Generalized Calculus with Applications to Matter and Forces - Braga De Costa Campos, Luis Manuel
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This volume combines mathematical theory, physical principles, and engineering problems to present generalized functions from an applied point of view. It examines the Heaviside unit jump and the Dirac unit impulse and its derivatives in one and several dimensions. Containing step-by-step examples with interpretations of results and discussions of assumptions and their consequences, the text covers Gauss and Stokes' theorems, self-adjoint and non-self-adjoint problems, multipolar expansions, Green's functions, and more to enable readers to construct mathematical-physical models suited to new observations or novel engineering devices.…mehr

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Produktbeschreibung
This volume combines mathematical theory, physical principles, and engineering problems to present generalized functions from an applied point of view. It examines the Heaviside unit jump and the Dirac unit impulse and its derivatives in one and several dimensions. Containing step-by-step examples with interpretations of results and discussions of assumptions and their consequences, the text covers Gauss and Stokes' theorems, self-adjoint and non-self-adjoint problems, multipolar expansions, Green's functions, and more to enable readers to construct mathematical-physical models suited to new observations or novel engineering devices.
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Autorenporträt
Considered one of Europe's leading applied mathematicians, Luis Manuel Braga de Costa Campos has authored 9 books, 129 papers in 56 journals, and 203 communications to symposia. He holds 2 patents in the US and UK and has been involved in over 40 research projects with international external funding. Dr. Campos also received the Von Karman Medal from the NATO Advisory Group for Aerospace Research and Development (AGARD) and Research and Technology Organization (RTO). Participation in AGARD/RTO included a vice-chairmanship of the System Concepts and Integration Panel, chairmanship of the Flight Mechanics and Flight Vehicle Integration Panels, and membership in the Flight Test Techniques Working Group.