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A Differential Approach to Geometry 2014th ed. H 480 p. 13

Borceux, Francis  著

在庫状況 海外在庫有り  お届け予定日 1ヶ月  数量 冊 
価格 特価  \29,431(税込)         

発行年月 2013年11月
出版社/提供元
出版国 スイス
言語 英語
媒体 冊子
装丁 hardcover
ページ数/巻数 XVI, 452 p. 159 illus.
ジャンル 洋書/理工学/数学/幾何学
ISBN 9783319017358
商品コード 1013745502
本の性格 学生用
新刊案内掲載月 2013年10月
書評掲載誌 Choice 2014/10
商品URL
参照
https://kw.maruzen.co.jp/ims/itemDetail.html?itmCd=1013745502

内容

This book presents the classical theory of curves in the plane and three-dimensional space, and the classical theory of surfaces in three-dimensional space. It pays particular attention to the historical development of the theory and the preliminary approaches that support contemporary geometrical notions. It includes a chapter that lists a very wide scope of plane curves and their properties. The book approaches the threshold of algebraic topology, providing an integrated presentation fully accessible to undergraduate-level students. At the end of the 17th century, Newton and Leibniz developed differential calculus, thus making available the very wide range of differentiable functions, not just those constructed from polynomials. During the 18th century, Euler applied these ideas to establish what is still today the classical theory of most general curves and surfaces, largely used in engineering. Enter this fascinating world through amazing theorems and a wide supply of surprising examples. Reach the doors of algebraic topology by discovering just how an integer (= the Euler-Poincare characteristics) associated with a surface gives you a lot of interesting information on the shape of the surface. And penetrate the intriguing world of Riemannian geometry, the geometry that underlies the theory of relativity. The book is of interest to all those who teach classical differential geometry up to quite an advanced level. The chapter on Riemannian geometry is of great interest to those who have to "intuitively" introduce students to the highly technical nature of this branch of mathematics, in particular when preparing students for courses on relativity.

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