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Titlebook: Euclid—The Creation of Mathematics; Benno Artmann Book 1999 Springer-Verlag New York, Inc. 1999 Euclid.Euclid‘s elements.Geometry.Math.Vol

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发表于 2025-3-21 19:56:03 | 显示全部楼层 |阅读模式
书目名称Euclid—The Creation of Mathematics
编辑Benno Artmann
视频video
概述Euclid‘s treatment of mathematics and the presentation of its essential features has set the standard which remains today, and which every mathematician should know.Artmann reveals many pieces of beau
图书封面Titlebook: Euclid—The Creation of Mathematics;  Benno Artmann Book 1999 Springer-Verlag New York, Inc. 1999 Euclid.Euclid‘s elements.Geometry.Math.Vol
描述This book is for all lovers ofmathematics. It is an attempt to under­ stand the nature of mathematics from the point of view of its most important early source. Even if the material covered by Euclid may be considered ele­ mentary for the most part, the way in which he presents it has set the standard for more than two thousand years. Knowing Euclid‘s Elements may be ofthe same importance for a mathematician today as knowing Greek architecture is for an architect. Clearly, no con­ temporary architect will construct a Doric temple, let alone organize a construction site in the way the ancients did. But for the training ofan architect‘s aesthetic judgment, a knowledge ofthe Greek her­ itage is indispensable. I agree with Peter Hilton when he says that genuine mathematics constitutesone ofthe finest expressions ofthe human spirit, and I may add that here as in so many other instances, we have learned that language ofexpression from the Greeks. While presenting geometry and arithmetic Euclid teaches us es­ sential features of mathematics in a much more general sense. He displays the axiomatic foundation of a mathematical theory and its conscious development towards the solution of a sp
出版日期Book 1999
关键词Euclid; Euclid‘s elements; Geometry; Math; Volume; boundary element method; development; history of mathema
版次1
doihttps://doi.org/10.1007/978-1-4612-1412-0
isbn_softcover978-1-4612-7134-5
isbn_ebook978-1-4612-1412-0
copyrightSpringer-Verlag New York, Inc. 1999
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发表于 2025-3-21 21:05:42 | 显示全部楼层
The Origin of Mathematics 1: The Testimony of Eudemus,om about 350 to 300 b.c.e. He wrote a book on the history of mathematics, which has, however, been lost except for a few passages quoted by other authors. The following one was preserved in Proclus’s .. Proclus (410-485 c.e.) is writing about the origin and development of geometry, and the Eudemus p
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Euclid Book I: Basic Geometry,e modern authors, who do not pretend to know what a set is, Euclid wants to say what he is talking about, or to give some sort of description of the objects of geometry. He does this in the first group of definitions, 1-9.
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Euclid Book IV: Regular Polygons,ty is always tacitly assumed. Book IV follows a tight plan and has none of the subdivisions of some other books. We repeat what has been said in the section about the contents of the .. Four problems are treated systematically:
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Benno ArtmannEuclid‘s treatment of mathematics and the presentation of its essential features has set the standard which remains today, and which every mathematician should know.Artmann reveals many pieces of beau
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https://doi.org/10.1007/978-3-662-06578-5om about 350 to 300 b.c.e. He wrote a book on the history of mathematics, which has, however, been lost except for a few passages quoted by other authors. The following one was preserved in Proclus’s .. Proclus (410-485 c.e.) is writing about the origin and development of geometry, and the Eudemus passage starts with the second paragraph:
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