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Titlebook: Worlds Out of Nothing; A Course in the Hist Jeremy Gray Textbook 20071st edition Springer-Verlag London 2007

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發(fā)表于 2025-3-21 19:51:35 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Worlds Out of Nothing
副標題A Course in the Hist
編輯Jeremy Gray
視頻videohttp://file.papertrans.cn/1032/1031227/1031227.mp4
概述The first book to provide a course on the history of geometry in the 19th century.A comprehensive resource with full background material and selections and translations from original sources.Provides
叢書名稱Springer Undergraduate Mathematics Series
圖書封面Titlebook: Worlds Out of Nothing; A Course in the Hist Jeremy Gray Textbook 20071st edition Springer-Verlag London 2007
描述.Based on the latest historical research, Worlds Out of Nothing is the first book to provide a course on the history of geometry in the 19th century. Topics covered in the first part of the book are projective geometry, especially the concept of duality, and non-Euclidean geometry. The book then moves on to the study of the singular points of algebraic curves (Plücker’s equations) and their role in resolving a paradox in the theory of duality; to Riemann’s work on differential geometry; and to Beltrami’s role in successfully establishing non-Euclidean geometry as a rigorous mathematical subject. The final part of the book considers how projective geometry rose to prominence, and looks at Poincaré’s ideas about non-Euclidean geometry and their physical and philosophical significance. ..Three chapters are devoted to writing and assessing work in the history of mathematics, with examples of sample questions in the subject, advice on how to write essays, and comments on what instructors should be looking for..
出版日期Textbook 20071st edition
版次1
doihttps://doi.org/10.1007/978-1-84628-633-9
issn_series 1615-2085
copyrightSpringer-Verlag London 2007
The information of publication is updating

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nts, ultrasound technology may offer advantages, such as environmentally friendly, low costs, compact and others. The application of ultrasound technology for environmental remediation is still in developing stage but it is growing rapidly and holds a promising future as one of the leading “green” technologies for environmental remediation.
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d values have decayed,?and selfish behavior started to rise. In many ways modern Chinese society?is much?more open than in the past?but at the same?is looking for a new set of?moral standards and norms.??
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es later, and helping brand the nation around the globe.. Many council members wanted to grow their businesses and the system of free enterprise capitalism around the globe before World War II, and the image of the Iron Curtain descending upon the world’s markets preventing that growth gave new urgency to their goals.
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of spatial literary theory, in particular in the ways that diasporic topophrenia—understood as an anxious place-mindedness and desire for a sort of imaginative cartography—troubles the sense of place that colors geocritical studies.
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Theorems in Projective Geometry,carried out. This method of reduction is the key idea in projective geometry, and in that way we shall begin our study of the subject. Towards the end of the section we shall work our way back to Poncelet and see what he required of projective geometry.
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Riemann: Geometry and Physics,ch subjects. He was always inclined to the conceptual side of things, rather than the computational or algorithmic. His written German is scholarly and old-fashioned — Victorian, one might say — and his Latin (required for academic purposes) is no easier.
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