Introduction To Plane Algebraic Curves
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Introduction To Plane Algebraic Curves
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Author : Ernst Kunz
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-06-10
Introduction To Plane Algebraic Curves written by Ernst Kunz and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-06-10 with Mathematics categories.
* Employs proven conception of teaching topics in commutative algebra through a focus on their applications to algebraic geometry, a significant departure from other works on plane algebraic curves in which the topological-analytic aspects are stressed *Requires only a basic knowledge of algebra, with all necessary algebraic facts collected into several appendices * Studies algebraic curves over an algebraically closed field K and those of prime characteristic, which can be applied to coding theory and cryptography * Covers filtered algebras, the associated graded rings and Rees rings to deduce basic facts about intersection theory of plane curves, applications of which are standard tools of computer algebra * Examples, exercises, figures and suggestions for further study round out this fairly self-contained textbook
Plane Algebraic Curves
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Author : Gerd Fischer
language : en
Publisher: American Mathematical Soc.
Release Date : 2001
Plane Algebraic Curves written by Gerd Fischer and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Curves, Algebraic categories.
This is an excellent introduction to algebraic geometry, which assumes only standard undergraduate mathematical topics: complex analysis, rings and fields, and topology. Reading this book will help establish the geometric intuition that lies behind the more advanced ideas and techniques used in the study of higher-dimensional varieties.
Plane Algebraic Curves
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Author : BRIESKORN
language : en
Publisher: Birkhäuser
Release Date : 2013-11-11
Plane Algebraic Curves written by BRIESKORN and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-11 with Mathematics categories.
Plane Algebraic Curves
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Author : C. Orzech
language : en
Publisher: CRC Press
Release Date : 1981-01-01
Plane Algebraic Curves written by C. Orzech and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981-01-01 with Mathematics categories.
Plane Algebraic Curves is a classroom-tested textbook for advanced undergraduate and beginning graduate students in mathematics. The book introduces the contemporary notions of algebraic varieties, morphisms of varieties, and adeles to the classical subject of plane curves over algebraically closed fields. By restricting the rigorous development of these notions to a traditional context the book makes its subject accessible without extensive algebraic prerequisites. Once the reader's intuition for plane curves has evolved, there is a discussion of how these objects can be generalized to higher dimensional settings. These features, as well as a proof of the Riemann-Roch Theorem based on a combination of geometric and algebraic considerations, make the book a good foundation for more specialized study in algebraic geometry, commutative algebra, and algebraic function fields. Plane Algebraic Curves is suitable for readers with a variety of backgrounds and interests. The book begins with a chapter outlining prerequisites, and contains informal discussions giving an overview of its material and relating it to non-algebraic topics which would be familiar to the general reader. There is an explanation of why the algebraic genus of a hyperelliptic curve agrees with its geometric genus as a compact Riemann surface, as well as a thorough description of how the classically important elliptic curves can be described in various normal forms. The book concludes with a bibliography which students can incorporate into their further studies. Book jacket.
A Guide To Plane Algebraic Curves
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Author : Keith Kendig
language : en
Publisher: American Mathematical Soc.
Release Date : 2011-12-31
A Guide To Plane Algebraic Curves written by Keith Kendig and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-12-31 with Mathematics categories.
An accessible introduction to plane algebraic curves that also serves as a natural entry point to algebraic geometry.
Plane Algebraic Curves
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Author : Grace Orzech
language : en
Publisher:
Release Date : 1981
Plane Algebraic Curves written by Grace Orzech and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with categories.
Introduction To Algebraic Curves
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Author : Phillip A. Griffiths
language : en
Publisher: American Mathematical Soc.
Release Date : 1989
Introduction To Algebraic Curves written by Phillip A. Griffiths and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Mathematics categories.
This book differs from a number of recent books on this subject in that it combines analytic and geometric methods at the outset, so that the reader can grasp the basic results of the subject. Although such modern techniques of sheaf theory, cohomology, and commutative algebra are not covered here, the book provides a solid foundation to proceed to more advanced texts in general algebraic geometry, complex manifolds, and Riemann surfaces, as well as algebraic curves. Containing numerous exercises this book would make an excellent introductory text.
A Treatise On Algebraic Plane Curves
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Author : Julian Lowell Coolidge
language : en
Publisher: Courier Corporation
Release Date : 2004-01-01
A Treatise On Algebraic Plane Curves written by Julian Lowell Coolidge and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-01-01 with Mathematics categories.
A thorough introduction to the theory of algebraic plane curves and their relations to various fields of geometry and analysis. Almost entirely confined to the properties of the general curve, and chiefly employs algebraic procedure. Geometric methods are much employed, however, especially those involving the projective geometry of hyperspace. 1931 edition. 17 illustrations.
Elementary Geometry Of Algebraic Curves
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Author : C. G. Gibson
language : en
Publisher: Cambridge University Press
Release Date : 1998-11-26
Elementary Geometry Of Algebraic Curves written by C. G. Gibson and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-11-26 with Mathematics categories.
Here is an introduction to plane algebraic curves from a geometric viewpoint, designed as a first text for undergraduates in mathematics, or for postgraduate and research workers in the engineering and physical sciences. The book is well illustrated and contains several hundred worked examples and exercises. From the familiar lines and conics of elementary geometry the reader proceeds to general curves in the real affine plane, with excursions to more general fields to illustrate applications, such as number theory. By adding points at infinity the affine plane is extended to the projective plane, yielding a natural setting for curves and providing a flood of illumination into the underlying geometry. A minimal amount of algebra leads to the famous theorem of Bezout, while the ideas of linear systems are used to discuss the classical group structure on the cubic.
Plane Algebraic Curves
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Author : Eric John Fyfe Primrose
language : en
Publisher:
Release Date : 1955
Plane Algebraic Curves written by Eric John Fyfe Primrose and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1955 with Curves, Algebraic categories.