AbeBooks.com: Algebraic Curves (9780387903613) by Walker, Robert J. and a great selection of similar New, Used and Collectible Books available now at great prices. So far we have considered only equations of degree at most 2. Because of the group structure on the integer solutions of x 2 − dy 2 = 1, we were able to employ algebraic methods to find these solutions. Thus a cubic with a double point is always rational. Algebraic Curves - An Introduction to Algebraic Geometry, by William Fulton. A more modern one on the same elementary level is Gerd Fischer, Plane algebraic curves, AMS, 2001. Algebraic Curves by Robert J. Walker (Author) 3.9 out of 5 stars 3 ratings By the way, as Walker makes clear, an irreducible curve of degree d, with a single singular point of multiplicity d-1, is already rational, and can be parametrized using Bezout's theorem. Algebraic curves Robert J. Walker This introduction to algebraic geometry examines how the more recent abstract concepts relate to traditional analytical and geometrical problems. Algebraic Curves (COMPLETE) Robert J. Walker This introduction to algebraic geometry examines how the more recent abstract concepts relate to traditional analytical and geometrical problems. This book was written to furnish a starting point for the study of algebraic geometry. Let us now take, as an example, the diophantine equation Both books a small and elementary, ideal for the first introduction. A good classical book is Walker, Algebraic curves, Princeton, 1950.

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