New Generalized Functions and Multiplication of Distributions

New Generalized Functions and Multiplication of Distributions
Author: J.F. Colombeau
Publisher: Elsevier
Total Pages: 389
Release: 2000-04-01
Genre: Science
ISBN: 008087195X
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This volume presents a new mathematical theory of generalized functions, more general than Distribution Theory, giving a rigorous mathematical sense to any product of a finite number of distributions and to heuristic computations of Quantum Field Theory. Although the physical motivations are emphasized, the book is also addressed to mathematicians with no knowledge of physics. This work opens a new domain of research in both pure and applied mathematics.

Multiplication of Distributions

Multiplication of Distributions
Author: Jean F. Colombeau
Publisher: Springer
Total Pages: 193
Release: 2006-11-15
Genre: Mathematics
ISBN: 3540475109
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This book presents recent and very elementary developments of a theory of multiplication of distributions in the field of explicit and numerical solutions of systems of PDEs of physics (nonlinear elasticity, elastoplasticity, hydrodynamics, multifluid flows, acoustics). The prerequisites are kept to introductory calculus level so that the book remains accessible at the same time to pure mathematicians (as a smoothand somewhat heuristic introdcution to this theory) and to applied mathematicians, numerical engineers and theoretical physicists (as a tool to treat problems involving products of distributions).

Multiplication of Distributions

Multiplication of Distributions
Author: Jean F. Colombeau
Publisher:
Total Pages: 196
Release: 2014-01-15
Genre:
ISBN: 9783662171585
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Multiplication of Distributions

Multiplication of Distributions
Author: Jean François Colombeau
Publisher:
Total Pages: 183
Release: 1992
Genre:
ISBN:
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The Elementary Theory of Distributions

The Elementary Theory of Distributions
Author: Jan Mikusiński
Publisher:
Total Pages: 64
Release: 1957
Genre: Distribution (Probability theory)
ISBN:
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Introduction to the Theory of Distributions

Introduction to the Theory of Distributions
Author: F. G. Friedlander
Publisher: Cambridge University Press
Total Pages: 192
Release: 1998
Genre: Mathematics
ISBN: 9780521649711
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The second edition of a classic graduate text on the theory of distributions.

Distributions

Distributions
Author: J.J. Duistermaat
Publisher: Springer Science & Business Media
Total Pages: 455
Release: 2010-08-09
Genre: Mathematics
ISBN: 0817646752
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This textbook is an application-oriented introduction to the theory of distributions, a powerful tool used in mathematical analysis. The treatment emphasizes applications that relate distributions to linear partial differential equations and Fourier analysis problems found in mechanics, optics, quantum mechanics, quantum field theory, and signal analysis. The book is motivated by many exercises, hints, and solutions that guide the reader along a path requiring only a minimal mathematical background.

Mathematical Methods in Engineering

Mathematical Methods in Engineering
Author: Nuno Miguel Fonseca Ferreira
Publisher: Springer
Total Pages: 311
Release: 2014-08-18
Genre: Technology & Engineering
ISBN: 9400771835
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This book presents a careful selection of the contributions presented at the Mathematical Methods in Engineering (MME10) International Symposium, held at the Polytechnic Institute of Coimbra- Engineering Institute of Coimbra (IPC/ISEC), Portugal, October 21-24, 2010. The volume discusses recent developments about theoretical and applied mathematics toward the solution of engineering problems, thus covering a wide range of topics, such as: Automatic Control, Autonomous Systems, Computer Science, Dynamical Systems and Control, Electronics, Finance and Economics, Fluid Mechanics and Heat Transfer, Fractional Mathematics, Fractional Transforms and Their Applications, Fuzzy Sets and Systems, Image and Signal Analysis, Image Processing, Mechanics, Mechatronics, Motor Control and Human Movement Analysis, Nonlinear Dynamics, Partial Differential Equations, Robotics, Acoustics, Vibration and Control, and Wavelets.