Algorithms for Computer Algebra:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Boston, MA
Springer US
1992
|
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | Algorithms for Computer Algebra is the first comprehensive textbook to be published on the topic of computational symbolic mathematics. The book first develops the foundational material from modern algebra that is required for subsequent topics. It then presents a thorough development of modern computational algorithms for such problems as multivariate polynomial arithmetic and greatest common divisor calculations, factorization of multivariate polynomials, symbolic solution of linear and polynomial systems of equations, and analytic integration of elementary functions. Numerous examples are integrated into the text as an aid to understanding the mathematical development. The algorithms developed for each topic are presented in a Pascal-like computer language. An extensive set of exercises is presented at the end of each chapter. Algorithms for Computer Algebra is suitable for use as a textbook for a course on algebraic algorithms at the third-year, fourth-year, or graduate level. Although the mathematical development uses concepts from modern algebra, the book is self-contained in the sense that a one-term undergraduate course introducing students to rings and fields is the only prerequisite assumed. The book also serves well as a supplementary textbook for a traditional modern algebra course, by presenting concrete applications to motivate the understanding of the theory of rings and fields |
| Physical Description: | 1 Online-Ressource (XXII, 586 p) |
| ISBN: | 9780585332475 9780792392590 |
| DOI: | 10.1007/b102438 |
Staff View
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| 500 | |a Algorithms for Computer Algebra is the first comprehensive textbook to be published on the topic of computational symbolic mathematics. The book first develops the foundational material from modern algebra that is required for subsequent topics. It then presents a thorough development of modern computational algorithms for such problems as multivariate polynomial arithmetic and greatest common divisor calculations, factorization of multivariate polynomials, symbolic solution of linear and polynomial systems of equations, and analytic integration of elementary functions. Numerous examples are integrated into the text as an aid to understanding the mathematical development. The algorithms developed for each topic are presented in a Pascal-like computer language. An extensive set of exercises is presented at the end of each chapter. Algorithms for Computer Algebra is suitable for use as a textbook for a course on algebraic algorithms at the third-year, fourth-year, or graduate level. Although the mathematical development uses concepts from modern algebra, the book is self-contained in the sense that a one-term undergraduate course introducing students to rings and fields is the only prerequisite assumed. The book also serves well as a supplementary textbook for a traditional modern algebra course, by presenting concrete applications to motivate the understanding of the theory of rings and fields | ||
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| discipline | Informatik Mathematik |
| doi_str_mv | 10.1007/b102438 |
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| language | English |
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| spelling | Geddes, K. O. Verfasser aut Algorithms for Computer Algebra by K. O. Geddes, S. R. Czapor, G. Labahn Boston, MA Springer US 1992 1 Online-Ressource (XXII, 586 p) txt rdacontent c rdamedia cr rdacarrier Algorithms for Computer Algebra is the first comprehensive textbook to be published on the topic of computational symbolic mathematics. The book first develops the foundational material from modern algebra that is required for subsequent topics. It then presents a thorough development of modern computational algorithms for such problems as multivariate polynomial arithmetic and greatest common divisor calculations, factorization of multivariate polynomials, symbolic solution of linear and polynomial systems of equations, and analytic integration of elementary functions. Numerous examples are integrated into the text as an aid to understanding the mathematical development. The algorithms developed for each topic are presented in a Pascal-like computer language. An extensive set of exercises is presented at the end of each chapter. Algorithms for Computer Algebra is suitable for use as a textbook for a course on algebraic algorithms at the third-year, fourth-year, or graduate level. Although the mathematical development uses concepts from modern algebra, the book is self-contained in the sense that a one-term undergraduate course introducing students to rings and fields is the only prerequisite assumed. The book also serves well as a supplementary textbook for a traditional modern algebra course, by presenting concrete applications to motivate the understanding of the theory of rings and fields Mathematics Computer science Electronic data processing Algebra / Data processing Computer vision Algebra Computer software Mathematical Software Image Processing and Computer Vision Symbolic and Algebraic Manipulation Numeric Computing Computer Science, general Datenverarbeitung Informatik Mathematik Computeralgebra (DE-588)4010449-7 gnd rswk-swf Algorithmus (DE-588)4001183-5 gnd rswk-swf Computeralgebra (DE-588)4010449-7 s Algorithmus (DE-588)4001183-5 s 1\p DE-604 Czapor, S. R. Sonstige oth Labahn, G. Sonstige oth https://doi.org/10.1007/b102438 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Geddes, K. O. Algorithms for Computer Algebra Mathematics Computer science Electronic data processing Algebra / Data processing Computer vision Algebra Computer software Mathematical Software Image Processing and Computer Vision Symbolic and Algebraic Manipulation Numeric Computing Computer Science, general Datenverarbeitung Informatik Mathematik Computeralgebra (DE-588)4010449-7 gnd Algorithmus (DE-588)4001183-5 gnd |
| subject_GND | (DE-588)4010449-7 (DE-588)4001183-5 |
| title | Algorithms for Computer Algebra |
| title_auth | Algorithms for Computer Algebra |
| title_exact_search | Algorithms for Computer Algebra |
| title_full | Algorithms for Computer Algebra by K. O. Geddes, S. R. Czapor, G. Labahn |
| title_fullStr | Algorithms for Computer Algebra by K. O. Geddes, S. R. Czapor, G. Labahn |
| title_full_unstemmed | Algorithms for Computer Algebra by K. O. Geddes, S. R. Czapor, G. Labahn |
| title_short | Algorithms for Computer Algebra |
| title_sort | algorithms for computer algebra |
| topic | Mathematics Computer science Electronic data processing Algebra / Data processing Computer vision Algebra Computer software Mathematical Software Image Processing and Computer Vision Symbolic and Algebraic Manipulation Numeric Computing Computer Science, general Datenverarbeitung Informatik Mathematik Computeralgebra (DE-588)4010449-7 gnd Algorithmus (DE-588)4001183-5 gnd |
| topic_facet | Mathematics Computer science Electronic data processing Algebra / Data processing Computer vision Algebra Computer software Mathematical Software Image Processing and Computer Vision Symbolic and Algebraic Manipulation Numeric Computing Computer Science, general Datenverarbeitung Informatik Mathematik Computeralgebra Algorithmus |
| url | https://doi.org/10.1007/b102438 |
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