Description
Condition
VERY GOOD: This book is very good condition, showing only slight signs of use and wear (slightly curved front cover corner and two pages that had been creased). It was printed on acid-free paper.
Product Details
This book is Volume 15 in the American Mathematical Society’s series Student Mathematical Library.
Also from the back cover: “The study of zeroes of polynomials, which are one variable in essentially algebraic, becomes a geometric theory for several variables. In this book Fischer looks at the classic entry point to the subject: plan algebraic curves. Here one quickly sees the mix of algebra and geometry, as sell as analysis and topology, that is typical of complex algebraic geometry. Concrete examples and figures are given throughout the book.”
Chapters
- Introduction
- Affine Algebraic Curves and Their Equations
- The Projective Closure
- Tangents and Singularities
- The Dual Curve and the Plücker Formulas
- The Ring of Convergent Power Series
- Parametrizing the Branches of a Curve by Puiseux Series
- Tangents and Intersection Multiplicities of Germs of Curves
- The Riemann Surface of an Algebraic Curve
Appendices
- The Resultant
- Covering Maps
- the Implicit Function Theorem
- The Newton Polygon
- A Numerical Invariant of Singularities of Curves
- Harnack’s Inequality
The book concludes with Bibliography, Subject Index, and List of Symbols.