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Books > Science & Mathematics > Mathematics > Geometry > Algebraic geometry
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Algebraic Curves (Paperback, Softcover reprint of the original 1st ed. 1978)
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Algebraic Curves (Paperback, Softcover reprint of the original 1st ed. 1978)
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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 ."
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