Document Type
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BL
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Record Number
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637133
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Doc. No
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dltt
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Uniform Title
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Ebene algebraische Kurven.English
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Main Entry
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Fischer, Gerd,1939-
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Title & Author
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Plane algebraic curves /\ Gerd Fischer ; translated by Leslie Kay.
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Series Statement
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Student mathematical library,; v. 15
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Page. NO
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xv, 231 pages :: illustrations ;; 22 cm.
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ISBN
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0821821229 (acid-free paper)
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: 9780821821220 (acid-free paper)
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Bibliographies/Indexes
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Includes bibliographical references (p. 223-225) and index.
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Contents
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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.
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Subject
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Curves, Algebraic.
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Dewey Classification
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516.3/52
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LC Classification
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QA567.F5713 2001
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