Computational Methods In Commutative Algebra And Algebraic Geometry

Computational Methods in Commutative Algebra and Algebraic Geometry PDF
Author: Wolmer Vasconcelos
Publisher: Springer Science & Business Media
ISBN: 9783540213116
Size: 20.80 MB
Format: PDF, Mobi
Category : Mathematics
Languages : en
Pages : 408
View: 6167

Get Book

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 Algebraic Geometry And Computational Methods

Commutative Algebra  Algebraic Geometry  and Computational Methods PDF
Author: David Eisenbud
Publisher: Springer
ISBN:
Size: 36.78 MB
Format: PDF, Mobi
Category : Mathematics
Languages : en
Pages : 320
View: 4251

Get Book

This volume contains papers presented at the International Conference on Commutative Algebra, Algebraic geometry, and Computational methods held in Hanoi in 1996, as well as papers written subsequently. It features both expository articles as well as research papers on a range of currently active areas in commutative algebra, algebraic geometry (particularly surveys on intersection theory) and combinatorics. In addition, a special feature is a section on the life and work of Wolfgang Vogel, who was an organiser of the conference.

Computational Algebraic Geometry And Commutative Algebra

Computational Algebraic Geometry and Commutative Algebra PDF
Author: David Eisenbud
Publisher:
ISBN: 9780521442183
Size: 47.94 MB
Format: PDF, Kindle
Category : Mathematics
Languages : en
Pages : 298
View: 5281

Get Book

Computational methods are an established tool in algebraic geometry and commutative algebra, the key element being the theory of Gröbner bases. This book represents the state of the art in computational algebraic geometry and encapsulates many of the most interesting trends and developments in the field. There are two articles on open problems, orienting the reader to the subject's direction, four surveys describing the most interesting work, and four original research papers. There is also an introduction to the theory of Gröbner bases and their use in computation. Though the perspective of the book is mathematical, it does relate the abstract and the experimental tendencies in the field. Consequently, it will appeal to computer scientists interested in symbolic computation, robotics or Gröbner bases, as well as mathematicians interested in algebraic geometry, commutative algebra, or the classification of algebras.

Homological And Computational Methods In Commutative Algebra

Homological and Computational Methods in Commutative Algebra PDF
Author: Aldo Conca
Publisher: Springer
ISBN: 3319619438
Size: 15.37 MB
Format: PDF, Kindle
Category : Mathematics
Languages : en
Pages : 256
View: 3221

Get Book

This volume collects contributions by leading experts in the area of commutative algebra related to the INdAM meeting “Homological and Computational Methods in Commutative Algebra” held in Cortona (Italy) from May 30 to June 3, 2016 . The conference and this volume are dedicated to Winfried Bruns on the occasion of his 70th birthday. In particular, the topics of this book strongly reflect the variety of Winfried Bruns’ research interests and his great impact on commutative algebra as well as its applications to related fields. The authors discuss recent and relevant developments in algebraic geometry, commutative algebra, computational algebra, discrete geometry and homological algebra. The book offers a unique resource, both for young and more experienced researchers seeking comprehensive overviews and extensive bibliographic references.

Homological And Computational Methods In Commutative Algebra

Homological and Computational Methods in Commutative Algebra PDF
Author: Aldo Conca
Publisher: Springer
ISBN: 9783319619422
Size: 60.37 MB
Format: PDF, Kindle
Category : Mathematics
Languages : en
Pages : 256
View: 5920

Get Book

This volume collects contributions by leading experts in the area of commutative algebra related to the INdAM meeting “Homological and Computational Methods in Commutative Algebra” held in Cortona (Italy) from May 30 to June 3, 2016 . The conference and this volume are dedicated to Winfried Bruns on the occasion of his 70th birthday. In particular, the topics of this book strongly reflect the variety of Winfried Bruns’ research interests and his great impact on commutative algebra as well as its applications to related fields. The authors discuss recent and relevant developments in algebraic geometry, commutative algebra, computational algebra, discrete geometry and homological algebra. The book offers a unique resource, both for young and more experienced researchers seeking comprehensive overviews and extensive bibliographic references.

