Principles of Geometry: Volume 5 - Brossura

Baker, H. F.

 
9781108017817: Principles of Geometry: Volume 5

Sinossi

A benchmark study of projective geometry and the birational theory of surfaces, first published between 1922 and 1925.

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Descrizione del libro

Henry Frederick Baker (1866–1956) 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 5 describes the birational geometry of curves.

Contenuti

Preface; 1. Introductory account of rational and elliptic curves; 2. The elimination of the multiple points of a plane curve; 3. The branches of an algebraic curve. The order of a rational function. Abel's theorem; 4. The genus of a curve. Fundamentals of the theory of linear series; 5. The periods of algebraic integrals. Loops in a plane. Riemann surfaces; 6. The various kinds of algebraic integrals. Relations among periods; 7. The modular expression of rational functions and integrals; 8. Enumerative properties of curves; Index.

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