A History of Geometrical Methods (Dover Books on by Julian Lowell Coolidge

By Julian Lowell Coolidge

Full and authoritative, this background of the options for facing geometric questions starts with artificial geometry and its origins in Babylonian and Egyptian arithmetic; reports the contributions of China, Japan, India, and Greece; and discusses the non-Euclidean geometries. next sections hide algebraic geometry, beginning with the precursors and advancing to the nice awakening with Descartes; and differential geometry, from the early paintings of Huygens and Newton to projective and absolute differential geometry. The author's emphasis on proofs and notations, his comparisons among older and more recent tools, and his references to over six hundred basic and secondary resources make this booklet a useful reference. 1940 edition.

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