Principles of Geometry (Paperback)

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.