Romanian scientists Teodorescu (U. of Bucharest) Kecs (U. of Petrosani), and Toma (U. Politehnica Bucharest) present elements of the theory of distributions as well as theorems with possibility of application. Particular emphasis is paid to the mathematical representation of concentrated and distributed loads, in order to provide a unitary form for solutions to problems encountered in the mechanics of deformable solids. Among their topics are integral transformations of distributions, the representation in distributions of mechanical and physical quantities, applications of the distribution theory to the mechanics of the linear elastic bodies, applications in electrical engineering, and applications in physics. Annotation ©2013 Book News, Inc., Portland, OR (booknews.com)
In this comprehensive monograph, the authors apply modern mathematical methods to the study of mechanical and physical phenomena or techniques in acoustics, optics, and electrostatics, where classical mathematical tools fail.
They present a general method of approaching problems, pointing out different aspects and difficulties that may occur. With respect to the theory of distributions, only the results and the principle theorems are given as well as some mathematical results. The book also systematically deals with a large number of applications to problems of general Newtonian mechanics, as well as to problems pertaining to the mechanics of deformable solids and physics. Special attention is placed upon the introduction of corresponding mathematical models.
Addressed to a wide circle of readers who use mathematical methods in their work: applied mathematicians, engineers in various branches, as well as physicists, while also benefiting students in various fields.
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