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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| 008 | 221104 2014 flua bi 000 0 eng d | ||
| 020 | |a 9781420071153 | ||
| 039 | 9 | |a 202211041148 |b VLOAD |c 201701060810 |d azraai |y 201610251529 |z hasri | |
| 040 | |a UPNM |b eng |c UPNM |e rda | ||
| 090 | |a QA 432 .C28 2014 | ||
| 100 | 1 | |a Campos, Luis Manuel Braga da Costa |e author | |
| 245 | 1 | 0 | |a Generalized calculus with applications to matter and forces |c L.M.B.C. Campos |
| 264 | 1 | |a Boca Raton |b CRC Press, Taylor & Francis Group |c [2014] | |
| 264 | 4 | |c ©2014 | |
| 300 | |a xlix, 835 pages |b illustrations |c 27 cm | ||
| 336 | |a text |2 rdacontent | ||
| 337 | |a unmediated |2 rdamedia | ||
| 338 | |a volume |2 rdacarrier | ||
| 490 | 1 | |a Mathematics and physics for science and technology | |
| 504 | |a Includes bibliographical references and index | ||
| 505 | 0 | |a 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 | |
| 520 | |a 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. | ||
| 592 | |a 32583 |b 29/11/16 |c RM226.87 |h Bookline | ||
| 650 | 0 | |a Calculus, Operational | |
| 650 | 0 | |a Integral transforms | |
| 650 | 0 | |a Theory of distributions (Functional analysis) | |
| 830 | 0 | |a Mathematics and physics for science and technology | |
| 999 | |a vtls000057200 |c 105612 |d 105612 | ||