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Titlebook: Lecture Notes on Elementary Topology and Geometry; I. M. Singer,J. A. Thorpe Textbook 1967 I. M. Singer and John A. Thorpe 1967 Algebraisc

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发表于 2025-3-21 19:01:19 | 显示全部楼层 |阅读模式
书目名称Lecture Notes on Elementary Topology and Geometry
编辑I. M. Singer,J. A. Thorpe
视频videohttp://file.papertrans.cn/584/583420/583420.mp4
丛书名称Undergraduate Texts in Mathematics
图书封面Titlebook: Lecture Notes on Elementary Topology and Geometry;  I. M. Singer,J. A. Thorpe Textbook 1967 I. M. Singer and John A. Thorpe 1967 Algebraisc
描述At the present time, the average undergraduate mathematics major finds mathematics heavily compartmentalized. After the calculus, he takes a course in analysis and a course in algebra. Depending upon his interests (or those of his department), he takes courses in special topics. Ifhe is exposed to topology, it is usually straightforward point set topology; if he is exposed to geom­ etry, it is usually classical differential geometry. The exciting revelations that there is some unity in mathematics, that fields overlap, that techniques of one field have applications in another, are denied the undergraduate. He must wait until he is well into graduate work to see interconnections, presumably because earlier he doesn‘t know enough. These notes are an attempt to break up this compartmentalization, at least in topology-geometry. What the student has learned in algebra and advanced calculus are used to prove some fairly deep results relating geometry, topol­ ogy, and group theory. (De Rham‘s theorem, the Gauss-Bonnet theorem for surfaces, the functorial relation of fundamental group to covering space, and surfaces of constant curvature as homogeneous spaces are the most note­ worthy exam
出版日期Textbook 1967
关键词Algebraische Topologie; CON_D030; Differentialgeometrie; Geometry; Topologie; Topology
版次1
doihttps://doi.org/10.1007/978-1-4615-7347-0
isbn_softcover978-1-4615-7349-4
isbn_ebook978-1-4615-7347-0Series ISSN 0172-6056 Series E-ISSN 2197-5604
issn_series 0172-6056
copyrightI. M. Singer and John A. Thorpe 1967
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发表于 2025-3-21 20:30:56 | 显示全部楼层
Homology theory and the De Rham theory, saw that the dimension of .(., .) measured the number of connected components of ., and we saw, at least for the circle . = ., that the dimension of H.(., .) measured the number of “holes” in .. We shall now develop similar groups for simplicial complexes. We shall study a sequence of maps . where
发表于 2025-3-22 00:29:46 | 显示全部楼层
le in case administration to make it difficult to contemplate the adoption of any single set of international rules and standards on exit policies in the near future. The need for a prior reform of national law to remedy the observed lack of convergence of national legislation accounts for the curre
发表于 2025-3-22 06:00:10 | 显示全部楼层
I. M. Singer,J. A. Thorpel be based primarily on an appraisal of the characteristics of the best-known example of such a regime that is currently operating — namely, that in New Zealand. The key feature of our proposals is that we advocate a rather more comprehensive approach to exposing banks to market pressures in order t
发表于 2025-3-22 11:41:08 | 显示全部楼层
I. M. Singer,J. A. Thorpeproducing processes. Mostly restricted to anaerobic environments, methanogens have also been detected in aerobic desertic soils, and their presence in extreme environments, such as hydrothermal vents, soda lakes, and Antarctic sediments, shows how ubiquitous and adapted they are to different environ
发表于 2025-3-22 13:57:45 | 显示全部楼层
I. M. Singer,J. A. Thorpeonmental sustainability is under concern especially for manure and carcass management, disposal, or treatment. The livestock production system has its own particularities for each rearing process, resulting in residues with different characteristics. News technologies for pre-treatment and treatment
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I. M. Singer,J. A. Thorpeerstand the local language. In these cases, our attitude is usually open and welcoming, we look for ways to build a bridge between them and us, to lessen any difficulties that might arise..But there is a community of people who are afraid of accessing the health system because they have suffered dis
发表于 2025-3-23 07:46:05 | 显示全部楼层
I. M. Singer,J. A. Thorpeers. All communication must be focused on saving lives and is, or should be, centralized to avoid confusion and overlapping efforts..These situations are all guided by protocols and we will analyze the most relevant ones..However, when it comes to chronic diseases, there is much less protocol, not b
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