This text for advanced undergraduate students is both an introduction to algebraic geometry and a bridge between its two parts--the analytical-topological and the algebraic. Because of its extensive use of formal power series (power series without convergency), the treatment will appeal to readers conversant with analysis but less familiar with the formidable techniques of modern algebra.

The book opens with an overview of the results required from algebra and proceeds to the fundamental concepts of the general theory of algebraic varieties: general point, dimension, function field, rational transformations, and correspondences. A concentrated chapter on formal power series with applications to algebraic varieties follows. An extensive survey of algebraic curves includes places, linear series, abelian differentials, and algebraic correspondences. The text concludes with an examination of systems of curves on a surface.

*"synopsis" may belong to another edition of this title.*

An introduction to algebraic geometry and a bridge between its analytical-topological and algebraical aspects, this book explores fundamental concepts of the general theory of algebraic varieties: general point, dimension, function field, rational transformations, and correspondences as well as formal power series and an extensive survey of algebraic curves. 1953 edition.

*"About this title" may belong to another edition of this title.*

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**Book Description **Dover Publications, Inc., 2005. Book Condition: New. *Price HAS BEEN reduced until Monday, May 1 as part of our April ABEBOOKS SALE* ix, 233 pp., Paperback, NEW. Bookseller Inventory # ZB1060560

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**Book Description **Dover Publications Inc., United States, 2006. Paperback. Book Condition: New. 214 x 132 mm. Language: English . Brand New Book. This text for advanced undergraduate students is both an introduction to algebraic geometry and a bridge between its two parts -- the analytical-topological and the algebraic. Because of its extensive use of formal power series (power series without convergency), the treatment will appeal to readers conversant with analysis but less familiar with the formidable techniques of modern algebra. The book opens with an overview of the results required from algebra and proceeds to the fundamental concepts of the general theory of algebraic varieties: general point, dimension, function field, rational transformations, and correspondences. A concentrated chapter on formal power series with applications to algebraic varieties follows. An extensive survey of algebraic curves includes places, linear series, abelian differentials, and algebraic correspondences. The text concludes with an examination of systems of curves on a surface. Bookseller Inventory # AAC9780486446110

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**Book Description **2005. PAP. Book Condition: New. New Book.Shipped from US within 10 to 14 business days. Established seller since 2000. Bookseller Inventory # IB-9780486446110

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**Book Description **Dover Publications Inc., United States, 2006. Paperback. Book Condition: New. 214 x 132 mm. Language: English . Brand New Book. This text for advanced undergraduate students is both an introduction to algebraic geometry and a bridge between its two parts -- the analytical-topological and the algebraic. Because of its extensive use of formal power series (power series without convergency), the treatment will appeal to readers conversant with analysis but less familiar with the formidable techniques of modern algebra. The book opens with an overview of the results required from algebra and proceeds to the fundamental concepts of the general theory of algebraic varieties: general point, dimension, function field, rational transformations, and correspondences. A concentrated chapter on formal power series with applications to algebraic varieties follows. An extensive survey of algebraic curves includes places, linear series, abelian differentials, and algebraic correspondences. The text concludes with an examination of systems of curves on a surface. Bookseller Inventory # AAC9780486446110

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**Book Description **Dover Publications, 2005. Paperback. Book Condition: New. Bookseller Inventory # 0486446115

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**Book Description **Dover Publications Inc. 2006-01-27, 2006. Book Condition: New. Brand new book, sourced directly from publisher. Dispatch time is 24-48 hours from our warehouse. Book will be sent in robust, secure packaging to ensure it reaches you securely. Bookseller Inventory # NU-ING-00033852

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**Book Description **Dover Publications. Paperback. Book Condition: New. Paperback. 256 pages. Dimensions: 8.4in. x 5.2in. x 0.6in.This text for advanced undergraduate students is both an introduction to algebraic geometry and a bridge between its two parts--the analytical-topological and the algebraic. Because of its extensive use of formal power series (power series without convergency), the treatment will appeal to readers conversant with analysis but less familiar with the formidable techniques of modern algebra. The book opens with an overview of the results required from algebra and proceeds to the fundamental concepts of the general theory of algebraic varieties: general point, dimension, function field, rational transformations, and correspondences. A concentrated chapter on formal power series with applications to algebraic varieties follows. An extensive survey of algebraic curves includes places, linear series, abelian differentials, and algebraic correspondences. The text concludes with an examination of systems of curves on a surface. This item ships from multiple locations. Your book may arrive from Roseburg,OR, La Vergne,TN. Paperback. Bookseller Inventory # 9780486446110

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