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.
Table of Contents
Preface; 1. Algebraic correspondence; 2. Schubert's calculus. Multiple correspondence; 3. Transformations and involutions for the most part in a plane; 4. Preliminary properties of surfaces in three and four dimensions; 5. Introduction to the theory of the invariants of birational transformation of a surface, particularly in space of three dimensions; 6. Surfaces and primals in four dimensions. Formulae for intersections; 7. Illustrative examples and particular theorems; Index.