Geometry, 2/e (Paperback)

David A Brannan

  • 出版商: Cambridge
  • 出版日期: 2011-12-22
  • 定價: $1,500
  • 售價: 9.5$1,425
  • 語言: 英文
  • 頁數: 602
  • 裝訂: Paperback
  • ISBN: 1107647835
  • ISBN-13: 9781107647831
  • 立即出貨 (庫存=1)

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商品描述

This richly illustrated and clearly written undergraduate textbook captures the excitement and beauty of geometry. The approach is that of Klein in his Erlangen programme: a geometry is a space together with a set of transformations of the space. The authors explore various geometries: affine, projective, inversive, hyperbolic and elliptic. In each case they carefully explain the key results and discuss the relationships between the geometries. New features in this second edition include concise end-of-chapter summaries to aid student revision, a list of further reading and a list of special symbols. The authors have also revised many of the end-of-chapter exercises to make them more challenging and to include some interesting new results. Full solutions to the 200 problems are included in the text, while complete solutions to all of the end-of-chapter exercises are available in a new Instructors' Manual, which can be downloaded from www.cambridge.org/9781107647831.

商品描述(中文翻譯)

這本豐富插圖且寫得清晰的本科教材捕捉到了幾何學的興奮和美感。其方法是基於克萊因在他的埃爾朗根計劃中提出的觀點:幾何學是一個空間以及該空間的一組變換。作者探索了各種幾何學:仿射、射影、反演、雙曲和橢圓。在每種情況下,他們仔細解釋了關鍵結果並討論了這些幾何學之間的關係。第二版的新特點包括簡潔的章末摘要,以幫助學生復習,進一步閱讀列表和特殊符號列表。作者還修改了許多章末練習,使它們更具挑戰性並包含一些有趣的新結果。全文提供了200個問題的解答,而所有章末練習的完整解答則可在新的教師手冊中找到,該手冊可從www.cambridge.org/9781107647831下載。