{"product_id":"algebraic-geometry-dover-books-on-mathematics","title":"Algebraic Geometry (Dover Books on Mathematics)","description":"\n\u003ctable align=\"center\" border=\"0\" cellpadding=\"2\" cellspacing=\"0\" width=\"100%\"\u003e\n\u003ctr\u003e\n\u003ctd class=\"productDetailSmallElements\"\u003e\n\u003cp\u003e\n\u003cstrong\u003eMarc Notes\u003c\/strong\u003e:\u003cbr\u003e\n\t\t\t\t\t\t\t\tIncludes bibliographical references (p. 226-228) and index.;Originally published: Princeton: Princeton University Press, 1953, in series: Princeton mathematical series;18.\u003cbr\u003e\u003cbr\u003e\n\u003cstrong\u003eTable of Contents\u003c\/strong\u003e:\u003cbr\u003e\n\t\t\t\t\t\t\t\tPreface \n\u003cbr\u003e1. Algebraic Foundations \n\u003cbr\u003e2. Algebraic Varieties: Fundamental Concepts \n\u003cbr\u003e3. Transformations of Algebraic Varieties \n\u003cbr\u003e4. Formal Power Series \n\u003cbr\u003e5. Algebraic Curves, Their Places and Transformations \n\u003cbr\u003e6. Linear Series \n\u003cbr\u003e7. Abelian Differentials \n\u003cbr\u003e8. Abel's Theorem. Algebraic Series and Correspondences \n\u003cbr\u003e9. Systems of Curves on a Surface \n\u003cbr\u003eAppendix \n\u003cbr\u003eBibliography \n\u003cbr\u003eList of symbols most frequently used in the text \n\u003cbr\u003eIndex\u003cbr\u003e\u003cbr\u003e\n\u003cstrong\u003ePublisher Marketing\u003c\/strong\u003e:\u003cbr\u003e\n\t\t\t\t\t\t\t\tThis 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. \n\u003cbr\u003eThe 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.\u003cbr\u003e\u003cbr\u003e\n\u003c\/p\u003e\n\u003cbr\u003e\n\u003cbr\u003e\n\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003c\/table\u003e\n","brand":"Dover Publications","offers":[{"title":"Default Title","offer_id":46581099266179,"sku":"SPTM-9780486446110","price":14.95,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0564\/6830\/8099\/files\/9780486446110_spiral_0857eb51-c3ee-418b-9f4e-aef71737823b.png?v=1770801815","url":"https:\/\/sebink.com\/products\/algebraic-geometry-dover-books-on-mathematics","provider":"Sebink","version":"1.0","type":"link"}