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 (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. Inhaltsverzeichnis 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.

Product details

• Authors: H. F. Baker, Baker H. F.
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Paperback / Softback
• Released: 31.10.2010
• EAN: 9781108017817
• ISBN: 978-1-108-01781-7
• No. of pages: 262
• Series: Cambridge Library Collection -; Cambridge Library Collection - Mathematics; Principles of Geometry 6 Volume Paperback Set
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Geometry; MATHEMATICS / Applied, MATHEMATICS / Geometry / General, geometry, Applied mathematics