Distribution Theory
With Applications in Engineering and Physics
1. Auflage März 2013
XII, 380 Seiten, Hardcover
90 Abbildungen
Monographie
Kurzbeschreibung
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.
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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.
Stress is put on the unified presentation of continuous and discontinuous phenomena.
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.
2 INTEGRAL TRANSFORMS OF DISTRIBUTIONS
3 VARIATIONAL CALCULUS AND DIFFERENTIAL EQUATIONS IN DISTRIBUTIONS
4 REPRESENTATION IN DISTRIBUTIONS OF MECHANICAL AND PHYSICAL QUANTITIES
5 APPLICATIONS OF THE THEORY OF DISTRIBUTIONS IN MECHANICS
6 APPLICATION OF THE THEORY OF DISTRIBUTIONS TO LINEAR ELASTIC BODIES
7 APPLICATION OF THE THEORY OF DISTRIBUTIONS TO LINEAR VISCOELASTIC BODIES
8 APPLICATIONS OF THE DISTRIBUTION THEORY IN
ELECTRICAL ENGINEERING
9 APPLICATIONS OF THE THEORY OF DISTRIBUTIONS
IN THE STUDY OF ELASTIC BARS
10 APPLICATIONS OF THE DISTRIBUTION THEORY IN THE
STUDY OF VISCOELASTIC BARS
11 APPLICATIONS OF THE DISTRIBUTION THEORY IN
PHYSICS
Wilhelm W. Kecs is professor at the University of Petrosani and member of GAMM (Gesellschaft für angewandte Mathematik und Mechanik). He published a book on "Theory of distributions with applications" (in Romanian), Romanian Academy Publishing House, 2003.
Antonela Toma is professor at university "Politehnica" Bucharest. She published a monograph on Mathematical Methods in Elasticity and Viscoelasticity (in Romanian), 2004.
