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Using Algebraic Geometry

2013-04-17 Mathematics
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Release : 2013-04-17
Genre : Mathematics
Kind : eBook
Book Rating : 113/5 ( reviews)

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Book Synopsis Using Algebraic Geometry by : David A. Cox

Download or read book Using Algebraic Geometry written by David A. Cox. This book was released on 2013-04-17. Available in PDF, EPUB and Kindle. Book excerpt: An illustration of the many uses of algebraic geometry, highlighting the more recent applications of Groebner bases and resultants. Along the way, the authors provide an introduction to some algebraic objects and techniques more advanced than typically encountered in a first course. The book is accessible to non-specialists and to readers with a diverse range of backgrounds, assuming readers know the material covered in standard undergraduate courses, including abstract algebra. But because the text is intended for beginning graduate students, it does not require graduate algebra, and in particular, does not assume that the reader is familiar with modules.

Using Algebraic Geometry

2005-03-17 Mathematics
Download Using Algebraic Geometry PDF Online Free

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Release : 2005-03-17
Genre : Mathematics
Kind : eBook
Book Rating : 339/5 ( reviews)

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Book Synopsis Using Algebraic Geometry by : David A Cox

Download or read book Using Algebraic Geometry written by David A Cox. This book was released on 2005-03-17. Available in PDF, EPUB and Kindle. Book excerpt: The discovery of new algorithms for dealing with polynomial equations, and their implementation on fast, inexpensive computers, has revolutionized algebraic geometry and led to exciting new applications in the field. This book details many uses of algebraic geometry and highlights recent applications of Grobner bases and resultants. This edition contains two new sections, a new chapter, updated references and many minor improvements throughout.

Using Algebraic Geometry

1998-01-01 Mathematics
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Release : 1998-01-01
Genre : Mathematics
Kind : eBook
Book Rating : 925/5 ( reviews)

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Book Synopsis Using Algebraic Geometry by : David A. Cox

Download or read book Using Algebraic Geometry written by David A. Cox. This book was released on 1998-01-01. Available in PDF, EPUB and Kindle. Book excerpt: In recent years, the discovery of new algorithms for dealing with polynomial equations, coupled with their implementation on fast inexpensive computers, has sparked a minor revolution in the study and practice of algebraic geometry. These algorithmic methods have also given rise to some exciting new applications of algebraic geometry. This book illustrates the many uses of algebraic geometry, highlighting some of the more recent applications of Gr"obner bases and resultants. In order to do this, the authors provide an introduction to some algebraic objects and techniques which are more advanced than one typically encounters in a first course, but nonetheless of great utility. The book is written for nonspecialists and for readers with a diverse range of backgrounds. It assumes knowledge of the material covered in a standard undergraduate course in abstract algebra, and it would help to have some previous exposure to Gr"obner bases. The book does not assume the reader is familiar with more advanced concepts such as modules.

Introduction to Algebraic Geometry

2018-06-01 Mathematics
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Release : 2018-06-01
Genre : Mathematics
Kind : eBook
Book Rating : 187/5 ( reviews)

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Book Synopsis Introduction to Algebraic Geometry by : Steven Dale Cutkosky

Download or read book Introduction to Algebraic Geometry written by Steven Dale Cutkosky. This book was released on 2018-06-01. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Algebraic Geometry

2013-06-29 Mathematics
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Release : 2013-06-29
Genre : Mathematics
Kind : eBook
Book Rating : 498/5 ( reviews)

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Book Synopsis Algebraic Geometry by : Robin Hartshorne

Download or read book Algebraic Geometry written by Robin Hartshorne. This book was released on 2013-06-29. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to abstract algebraic geometry, with the only prerequisites being results from commutative algebra, which are stated as needed, and some elementary topology. More than 400 exercises distributed throughout the book offer specific examples as well as more specialised topics not treated in the main text, while three appendices present brief accounts of some areas of current research. This book can thus be used as textbook for an introductory course in algebraic geometry following a basic graduate course in algebra. Robin Hartshorne studied algebraic geometry with Oscar Zariski and David Mumford at Harvard, and with J.-P. Serre and A. Grothendieck in Paris. He is the author of "Residues and Duality", "Foundations of Projective Geometry", "Ample Subvarieties of Algebraic Varieties", and numerous research titles.

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