Mathematical Theorems
The main content of this book is related to construction of analytical solutions of differential equations and systems of mathematical physics, to development of analytical methods for solving boundary value problems for such equations and the study of properties of their solutions. A wide class of...
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| Materyal Türü: | Online |
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| Dil: | İngilizce |
| Baskı/Yayın Bilgisi: |
IntechOpen
2021
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| Konular: | |
| Online Erişim: | ONIX_20210420_9781838800727_3144 |
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| _version_ | 1869527822823849984 |
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| collection | Directory of Open Access Books |
| description | The main content of this book is related to construction of analytical solutions of differential equations and systems of mathematical physics, to development of analytical methods for solving boundary value problems for such equations and the study of properties of their solutions. A wide class of equations (elliptic, parabolic, and hyperbolic) is considered here, on the basis of which complex wave processes in biological and physical media can be simulated.The method of generalized functions presented in the book for solving boundary value problems of mathematical physics is universal for constructing solutions of boundary value problems for systems of linear differential equations with constant coefficients of any type. In the last sections of the book, the issues of calculating functions based on Padé approximations, binomial expansions, and fractal representations are considered. The book is intended for specialists in the field of mathematical and theoretical physics, mechanics and biophysics, students of mechanics, mathematics, physics and biology departments of higher educational institutions. |
| format | Online |
| id | doab-20.500.12854ir-67784 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2021 |
| publishDateRange | 2021 |
| publishDateSort | 2021 |
| publisher | IntechOpen |
| publisherStr | IntechOpen |
| record_format | ojs |
| spelling | doab-20.500.12854ir-677842024-04-04T14:41:19Z Mathematical Theorems Alexeyeva, Lyudmila Applied mathematics thema EDItEUR::P Mathematics and Science::PB Mathematics::PBW Applied mathematics The main content of this book is related to construction of analytical solutions of differential equations and systems of mathematical physics, to development of analytical methods for solving boundary value problems for such equations and the study of properties of their solutions. A wide class of equations (elliptic, parabolic, and hyperbolic) is considered here, on the basis of which complex wave processes in biological and physical media can be simulated.The method of generalized functions presented in the book for solving boundary value problems of mathematical physics is universal for constructing solutions of boundary value problems for systems of linear differential equations with constant coefficients of any type. In the last sections of the book, the issues of calculating functions based on Padé approximations, binomial expansions, and fractal representations are considered. The book is intended for specialists in the field of mathematical and theoretical physics, mechanics and biophysics, students of mechanics, mathematics, physics and biology departments of higher educational institutions. 2021-04-20T16:25:43Z 2021-04-20T16:25:43Z 2020 book ONIX_20210420_9781838800727_3144 9781838800727 9781838800710 9781838803414 https://directory.doabooks.org/handle/20.500.12854/67784 eng image/jpeg n/a https://www.intechopen.com/books https://mts.intechopen.com/storage/books/9325/authors_book/authors_book.pdf IntechOpen IntechOpen 10.5772/intechopen.83329 10.5772/intechopen.83329 78a36484-2c0c-47cb-ad67-2b9f5cd4a8f6 9781838800727 9781838800710 9781838803414 IntechOpen 148 open access |
| spellingShingle | Applied mathematics thema EDItEUR::P Mathematics and Science::PB Mathematics::PBW Applied mathematics Mathematical Theorems |
| title | Mathematical Theorems |
| title_full | Mathematical Theorems |
| title_fullStr | Mathematical Theorems |
| title_full_unstemmed | Mathematical Theorems |
| title_short | Mathematical Theorems |
| title_sort | mathematical theorems |
| topic | Applied mathematics thema EDItEUR::P Mathematics and Science::PB Mathematics::PBW Applied mathematics |
| topic_facet | Applied mathematics thema EDItEUR::P Mathematics and Science::PB Mathematics::PBW Applied mathematics |
| url | ONIX_20210420_9781838800727_3144 |