matter how much it is stretched, squashed, or distorted, so long as it is not in any way torn apart or glued together. One’s ?rst reaction might be that such animprecise-soundingsubjectcouldhardlybepartofseriousmathematics,and wouldbeunlikelytohaveapplicationsbeyondtheamusementofsimpleparlour games. This reaction could hardly be further from the truth. Topology is one of the most important and broad-ranging disciplines of modern mathematics. It is a subject of great precision and of breadth of development. It has vastly many applications, some of great importance, ranging from particle physics to cosmology, and from hydrodynamics to algebra and number theory. It is also a subject of great beauty and depth. To appreciate something of this, it is not necessary to delve into the more obscure aspects of mathematical formalism. For topology is, at least initially, a very visual subject. Some of its concepts apply to spaces of large numbers of dimensions, and therefore do not easily submit to reasoning that depends upon direct pictorial repr | Pindex | Textbook 2009Latest edition |
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