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Course #1: Some Lessons on Computer Algebra Kauers, Manuel
Description
The field of computer algebra can be divided into several mutually related subfields. Some of these are more relevant to combinatorialists than others, but we believe that there are some which should be known better. Therefore, for this overview talk, we have decided not only to discuss the most natural topics forming the subfield sometimes called symbolic combinatorics (featuring algorithms for recurrences and differential equations) but also discuss some of the techniques belonging to two other subfields that may be less known: exact arithmetic (with fast multiplication and working with homomorphic images) and Groebner basis (with techniques for reasoning about polynomial ideals). These topics are at the heart of computer algebra, and we believe that it will be handy for a computationally oriented combinatorialist to know about them.
Item Metadata
Title |
Course #1: Some Lessons on Computer Algebra
|
Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
|
Date Issued |
2017-09-18T09:06
|
Description |
The field of computer algebra can be divided into several
mutually related subfields. Some of these are more relevant to
combinatorialists than others, but we believe that there are some which
should be known better. Therefore, for this overview talk, we have
decided not only to discuss the most natural topics forming the subfield
sometimes called symbolic combinatorics (featuring algorithms for
recurrences and differential equations) but also discuss some of the
techniques belonging to two other subfields that may be less known:
exact arithmetic (with fast multiplication and working with homomorphic
images) and Groebner basis (with techniques for reasoning about
polynomial ideals). These topics are at the heart of computer algebra,
and we believe that it will be handy for a computationally oriented
combinatorialist to know about them.
|
Extent |
75 minutes
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Subject | |
Type | |
File Format |
video/mp4
|
Language |
eng
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Notes |
Author affiliation: Johannes Kepler University
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Series | |
Date Available |
2018-03-30
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
|
DOI |
10.14288/1.0364589
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
|
Scholarly Level |
Faculty
|
Rights URI | |
Aggregated Source Repository |
DSpace
|
Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International