Computational Commutative and Non-commutative Algebraic Geometry

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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Book Synopsis Computational Commutative and Non-commutative Algebraic Geometry by : Svetlana Cojocaru

Download or read book Computational Commutative and Non-commutative Algebraic Geometry written by Svetlana Cojocaru and published by IOS Press. This book was released on 2005 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt:


Commutative Algebra and Noncommutative Algebraic Geometry

Commutative Algebra and Noncommutative Algebraic Geometry

Author: David Eisenbud

Publisher: Cambridge University Press

Published: 2015-11-19

Total Pages: 463

ISBN-13: 1107065623

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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.


Book Synopsis Commutative Algebra and Noncommutative Algebraic Geometry by : David Eisenbud

Download or read book Commutative Algebra and Noncommutative Algebraic Geometry written by David Eisenbud and published by Cambridge University Press. This book was released on 2015-11-19 with total page 463 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Methods in Commutative Algebra and Algebraic Geometry

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

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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.


Book Synopsis Computational Methods in Commutative Algebra and Algebraic Geometry by : Wolmer Vasconcelos

Download or read book Computational Methods in Commutative Algebra and Algebraic Geometry written by Wolmer Vasconcelos and published by Springer Science & Business Media. This book was released on 2004-05-18 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


Noncommutative Algebraic Geometry

Noncommutative Algebraic Geometry

Author: Gwyn Bellamy

Publisher: Cambridge University Press

Published: 2016-06-20

Total Pages: 367

ISBN-13: 1107129540

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This book provides a comprehensive introduction to the interactions between noncommutative algebra and classical algebraic geometry.


Book Synopsis Noncommutative Algebraic Geometry by : Gwyn Bellamy

Download or read book Noncommutative Algebraic Geometry written by Gwyn Bellamy and published by Cambridge University Press. This book was released on 2016-06-20 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive introduction to the interactions between noncommutative algebra and classical algebraic geometry.


Computational Commutative Algebra 1

Computational Commutative Algebra 1

Author: Martin Kreuzer

Publisher: Springer Science & Business Media

Published: 2008-07-05

Total Pages: 326

ISBN-13: 3540706283

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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.


Book Synopsis Computational Commutative Algebra 1 by : Martin Kreuzer

Download or read book Computational Commutative Algebra 1 written by Martin Kreuzer and published by Springer Science & Business Media. This book was released on 2008-07-05 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


Ideals, Varieties, and Algorithms

Ideals, Varieties, and Algorithms

Author: David Cox

Publisher: Springer Science & Business Media

Published: 2013-04-17

Total Pages: 523

ISBN-13: 1475721811

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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.


Book Synopsis Ideals, Varieties, and Algorithms by : David Cox

Download or read book Ideals, Varieties, and Algorithms written by David Cox and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 523 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Non-commutative Algebraic Geometry

Author: F.M.J. van Oystaeyen

Publisher: Springer

Published: 2006-11-14

Total Pages: 408

ISBN-13: 3540386017

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Book Synopsis Non-commutative Algebraic Geometry by : F.M.J. van Oystaeyen

Download or read book Non-commutative Algebraic Geometry written by F.M.J. van Oystaeyen and published by Springer. This book was released on 2006-11-14 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt:


Commutative Algebra

Commutative Algebra

Author: David Eisenbud

Publisher: Springer Science & Business Media

Published: 2013-12-01

Total Pages: 784

ISBN-13: 1461253500

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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.


Book Synopsis Commutative Algebra by : David Eisenbud

Download or read book Commutative Algebra written by David Eisenbud and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 784 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


Noncommutative Geometry

Noncommutative Geometry

Author: Alain Connes

Publisher: Springer Science & Business Media

Published: 2003-12-08

Total Pages: 372

ISBN-13: 9783540203575

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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.


Book Synopsis Noncommutative Geometry by : Alain Connes

Download or read book Noncommutative Geometry written by Alain Connes and published by Springer Science & Business Media. This book was released on 2003-12-08 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


Commutative Algebra and Noncommutative Algebraic Geometry

Commutative Algebra and Noncommutative Algebraic Geometry

Author: David Eisenbud

Publisher: Cambridge University Press

Published: 2015-11-19

Total Pages: 303

ISBN-13: 110714972X

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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.


Book Synopsis Commutative Algebra and Noncommutative Algebraic Geometry by : David Eisenbud

Download or read book Commutative Algebra and Noncommutative Algebraic Geometry written by David Eisenbud and published by Cambridge University Press. This book was released on 2015-11-19 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.