Computational Commutative And Non Commutative Algebraic Geometry PDF Download
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Author | : Svetlana Cojocaru |
Publisher | : IOS Press |
Total Pages | : 336 |
Release | : 2005 |
Genre | : Electronic books |
ISBN | : 1586035053 |
Download Computational Commutative and Non-commutative Algebraic Geometry Book in PDF, ePub and Kindle
Author | : David Eisenbud |
Publisher | : Cambridge University Press |
Total Pages | : 463 |
Release | : 2015-11-19 |
Genre | : Mathematics |
ISBN | : 1107065623 |
Download Commutative Algebra and Noncommutative Algebraic Geometry Book in PDF, ePub and Kindle
This book surveys fundamental current topics in these two areas of research, emphasising the lively interaction between them. Volume 1 contains expository papers ideal for those entering the field.
Author | : Wolmer Vasconcelos |
Publisher | : Springer Science & Business Media |
Total Pages | : 432 |
Release | : 2004-05-18 |
Genre | : Mathematics |
ISBN | : 9783540213116 |
Download Computational Methods in Commutative Algebra and Algebraic Geometry Book in PDF, ePub and Kindle
This ACM volume deals with tackling problems that can be represented by data structures which are essentially matrices with polynomial entries, mediated by the disciplines of commutative algebra and algebraic geometry. The discoveries stem from an interdisciplinary branch of research which has been growing steadily over the past decade. The author covers a wide range, from showing how to obtain deep heuristics in a computation of a ring, a module or a morphism, to developing means of solving nonlinear systems of equations - highlighting the use of advanced techniques to bring down the cost of computation. Although intended for advanced students and researchers with interests both in algebra and computation, many parts may be read by anyone with a basic abstract algebra course.
Author | : Martin Kreuzer |
Publisher | : Springer Science & Business Media |
Total Pages | : 326 |
Release | : 2008-07-05 |
Genre | : Mathematics |
ISBN | : 3540706283 |
Download Computational Commutative Algebra 1 Book in PDF, ePub and Kindle
This introduction to polynomial rings, Gröbner bases and applications bridges the gap in the literature between theory and actual computation. It details numerous applications, covering fields as disparate as algebraic geometry and financial markets. To aid in a full understanding of these applications, more than 40 tutorials illustrate how the theory can be used. The book also includes many exercises, both theoretical and practical.
Author | : F.M.J. van Oystaeyen |
Publisher | : Springer |
Total Pages | : 408 |
Release | : 2006-11-14 |
Genre | : Mathematics |
ISBN | : 3540386017 |
Download Non-commutative Algebraic Geometry Book in PDF, ePub and Kindle
Author | : David Cox |
Publisher | : Springer Science & Business Media |
Total Pages | : 523 |
Release | : 2013-04-17 |
Genre | : Mathematics |
ISBN | : 1475721811 |
Download Ideals, Varieties, and Algorithms Book in PDF, ePub and Kindle
Written at a level appropriate to undergraduates, this book covers such topics as the Hilbert Basis Theorem, the Nullstellensatz, invariant theory, projective geometry, and dimension theory. Contains a new section on Axiom and an update about MAPLE, Mathematica and REDUCE.
Author | : David Eisenbud |
Publisher | : Cambridge University Press |
Total Pages | : 303 |
Release | : 2015-11-19 |
Genre | : Mathematics |
ISBN | : 110714972X |
Download Commutative Algebra and Noncommutative Algebraic Geometry Book in PDF, ePub and Kindle
This book surveys fundamental current topics in these two areas of research, emphasising the lively interaction between them. Volume 2 focuses on the most recent research.
Author | : Gwyn Bellamy |
Publisher | : Cambridge University Press |
Total Pages | : 367 |
Release | : 2016-06-20 |
Genre | : Mathematics |
ISBN | : 1107129540 |
Download Noncommutative Algebraic Geometry Book in PDF, ePub and Kindle
This book provides a comprehensive introduction to the interactions between noncommutative algebra and classical algebraic geometry.
Author | : David Eisenbud |
Publisher | : Springer Science & Business Media |
Total Pages | : 784 |
Release | : 2013-12-01 |
Genre | : Mathematics |
ISBN | : 1461253500 |
Download Commutative Algebra Book in PDF, ePub and Kindle
This is a comprehensive review of commutative algebra, from localization and primary decomposition through dimension theory, homological methods, free resolutions and duality, emphasizing the origins of the ideas and their connections with other parts of mathematics. The book gives a concise treatment of Grobner basis theory and the constructive methods in commutative algebra and algebraic geometry that flow from it. Many exercises included.
Author | : Y. Manin |
Publisher | : Princeton University Press |
Total Pages | : 173 |
Release | : 2014-07-14 |
Genre | : Mathematics |
ISBN | : 1400862515 |
Download Topics in Non-Commutative Geometry Book in PDF, ePub and Kindle
There is a well-known correspondence between the objects of algebra and geometry: a space gives rise to a function algebra; a vector bundle over the space corresponds to a projective module over this algebra; cohomology can be read off the de Rham complex; and so on. In this book Yuri Manin addresses a variety of instances in which the application of commutative algebra cannot be used to describe geometric objects, emphasizing the recent upsurge of activity in studying noncommutative rings as if they were function rings on "noncommutative spaces." Manin begins by summarizing and giving examples of some of the ideas that led to the new concepts of noncommutative geometry, such as Connes' noncommutative de Rham complex, supergeometry, and quantum groups. He then discusses supersymmetric algebraic curves that arose in connection with superstring theory; examines superhomogeneous spaces, their Schubert cells, and superanalogues of Weyl groups; and provides an introduction to quantum groups. This book is intended for mathematicians and physicists with some background in Lie groups and complex geometry. Originally published in 1991. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.