Generalized calculus with applications to matter and forces
Combining mathematical theory, physical principles, and engineering problems, Generalized Calculus with Applications to Matter and Forces examines generalized functions, including the Heaviside unit jump and the Dirac unit impulse and its derivatives of all orders, in one and several dimensions. The...
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| Main Author: | |
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| Format: | Book |
| Language: | English |
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Boca Raton
CRC Press, Taylor & Francis Group
[2014]
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| Series: | Mathematics and physics for science and technology
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| Subjects: | |
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| Summary: | Combining mathematical theory, physical principles, and engineering problems, Generalized Calculus with Applications to Matter and Forces examines generalized functions, including the Heaviside unit jump and the Dirac unit impulse and its derivatives of all orders, in one and several dimensions. The text introduces the two main approaches to generalized functions: (1) as a nonuniform limit of a family of ordinary functions, and (2) as a functional over a set of test functions from which properties are inherited. The second approach is developed more extensively to encompass multidimensional generalized functions whose arguments are ordinary functions of several variables. |
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| Physical Description: | xlix, 835 pages illustrations 27 cm |
| Bibliography: | Includes bibliographical references and index |
| ISBN: | 9781420071153 |