Analytical principles of the theory of curves
Author(s)
Bibliographic Information
Analytical principles of the theory of curves
(Cambridge library collection, Principles of geometry ; v. 5)
University Press, c2010
Available at 2 libraries
  Aomori
  Iwate
  Miyagi
  Akita
  Yamagata
  Fukushima
  Ibaraki
  Tochigi
  Gunma
  Saitama
  Chiba
  Tokyo
  Kanagawa
  Niigata
  Toyama
  Ishikawa
  Fukui
  Yamanashi
  Nagano
  Gifu
  Shizuoka
  Aichi
  Mie
  Shiga
  Kyoto
  Osaka
  Hyogo
  Nara
  Wakayama
  Tottori
  Shimane
  Okayama
  Hiroshima
  Yamaguchi
  Tokushima
  Kagawa
  Ehime
  Kochi
  Fukuoka
  Saga
  Nagasaki
  Kumamoto
  Oita
  Miyazaki
  Kagoshima
  Okinawa
  Korea
  China
  Thailand
  United Kingdom
  Germany
  Switzerland
  France
  Belgium
  Netherlands
  Sweden
  Norway
  United States of America
Note
Includes bibliographies and index
"This edition first published 1933. This digitally printed version 2010"-- T.p. verso
Description and Table of Contents
Description
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 fifth volume, describes the birational geometry of curves.
Table of Contents
- 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.
by "Nielsen BookData"