Principles Of Geometry

The Principles of Geometry is a six-volume work that was written by British mathematician Henry Frederick Baker. The work covers the projective geometry of space between two and five dimensions, as well as the birational theory of surfaces. The first four volumes of the work cover the projective geometry of space, while the last two volumes cover the birational theory of surfaces. The fifth volume of the work is specifically dedicated to the birational geometry of curves.

Henry Frederick Baker (1866-1956) was a renowned British mathematician specialising in algebraic geometry. He was elected a Fellow of the Royal Society in 1898 and appointed the Lowndean Professor of Astronomy and Geometry in the University of Cambridge in 1914. First published between 1922 and 1925, the six-volume Principles of Geometry was a synthesis of Baker's lecture series on geometry and was the first British work on geometry to use axiomatic methods without the use of co-ordinates. The first four volumes describe the projective geometry of space of between two and five dimensions, with the last two volumes reflecting Baker's later research interests in the birational theory of surfaces. The work as a whole provides a detailed insight into the geometry which was developing at the time of publication. This, the fifth volume, describes the birational geometry of curves.