Author: Jean F. Colombeau
Publisher: Springer
ISBN: 3540475109
Category : Mathematics
Languages : en
Pages : 193
Book Description
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
Author: Jean F. Colombeau
Publisher: Springer
ISBN: 3540475109
Category : Mathematics
Languages : en
Pages : 193
Book Description
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).
Publisher: Springer
ISBN: 3540475109
Category : Mathematics
Languages : en
Pages : 193
Book Description
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).
New Generalized Functions and Multiplication of Distributions
Author: J.F. Colombeau
Publisher: Elsevier
ISBN: 008087195X
Category : Science
Languages : en
Pages : 389
Book Description
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.
Publisher: Elsevier
ISBN: 008087195X
Category : Science
Languages : en
Pages : 389
Book Description
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
Author: Jean François Colombeau
Publisher:
ISBN:
Category :
Languages : en
Pages : 183
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 183
Book Description
Multiplication of Distributions
Author: Jean F. Colombeau
Publisher:
ISBN: 9783662171585
Category :
Languages : en
Pages : 196
Book Description
Publisher:
ISBN: 9783662171585
Category :
Languages : en
Pages : 196
Book Description
The Elementary Theory of Distributions
Author: Jan Mikusiński
Publisher:
ISBN:
Category : Distribution (Probability theory)
Languages : en
Pages : 64
Book Description
Publisher:
ISBN:
Category : Distribution (Probability theory)
Languages : en
Pages : 64
Book Description
Multiplication of Distributions and Applications to Partial Differential Equations
Author: Michael Oberguggenberger
Publisher:
ISBN:
Category : Differential equations, Hyperbolic
Languages : en
Pages : 340
Book Description
Publisher:
ISBN:
Category : Differential equations, Hyperbolic
Languages : en
Pages : 340
Book Description
Mathematical Methods in Engineering
Author: K. Tas
Publisher: Springer Science & Business Media
ISBN: 1402056788
Category : Technology & Engineering
Languages : en
Pages : 451
Book Description
This book contains some of the contributions that have been carefully selected and peer-reviewed, which were presented at the International Symposium MME06 Mathematical Methods in Engineering, held in Cankaya University, Ankara, April 2006. The Symposium provided a setting for discussing recent developments in Fractional Mathematics, Neutrices and Generalized Functions, Boundary Value Problems, Applications of Wavelets, Dynamical Systems and Control Theory.
Publisher: Springer Science & Business Media
ISBN: 1402056788
Category : Technology & Engineering
Languages : en
Pages : 451
Book Description
This book contains some of the contributions that have been carefully selected and peer-reviewed, which were presented at the International Symposium MME06 Mathematical Methods in Engineering, held in Cankaya University, Ankara, April 2006. The Symposium provided a setting for discussing recent developments in Fractional Mathematics, Neutrices and Generalized Functions, Boundary Value Problems, Applications of Wavelets, Dynamical Systems and Control Theory.
Multiplication of Distributions and Applications to Partial Differential Equations
Author: Michael Oberguggenberger
Publisher:
ISBN: 9780608052304
Category :
Languages : en
Pages : 330
Book Description
Publisher:
ISBN: 9780608052304
Category :
Languages : en
Pages : 330
Book Description
A Guide To Distribution Theory And Fourier Transforms
Author: Robert S Strichartz
Publisher: World Scientific Publishing Company
ISBN: 9813102292
Category : Mathematics
Languages : en
Pages : 238
Book Description
This important book provides a concise exposition of the basic ideas of the theory of distribution and Fourier transforms and its application to partial differential equations. The author clearly presents the ideas, precise statements of theorems, and explanations of ideas behind the proofs. Methods in which techniques are used in applications are illustrated, and many problems are included. The book also introduces several significant recent topics, including pseudodifferential operators, wave front sets, wavelets, and quasicrystals. Background mathematical prerequisites have been kept to a minimum, with only a knowledge of multidimensional calculus and basic complex variables needed to fully understand the concepts in the book.A Guide to Distribution Theory and Fourier Transforms can serve as a textbook for parts of a course on Applied Analysis or Methods of Mathematical Physics, and in fact it is used that way at Cornell.
Publisher: World Scientific Publishing Company
ISBN: 9813102292
Category : Mathematics
Languages : en
Pages : 238
Book Description
This important book provides a concise exposition of the basic ideas of the theory of distribution and Fourier transforms and its application to partial differential equations. The author clearly presents the ideas, precise statements of theorems, and explanations of ideas behind the proofs. Methods in which techniques are used in applications are illustrated, and many problems are included. The book also introduces several significant recent topics, including pseudodifferential operators, wave front sets, wavelets, and quasicrystals. Background mathematical prerequisites have been kept to a minimum, with only a knowledge of multidimensional calculus and basic complex variables needed to fully understand the concepts in the book.A Guide to Distribution Theory and Fourier Transforms can serve as a textbook for parts of a course on Applied Analysis or Methods of Mathematical Physics, and in fact it is used that way at Cornell.
Distributions
Author: J.J. Duistermaat
Publisher: Springer Science & Business Media
ISBN: 0817646752
Category : Mathematics
Languages : en
Pages : 455
Book Description
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.
Publisher: Springer Science & Business Media
ISBN: 0817646752
Category : Mathematics
Languages : en
Pages : 455
Book Description
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.