Mathematics for the Physical Sciences
The book begins with a thorough introduction to complex analysis, which is then used to understand the properties of ordinary differential equations and their solutions. The latter are obtained in both series and integral representations. Integral transforms are introduced, providing an opportunity...
-д хадгалсан:
| Үндсэн зохиолч: | |
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| Формат: | Online |
| Хэл сонгох: | англи |
| Хэвлэсэн: |
De Gruyter
2021
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| Нөхцлүүд: | |
| Онлайн хандалт: | 16881 |
| Шошгууд: |
Шошго байхгүй, Энэхүү баримтыг шошголох эхний хүн болох!
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| _version_ | 1869520595639599104 |
|---|---|
| author | Copley, Leslie |
| author_browse | Copley, Leslie |
| author_facet | Copley, Leslie |
| author_sort | Copley, Leslie |
| collection | Directory of Open Access Books |
| description | The book begins with a thorough introduction to complex analysis, which is then used to understand the properties of ordinary differential equations and their solutions. The latter are obtained in both series and integral representations. Integral transforms are introduced, providing an opportunity to complement complex analysis with techniques that flow from an algebraic approach. This moves naturally into a discussion of eigenvalue and boundary vale problems. A thorough discussion of multi-dimensional boundary value problems then introduces the reader to the fundamental partial differential equations and “special functions” of mathematical physics. Moving to non-homogeneous boundary value problems the reader is presented with an analysis of Green’s functions from both analytical and algebraic points of view. This leads to a concluding chapter on integral equations. |
| format | Online |
| id | doab-20.500.12854ir-52878 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2021 |
| publishDateRange | 2021 |
| publishDateSort | 2021 |
| publisher | De Gruyter |
| publisherStr | De Gruyter |
| record_format | ojs |
| spelling | doab-20.500.12854ir-528782023-12-20T18:40:34Z Mathematics for the Physical Sciences Copley, Leslie QA1-939 mathematical physics boundary value problems bic Book Industry Communication::P Mathematics & science The book begins with a thorough introduction to complex analysis, which is then used to understand the properties of ordinary differential equations and their solutions. The latter are obtained in both series and integral representations. Integral transforms are introduced, providing an opportunity to complement complex analysis with techniques that flow from an algebraic approach. This moves naturally into a discussion of eigenvalue and boundary vale problems. A thorough discussion of multi-dimensional boundary value problems then introduces the reader to the fundamental partial differential equations and “special functions” of mathematical physics. Moving to non-homogeneous boundary value problems the reader is presented with an analysis of Green’s functions from both analytical and algebraic points of view. This leads to a concluding chapter on integral equations. 2021-02-11T18:55:32Z 2021-02-11T18:55:32Z 2015-04-13 10:58:46 2014 book 16881 9783110426243 9783110409475 https://directory.doabooks.org/handle/20.500.12854/52878 eng image/jpeg Attribution-NonCommercial-NoDerivatives 4.0 International https://doi.org/10.2478/9783110409475 De Gruyter 10.2478/9783110409475 10.2478/9783110409475 af2fbfcc-ee87-43d8-a035-afb9d7eef6a5 9783110426243 9783110409475 446 open access |
| spellingShingle | QA1-939 mathematical physics boundary value problems bic Book Industry Communication::P Mathematics & science Copley, Leslie Mathematics for the Physical Sciences |
| title | Mathematics for the Physical Sciences |
| title_full | Mathematics for the Physical Sciences |
| title_fullStr | Mathematics for the Physical Sciences |
| title_full_unstemmed | Mathematics for the Physical Sciences |
| title_short | Mathematics for the Physical Sciences |
| title_sort | mathematics for the physical sciences |
| topic | QA1-939 mathematical physics boundary value problems bic Book Industry Communication::P Mathematics & science |
| topic_facet | QA1-939 mathematical physics boundary value problems bic Book Industry Communication::P Mathematics & science |
| url | 16881 |
| work_keys_str_mv | AT copleyleslie mathematicsforthephysicalsciences |