1st Edition

Generalized Calculus with Applications to Matter and Forces

886 Pages
by CRC Press

886 Pages
by CRC Press

885 Pages
by CRC Press

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... Read more

List of Classifications, Diagrams, Lists, Notes, and Tables. Mathematical Symbols. Physical Quantities. 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.

Biography

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.