A Singular Introduction To Commutative Algebra

A Singular Introduction to Commutative Algebra PDF
Author: Gert-Martin Greuel
Publisher: Springer Science & Business Media
ISBN: 3540735410
Size: 40.78 MB
Format: PDF, Mobi
Category : Mathematics
Languages : en
Pages : 689
View: 1773

Get Book

This substantially enlarged second edition aims to lead a further stage in the computational revolution in commutative algebra. This is the first handbook/tutorial to extensively deal with SINGULAR. Among the book’s most distinctive features is a new, completely unified treatment of the global and local theories. Another feature of the book is its breadth of coverage of theoretical topics in the portions of commutative algebra closest to algebraic geometry, with algorithmic treatments of almost every topic.

Ideals Varieties And Algorithms

Ideals  Varieties  and Algorithms PDF
Author: David A Cox
Publisher: Springer
ISBN: 9780387514857
Size: 50.29 MB
Format: PDF, ePub, Mobi
Category : Mathematics
Languages : en
Pages : 553
View: 4661

Get Book

This book details the heart and soul of modern commutative and algebraic geometry. It covers such topics as the Hilbert Basis Theorem, the Nullstellensatz, invariant theory, projective geometry, and dimension theory. In addition to enhancing the text of the second edition, with over 200 pages reflecting changes to enhance clarity and correctness, this third edition of Ideals, Varieties and Algorithms includes: a significantly updated section on Maple; updated information on AXIOM, CoCoA, Macaulay 2, Magma, Mathematica and SINGULAR; and presents a shorter proof of the Extension Theorem.

Ideals Varieties And Algorithms

Ideals  Varieties  and Algorithms PDF
Author: David A Cox
Publisher: Springer Science & Business Media
ISBN: 0387356509
Size: 45.27 MB
Format: PDF, Kindle
Category : Mathematics
Languages : en
Pages : 553
View: 3423

Get Book

This book details the heart and soul of modern commutative and algebraic geometry. It covers such topics as the Hilbert Basis Theorem, the Nullstellensatz, invariant theory, projective geometry, and dimension theory. In addition to enhancing the text of the second edition, with over 200 pages reflecting changes to enhance clarity and correctness, this third edition of Ideals, Varieties and Algorithms includes: a significantly updated section on Maple; updated information on AXIOM, CoCoA, Macaulay 2, Magma, Mathematica and SINGULAR; and presents a shorter proof of the Extension Theorem.

Computational Algebraic Geometry

Computational Algebraic Geometry PDF
Author: Frederic Eyssette
Publisher: Birkhäuser
ISBN: 9781461276524
Size: 53.74 MB
Format: PDF, ePub, Docs
Category : Mathematics
Languages : en
Pages : 332
View: 2655

Get Book

The theory and practice of computation in algebraic geometry and related domains, from a mathematical point of view, has generated an increasing interest both for its rich theoretical possibilities and its usefulness in applications in science and engineering. In fact, it is one of the master keys for future significant improvement of the computer algebra systems (e.g., Reduce, Macsyma, Maple, Mathematica, Axiom, Macaulay, etc.) that have become such useful tools for many scientists in a variety of disciplines. The major themes covered in this volume, arising from papers p- sented at the conference MEGA-92 were: - Effective methods and complexity issues in commutative algebra, projective geometry, real geometry, and algebraic number theory - Algebra-geometric methods in algebraic computing and applica tions. MEGA-92 was the second of a new series of European conferences on the general theme of Effective Methods in Algebraic Geometry. It was held in Nice, France, on April 21-25, 1992 and built on the themes presented at MEGA-90 (Livomo, Italy, April 17-21, 1990). The next conference - MEGA-94 - will be held in Santander, Spain in the spring of 1994. The Organizing committee that initiatiod and supervises this bi enniel conference consists of A. Conte (Torino), J. H. Davenport (Bath), A. Galligo (Nice), D. Yu. Grigoriev (Petersburg), J. Heintz (Buenos Aires), W. Lassner (Leipzig), D. Lazard (paris), H. M. MOller (Hagen), T. Mora (Genova), M. Pohst (DUsseldort), T. Recio (Santander), J. J.