Full and authoritative, this history of the techniques for dealing with geometric questions begins with synthetic geometry and its origins in Babylonian and Egyptian mathematics; reviews the contributions of China, Japan, India, and Greece; and discusses the non-Euclidean geometries. Subsequent sections cover algebraic geometry, starting with the precursors and advancing to the great awakening with Descartes; and differential geometry, from the early work of Huygens and Newton to projective and absolute differential geometry. The author's emphasis on proofs and notations, his comparisons between older and newer methods, and his references to over 600 primary and secondary sources make this book an invaluable reference. 1940 edition.Let a pencil of lines be projectively related to a pencil of conics. These will cut ... of the third order. But it is time to face frankly the question, do the methods of synthetic projective geometry ... What the writer really does is to use a few theorems from the general equation of degree n, and then ungratefully discard it. There isanbsp;...
|Title||:||A History of Geometrical Methods|
|Author||:||Julian Lowell Coolidge|
|Publisher||:||Courier Corporation - 2013-02-27|