Principles of Geometry

Klappentext A benchmark study of projective geometry and the birational theory of surfaces, first published between 1922 and 1925. Zusammenfassung Henry Frederick Baker (1866â1956) was a renowned British mathematician specialising in algebraic geometry. First published between 1922 and 1925, this six-volume work provides a detailed insight into the geometry which was developing at the time of publication. Volume 6 describes the birational geometric theory of surfaces. Inhaltsverzeichnis 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.

Résumé
Henry Frederick Baker (18661956) was a renowned British mathematician specialising in algebraic geometry. First published between 1922 and 1925, this six-volume work provides a detailed insight into the geometry which was developing at the time of publication. Volume 6 describes the birational geometric theory of surfaces.

Contenu

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.