Differential Geometry of Curves and Surfaces: Revised and Updated Second Edition (Paperback)
暫譯: 曲線與曲面的微分幾何：修訂與更新第二版（平裝本）

Manfredo P. do Carmo

Differential Geometry of Curves and Surfaces: Revised and Updated Second Edition (Paperback)

買這商品的人也買了...

商品描述

One of the most widely used texts in its field, this volume introduces the differential geometry of curves and surfaces in both local and global aspects. The presentation departs from the traditional approach with its more extensive use of elementary linear algebra and its emphasis on basic geometrical facts rather than machinery or random details. Many examples and exercises enhance the clear, well-written exposition, along with hints and answers to some of the problems.
The treatment begins with a chapter on curves, followed by explorations of regular surfaces, the geometry of the Gauss map, the intrinsic geometry of surfaces, and global differential geometry. Suitable for advanced undergraduates and graduate students of mathematics, this text's prerequisites include an undergraduate course in linear algebra and some familiarity with the calculus of several variables. For this second edition, the author has corrected, revised, and updated the entire volume.

商品描述(中文翻譯)

本書是該領域中最廣泛使用的教材之一，介紹了曲線和曲面的微分幾何，涵蓋了局部和全球的各個方面。這本書的呈現方式不同於傳統方法，更加廣泛地使用了基礎線性代數，並強調基本幾何事實，而非機械或隨機細節。許多範例和習題增強了清晰且寫得很好的闡述，並附有一些問題的提示和答案。

本書的內容從曲線的章節開始，接著探討正則曲面、高斯映射的幾何、曲面的內在幾何以及全球微分幾何。適合高年級本科生和研究生的數學課程，該書的先修課程包括線性代數的本科課程以及對多變數微積分的基本了解。在這第二版中，作者已對整本書進行了修正、修訂和更新。

類似商品

最後瀏覽商品 (19)