Distribution Theory
With Applications in Engineering and Physics
1st Edition
Published on 15. February 2013
XII, 380 pages
978-3-527-65364-5 (ISBN)
Description
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.
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.
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Petre P. Teodorescu | Wilhelm W. Kecs | Antonela Toma
Distribution Theory
With Applications in Engineering and Physics
Book
03/2013
1st Edition
Wiley-VCH
€172.00
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03/2013
Wiley-VCH
€223.05
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Persons
Petre P. Teodorescu is professor at the University of Bucharest and member of the Romanian Academy of Sciences. He is president of the Section of Technical Mechanics and member of GAMM (Gesellschaft für Angewandte Mathematik und Mechanik). He was awarded by a prize of the Romanian Academy and is member of the editorial board of several scientific publications.
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.
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.
Content
1 INTRODUCTION TO THE THEORY OF DISTRIBUTIONS
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
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
