Polynomials
Polynomials are well known for their ability to improve their properties and for their applicability in the interdisciplinary fields of engineering and science. Many problems arising in engineering and physics are mathematically constructed by differential equations. Most of these problems can only...
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| Format: | Online |
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| Language: | English |
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IntechOpen
2023
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| Online Access: | ONIX_20231201_9781838802707_1998 |
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| collection | Directory of Open Access Books |
| description | Polynomials are well known for their ability to improve their properties and for their applicability in the interdisciplinary fields of engineering and science. Many problems arising in engineering and physics are mathematically constructed by differential equations. Most of these problems can only be solved using special polynomials. Special polynomials and orthonormal polynomials provide a new way to analyze solutions of various equations often encountered in engineering and physical problems. In particular, special polynomials play a fundamental and important role in mathematics and applied mathematics. Until now, research on polynomials has been done in mathematics and applied mathematics only. This book is based on recent results in all areas related to polynomials. Divided into sections on theory and application, this book provides an overview of the current research in the field of polynomials. Topics include cyclotomic and Littlewood polynomials; Descartes' rule of signs; obtaining explicit formulas and identities for polynomials defined by generating functions; polynomials with symmetric zeros; numerical investigation on the structure of the zeros of the q-tangent polynomials; investigation and synthesis of robust polynomials in uncertainty on the basis of the root locus theory; pricing basket options by polynomial approximations; and orthogonal expansion in time domain method for solving Maxwell's equations using paralleling-in-order scheme. |
| format | Online |
| id | doab-20.500.12854ir-130889 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2023 |
| publishDateRange | 2023 |
| publishDateSort | 2023 |
| publisher | IntechOpen |
| publisherStr | IntechOpen |
| record_format | ojs |
| spelling | doab-20.500.12854ir-1308892024-04-04T14:41:07Z Polynomials Seoung Ryoo, Cheon uncertainty, fixed point, identity, stability, composition thema EDItEUR::P Mathematics and Science::PB Mathematics::PBF Algebra Polynomials are well known for their ability to improve their properties and for their applicability in the interdisciplinary fields of engineering and science. Many problems arising in engineering and physics are mathematically constructed by differential equations. Most of these problems can only be solved using special polynomials. Special polynomials and orthonormal polynomials provide a new way to analyze solutions of various equations often encountered in engineering and physical problems. In particular, special polynomials play a fundamental and important role in mathematics and applied mathematics. Until now, research on polynomials has been done in mathematics and applied mathematics only. This book is based on recent results in all areas related to polynomials. Divided into sections on theory and application, this book provides an overview of the current research in the field of polynomials. Topics include cyclotomic and Littlewood polynomials; Descartes' rule of signs; obtaining explicit formulas and identities for polynomials defined by generating functions; polynomials with symmetric zeros; numerical investigation on the structure of the zeros of the q-tangent polynomials; investigation and synthesis of robust polynomials in uncertainty on the basis of the root locus theory; pricing basket options by polynomial approximations; and orthogonal expansion in time domain method for solving Maxwell's equations using paralleling-in-order scheme. 2023-12-01T18:26:11Z 2023-12-01T18:26:11Z 2019 book ONIX_20231201_9781838802707_1998 9781838802707 9781838802691 9781838806392 https://directory.doabooks.org/handle/20.500.12854/130889 eng image/jpeg n/a https://www.intechopen.com/books/8599 https://mts.intechopen.com/storage/books/8599/authors_book/authors_book.pdf IntechOpen IntechOpen 10.5772/intechopen.79093 10.5772/intechopen.79093 78a36484-2c0c-47cb-ad67-2b9f5cd4a8f6 9781838802707 9781838802691 9781838806392 IntechOpen 172 open access |
| spellingShingle | uncertainty, fixed point, identity, stability, composition thema EDItEUR::P Mathematics and Science::PB Mathematics::PBF Algebra Polynomials |
| title | Polynomials |
| title_full | Polynomials |
| title_fullStr | Polynomials |
| title_full_unstemmed | Polynomials |
| title_short | Polynomials |
| title_sort | polynomials |
| topic | uncertainty, fixed point, identity, stability, composition thema EDItEUR::P Mathematics and Science::PB Mathematics::PBF Algebra |
| topic_facet | uncertainty, fixed point, identity, stability, composition thema EDItEUR::P Mathematics and Science::PB Mathematics::PBF Algebra |
| url | ONIX_20231201_9781838802707_1998 |