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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| 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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Table of Contents:
- Limit of a Sequence of Functions
- Shape of a Loaded String
- Functionals over Test Functions
- Bending of Bars and Beams
- Differential Operators and Geometry
- Axisymmetric Flows and Four Sphere Theorems
- Convolution, Reciprocity, and Adjointness
- Electric/Magnetic Multipoles and Images
- Multidimensional Harmonic Potentials
- Twenty Examples