Principles of Geometry
Principles of Geometry by H. F. Baker, published by Cambridge University Press on October 31, 2010, is a significant work in the field of mathematics, specifically focusing on geometry. This edition spans 324 pages and presents a synthesis of Baker’s lecture series, originally published between 1922 and 1925. It is notable for being the first British work on geometry to employ axiomatic methods without the use of coordinates, offering a unique perspective on the subject.
In this comprehensive volume, readers will find an exploration of projective geometry across dimensions two to five, alongside insights into Baker’s later research in birational theory. The sixth volume specifically delves into the birational geometric theory of surfaces, reflecting the advancements in geometry during Baker’s time. This work serves as an important resource for those interested in the historical and philosophical aspects of mathematics, as well as topology and geometry.
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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 sixth and final volume, describes the birational geometric theory of surfaces.
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