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Irresistible integrals : symbolics, analysis, and experiments in the evaluation of integrals /
The problem of evaluating integrals is well known to every student who has had a year of calculus. It was an especially important subject in 19th century analysis and it has now been revived with the appearance of symbolic languages. In this book, the authors use the problem of exact evaluation of d...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge, UK ; New York :
Cambridge University Press,
2004.
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| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | The problem of evaluating integrals is well known to every student who has had a year of calculus. It was an especially important subject in 19th century analysis and it has now been revived with the appearance of symbolic languages. In this book, the authors use the problem of exact evaluation of definite integrals as a starting point for exploring many areas of mathematics. The questions discussed here are as old as calculus itself. In presenting the combination of methods required for the evaluation of most integrals, the authors take the most interesting, rather than the shortest, path to the results. Along the way, they illuminate connections with many subjects, including analysis, number theory, algebra and combinatorics. This will be a guided tour of exciting discovery for undergraduates and their teachers in mathematics, computer science, physics, and engineering. |
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| Descripción Física: | 1 online resource (xiv, 306 pages) |
| Bibliografía: | Includes bibliographical references (pages 276-297) and index. |
| ISBN: | 051121149X 9780511211492 0521791863 9780521791861 0521796369 9780521796361 0511216866 9780511216862 051121507X 9780511215070 0511617046 9780511617041 |