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Algebraic Curves, by Robert J. Walker
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This book was written to furnish a starting point for the study of algebraic geometry. The topics presented and methods of presenting them were chosen with the following ideas in mind; to keep the treat ment as elementary as possible, to introduce some of the recently devel oped algebraic methods of handling problems of algebraic geometry, to show how these methods are related to the older analytic and geometric methods, and to apply the general methods to specific geometric prob lems. These criteria led to a selection of topics from the theory of curves, centering around birational transformations and linear series. Experience in teaching the material showed the need of an intro duction to the underlying algebra and projective geometry, so this is supplied in the first two chapters. The inclusion of this material makes the book almost entirely self-contained. Methods of presentation, proof of theorems, and problems, have been adapted from various sources. We should mention, in particular, Severi-Laffier, Vorlesungen uber Algebraische Geometrie, van der Waerden, Algebraische Geometrie and Moderne Algebra, and lecture notes of S. Lefschetz and O. Zariski. We also wish to thank Mr. R. L. Beinert and Prof. G. L. Walker for suggestions and assistance with the proof, and particularly Prof. Saunders MacLane for a very careful examination and criticism of an early version of the work. R. J. WALKER Cornell University December 1, 1949 Contents Preface .
- Sales Rank: #3253757 in Books
- Published on: 2013-10-04
- Released on: 2013-10-04
- Original language: English
- Number of items: 1
- Dimensions: 9.25" h x .49" w x 6.10" l, .68 pounds
- Binding: Paperback
- 201 pages
Most helpful customer reviews
6 of 6 people found the following review helpful.
Best introduction to algebraic geometry
By KB
My advisor in graduate school told me to read this book. My office mate followed his advice. From then on, whenever I asked a question of my office mate, he stared into space searching for an answer, and then he replied, "Read Walker." In my opinion, it is the single most important book you can read if you want to become an algebraic geometer, or if you want to understand what an algebraic geometer is talking about. I am astonished to see that it is out of print. If the book has any flaws, I haven't been able to find them. Thank God for Robert J. Walker.
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