ABSTRACT

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 genera

chapter 1|48 pages

Limit of a Sequence of Functions

chapter 2|88 pages

Shape of a Loaded String

chapter 3|48 pages

Functionals over Test Functions

chapter 4|110 pages

Bending of Bars and Beams

chapter 5|110 pages

Differential Operators and Geometry

chapter 7|66 pages

Convolution, Reciprocity, and Adjointness

chapter 8|86 pages

Electric/Magnetic Multipoles and Images

chapter 9|98 pages

Multidimensional Harmonic Potentials

chapter 10|70 pages

Twenty Examples