Elementary Algebraic Geometry
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Elementary Algebraic Geometry
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Author : Klaus Hulek
language : en
Publisher: American Mathematical Soc.
Release Date : 2003
Elementary Algebraic Geometry written by Klaus Hulek 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 2003 with Mathematics categories.
This book is a true introduction to the basic concepts and techniques of algebraic geometry. The language is purposefully kept on an elementary level, avoiding sheaf theory and cohomology theory. The introduction of new algebraic concepts is always motivated by a discussion of the corresponding geometric ideas. The main point of the book is to illustrate the interplay between abstract theory and specific examples. The book contains numerous problems that illustrate the general theory. The text is suitable for advanced undergraduates and beginning graduate students. It contains sufficient material for a one-semester course. The reader should be familiar with the basic concepts of modern algebra. A course in one complex variable would be helpful, but is not necessary.
Elementary Algebraic Geometry
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Author : Keith Kendig
language : en
Publisher: Courier Dover Publications
Release Date : 2015-02-18
Elementary Algebraic Geometry written by Keith Kendig and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-02-18 with Mathematics categories.
"This second edition of an introductory text is intended for advanced undergraduate and graduate students who have taken a one-year course in algebra and are familiar with complex analysis. Concrete examples and exercises illuminate chapters on curves, ring theory, arbitrary dimension, and other topics. Includes numerous updated figures specially redrawn for this edition. 2014 edition"--
Elementary Algebraic Geometry
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Author : Keith Kendig
language : en
Publisher:
Release Date : 1977-06-30
Elementary Algebraic Geometry written by Keith Kendig and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977-06-30 with categories.
Introduction To Algebraic Geometry
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Author : Serge Lang
language : en
Publisher: Courier Dover Publications
Release Date : 2019-03-20
Introduction To Algebraic Geometry written by Serge Lang and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-20 with Mathematics categories.
Author Serge Lang defines algebraic geometry as the study of systems of algebraic equations in several variables and of the structure that one can give to the solutions of such equations. The study can be carried out in four ways: analytical, topological, algebraico-geometric, and arithmetic. This volume offers a rapid, concise, and self-contained introductory approach to the algebraic aspects of the third method, the algebraico-geometric. The treatment assumes only familiarity with elementary algebra up to the level of Galois theory. Starting with an opening chapter on the general theory of places, the author advances to examinations of algebraic varieties, the absolute theory of varieties, and products, projections, and correspondences. Subsequent chapters explore normal varieties, divisors and linear systems, differential forms, the theory of simple points, and algebraic groups, concluding with a focus on the Riemann-Roch theorem. All the theorems of a general nature related to the foundations of the theory of algebraic groups are featured.
Elementary Algebraic Geometry
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Author : George William Myers
language : en
Publisher:
Release Date : 1921
Elementary Algebraic Geometry written by George William Myers and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1921 with Geometry categories.
An Elementary Treatise On Conic Sections And Algebraic Geometry
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Author : George Hale Puckle
language : en
Publisher:
Release Date : 1868
An Elementary Treatise On Conic Sections And Algebraic Geometry written by George Hale Puckle and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1868 with Conic sections categories.
Elementary Geometry Of Algebraic Curves
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Author : Christopher G. Gibson
language : en
Publisher: Cambridge University Press
Release Date : 1998-11-26
Elementary Geometry Of Algebraic Curves written by Christopher 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.
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.
An Elementary Treatise On Conic Sections And Algebraic Geometry
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Author : George Hale Puckle
language : en
Publisher:
Release Date : 1870
An Elementary Treatise On Conic Sections And Algebraic Geometry written by George Hale Puckle and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1870 with Conic sections categories.
Introduction To Algebraic Geometry
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Author : Steven Dale Cutkosky
language : en
Publisher: American Mathematical Soc.
Release Date : 2018-06-01
Introduction To Algebraic Geometry written by Steven Dale Cutkosky 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 2018-06-01 with Geometry, Algebraic categories.
This book presents a readable and accessible introductory course in algebraic geometry, with most of the fundamental classical results presented with complete proofs. An emphasis is placed on developing connections between geometric and algebraic aspects of the theory. Differences between the theory in characteristic and positive characteristic are emphasized. The basic tools of classical and modern algebraic geometry are introduced, including varieties, schemes, singularities, sheaves, sheaf cohomology, and intersection theory. Basic classical results on curves and surfaces are proved. More advanced topics such as ramification theory, Zariski's main theorem, and Bertini's theorems for general linear systems are presented, with proofs, in the final chapters. With more than 200 exercises, the book is an excellent resource for teaching and learning introductory algebraic geometry.