Computational Commutative and Non-commutative Algebraic Geometry
Author: Svetlana Cojocaru
Publisher: IOS Press
Published: 2005
Total Pages: 336
ISBN-13: 1586035053
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Computational Methods in Commutative Algebra and Algebraic Geometry
Author: Wolmer Vasconcelos
Publisher: Springer Science & Business Media
Published: 2004-05-18
Total Pages: 432
ISBN-13: 9783540213116
DOWNLOAD EBOOK →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.
Commutative Algebra and Noncommutative Algebraic Geometry
Author: David Eisenbud
Publisher: Cambridge University Press
Published: 2015-11-19
Total Pages: 463
ISBN-13: 1107065623
DOWNLOAD EBOOK →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.
Computational Commutative Algebra 1
Author: Martin Kreuzer
Publisher: Springer Science & Business Media
Published: 2008-07-05
Total Pages: 326
ISBN-13: 3540706283
DOWNLOAD EBOOK →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.
Noncommutative Algebraic Geometry
Author: Gwyn Bellamy
Publisher: Cambridge University Press
Published: 2016-06-20
Total Pages: 367
ISBN-13: 1107129540
DOWNLOAD EBOOK →This book provides a comprehensive introduction to the interactions between noncommutative algebra and classical algebraic geometry.
Ideals, Varieties, and Algorithms
Author: David Cox
Publisher: Springer Science & Business Media
Published: 2013-04-17
Total Pages: 523
ISBN-13: 1475721811
DOWNLOAD EBOOK →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.
Non-commutative Algebraic Geometry
Author: F.M.J. van Oystaeyen
Publisher: Springer
Published: 2006-11-14
Total Pages: 408
ISBN-13: 3540386017
DOWNLOAD EBOOK →Commutative Algebra
Author: David Eisenbud
Publisher: Springer Science & Business Media
Published: 2013-12-01
Total Pages: 784
ISBN-13: 1461253500
DOWNLOAD EBOOK →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.
Commutative Algebra and Noncommutative Algebraic Geometry
Author: David Eisenbud
Publisher: Cambridge University Press
Published: 2015-11-19
Total Pages: 303
ISBN-13: 110714972X
DOWNLOAD EBOOK →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.
Noncommutative Geometry
Author: Alain Connes
Publisher: Springer Science & Business Media
Published: 2003-12-08
Total Pages: 372
ISBN-13: 9783540203575
DOWNLOAD EBOOK →Noncommutative Geometry is one of the most deep and vital research subjects of present-day Mathematics. Its development, mainly due to Alain Connes, is providing an increasing number of applications and deeper insights for instance in Foliations, K-Theory, Index Theory, Number Theory but also in Quantum Physics of elementary particles. The purpose of the Summer School in Martina Franca was to offer a fresh invitation to the subject and closely related topics; the contributions in this volume include the four main lectures, cover advanced developments and are delivered by prominent specialists.
