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Focusing on the geometry of curves and surfaces, this book serves as an introductory resource for graduate students, reflecting years of teaching experience. It begins with twisted curves and introduces moving axes, linking to established methods by Darboux and Cesaro. The following chapters explore surface geometry using Gauss's approach, emphasizing differential equations without delving into algebraic treatments. It covers various surface types, applicability, and the recent Weingarten method, supplemented by numerous examples to enhance understanding and geometrical thinking.
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A Treatise On the Differential Geometry of Curves and Surfaces, Luther Pfahler Eisenhart
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- 2022
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