A Differential Approach to Geometry : Geometric Trilogy III

種類:

電子ブック

責任表示:

by Francis Borceux

出版情報:

Cham : Springer International Publishing : Imprint: Springer, 2014

著者名:

• Borceux, Francis
• SpringerLink (Online service)

ISBN:

9783319017365 [3319017365]    

注記:

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 door

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