Francis Borceux
eBook, PDF

A Differential Approach to Geometry (eBook, PDF)

Geometric Trilogy III

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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...

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