The Resource The Gröbner Cover, by Antonio Montes, (electronic resource)
The Gröbner Cover, by Antonio Montes, (electronic resource)
Resource Information
The item The Gröbner Cover, by Antonio Montes, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute Library.This item is available to borrow from 1 library branch.
Resource Information
The item The Gröbner Cover, by Antonio Montes, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute Library.
This item is available to borrow from 1 library branch.
- Summary
- This book is divided into two parts, one theoretical and one focusing on applications, and offers a complete description of the Canonical Gröbner Cover, the most accurate algebraic method for discussing parametric polynomial systems. It also includes applications to the Automatic Deduction of Geometric Theorems, Loci Computation and Envelopes. The theoretical part is a self-contained exposition on the theory of Parametric Gröbner Systems and Bases. It begins with Weispfenning’s introduction of Comprehensive Gröbner Systems (CGS) in 1992, and provides a complete description of the Gröbner Cover (GC), which includes a canonical discussion of a set of parametric polynomial equations developed by Michael Wibmer and the author. In turn, the application part selects three problems for which the Gröbner Cover offers valuable new perspectives. The automatic deduction of geometric theorems (ADGT) becomes fully automatic and straightforward using GC, representing a major improvement on all previous methods. In terms of loci and envelope computation, GC makes it possible to introduce a taxonomy of the components and automatically compute it. The book also generalizes the definition of the envelope of a family of hypersurfaces, and provides algorithms for its computation, as well as for discussing how to determine the real envelope. All the algorithms described here have also been included in the software library “grobcov.lib” implemented in Singular by the author, and serve as a User Manual for it.--
- Language
- eng
- Extent
- 1 online resource (XIV, 276 pages)
- Contents
-
- FM
- Preliminaries
- Part I Theory
- Constructible sets
- Comprehensive Gröbner Systems and Bases
- I-regular functions on a locally closed set
- The Canonical Gröbner Cover
- Part II Applications
- Automatic Deduction of Geometric Theorems
- Geometric Loci
- Geometric Envelopes
- The BUILD TREE Algorithm.-Bibliography
- Index
- Isbn
- 9783030039042
- Label
- The Gröbner Cover
- Title
- The Gröbner Cover
- Statement of responsibility
- by Antonio Montes
- Language
- eng
- Summary
- This book is divided into two parts, one theoretical and one focusing on applications, and offers a complete description of the Canonical Gröbner Cover, the most accurate algebraic method for discussing parametric polynomial systems. It also includes applications to the Automatic Deduction of Geometric Theorems, Loci Computation and Envelopes. The theoretical part is a self-contained exposition on the theory of Parametric Gröbner Systems and Bases. It begins with Weispfenning’s introduction of Comprehensive Gröbner Systems (CGS) in 1992, and provides a complete description of the Gröbner Cover (GC), which includes a canonical discussion of a set of parametric polynomial equations developed by Michael Wibmer and the author. In turn, the application part selects three problems for which the Gröbner Cover offers valuable new perspectives. The automatic deduction of geometric theorems (ADGT) becomes fully automatic and straightforward using GC, representing a major improvement on all previous methods. In terms of loci and envelope computation, GC makes it possible to introduce a taxonomy of the components and automatically compute it. The book also generalizes the definition of the envelope of a family of hypersurfaces, and provides algorithms for its computation, as well as for discussing how to determine the real envelope. All the algorithms described here have also been included in the software library “grobcov.lib” implemented in Singular by the author, and serve as a User Manual for it.--
- Assigning source
- Provided by publisher
- http://library.link/vocab/creatorName
- Montes, Antonio
- Image bit depth
- 0
- Literary form
- non fiction
- Nature of contents
- dictionaries
- Series statement
-
- Algorithms and Computation in Mathematics,
- Springer eBooks
- Springer eBooks.
- Series volume
- 27
- http://library.link/vocab/subjectName
-
- Algebra
- Field theory (Physics)
- Algebra
- Label
- The Gröbner Cover, by Antonio Montes, (electronic resource)
- Antecedent source
- mixed
- Carrier category
- online resource
- Carrier category code
-
- cr
- Carrier MARC source
- rdacarrier
- Color
- not applicable
- Content category
- text
- Content type code
-
- txt
- Content type MARC source
- rdacontent
- Contents
- FM -- Preliminaries -- Part I Theory -- Constructible sets -- Comprehensive Gröbner Systems and Bases -- I-regular functions on a locally closed set -- The Canonical Gröbner Cover -- Part II Applications -- Automatic Deduction of Geometric Theorems -- Geometric Loci -- Geometric Envelopes -- The BUILD TREE Algorithm.-Bibliography -- Index
- Control code
- 978-3-030-03904-2
- Dimensions
- unknown
- Extent
- 1 online resource (XIV, 276 pages)
- File format
- multiple file formats
- Form of item
-
- online
- electronic
- Governing access note
- Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
- Isbn
- 9783030039042
- Level of compression
- uncompressed
- Media category
- computer
- Media MARC source
- rdamedia
- Media type code
-
- c
- Other physical details
- 53 illustrations, 51 illustrations in color.
- Quality assurance targets
- absent
- Reformatting quality
- access
- Specific material designation
- remote
- System control number
- (OCoLC)1089253616
- Label
- The Gröbner Cover, by Antonio Montes, (electronic resource)
- Antecedent source
- mixed
- Carrier category
- online resource
- Carrier category code
-
- cr
- Carrier MARC source
- rdacarrier
- Color
- not applicable
- Content category
- text
- Content type code
-
- txt
- Content type MARC source
- rdacontent
- Contents
- FM -- Preliminaries -- Part I Theory -- Constructible sets -- Comprehensive Gröbner Systems and Bases -- I-regular functions on a locally closed set -- The Canonical Gröbner Cover -- Part II Applications -- Automatic Deduction of Geometric Theorems -- Geometric Loci -- Geometric Envelopes -- The BUILD TREE Algorithm.-Bibliography -- Index
- Control code
- 978-3-030-03904-2
- Dimensions
- unknown
- Extent
- 1 online resource (XIV, 276 pages)
- File format
- multiple file formats
- Form of item
-
- online
- electronic
- Governing access note
- Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
- Isbn
- 9783030039042
- Level of compression
- uncompressed
- Media category
- computer
- Media MARC source
- rdamedia
- Media type code
-
- c
- Other physical details
- 53 illustrations, 51 illustrations in color.
- Quality assurance targets
- absent
- Reformatting quality
- access
- Specific material designation
- remote
- System control number
- (OCoLC)1089253616
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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.library.eui.eu/portal/The-Gr%C3%B6bner-Cover-by-Antonio-Montes-electronic/1-i7NbDq5G0/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.eui.eu/portal/The-Gr%C3%B6bner-Cover-by-Antonio-Montes-electronic/1-i7NbDq5G0/">The Gröbner Cover, by Antonio Montes, (electronic resource)</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.eui.eu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.eui.eu/">European University Institute Library</a></span></span></span></span></div>
