Plane algebraic curves / Gerd Fischer ; translated by Leslie Kay.
| Author/creator | Fischer, Gerd, 1939- |
| Format | Book |
| Publication Info | Providence, R.I. : American Mathematical Society, ©2001. |
| Description | xv, 231 pages : illustrations ; 22 cm. |
| Subjects |
| Uniform title | Ebene algebraische Kurven. English |
| Series | Student mathematical library ; v. 15, 1520-9121 ; Student mathematical library ; v. 15. ^A438915 |
| Contents | Introduction. -- Affine algebraic curves and their equations. -- The projective closure. -- Tangents and singularities. -- Polars and Hessian curves. -- 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. -- Appendix 1. The resultant. -- Appendix 2. Covering maps. -- Appendix 3. The implicit function theorem. -- Appendix 4. The Newton polygon. -- Appendix 5. A numerical invariant of singularities of curves. -- Appendix 6. Harnack's inequality. |
| Bibliography note | Includes bibliographical references (p. 223-225) and index. |
| LCCN | 2001031597 |
| ISBN | 0821821229 (acid-free paper) |
| ISBN | 9780821821220 (acid-free paper) |
Availability
| Library | Location | Call Number | Status | Item Actions |
|---|---|---|---|---|
| Joyner | General Stacks | QA567 .F5713 2001 | ✔ Available | Place Hold |