The Resource A nonlinear theory of generalized functions, Hebe A. Biagioni
A nonlinear theory of generalized functions, Hebe A. Biagioni
Resource Information
The item A nonlinear theory of generalized functions, Hebe A. Biagioni represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item A nonlinear theory of generalized functions, Hebe A. Biagioni represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
- Summary
- This book provides a simple introduction to a nonlinear theory of generalized functions introduced by J.F. Colombeau, which gives a meaning to any multiplication of distributions. This theory extends from pure mathematics (it presents a faithful generalization of the classical theory of C? functions and provides a synthesis of most existing multiplications of distributions) to physics (it permits the resolution of ambiguities that appear in products of distributions), passing through the theory of partial differential equations both from the theoretical viewpoint (it furnishes a concept of weak solution of pde's leading to existence-uniqueness results in many cases where no distributional solution exists) and the numerical viewpoint (it introduces new and efficient methods developed recently in elastoplasticity, hydrodynamics and acoustics). This text presents basic concepts and results which until now were only published in article form. It is in- tended for mathematicians but, since the theory and applications are not dissociated it may also be useful for physicists and engineers. The needed prerequisites for its reading are essentially reduced to the classical notions of differential calculus and the theory of integration over n-dimensional euclidean spaces
- Language
- eng
- Extent
- 1 online resource (xii, 214 pages)
- Contents
-
- Generalized functions on an open subset of En
- Generalized functions on an arbitrary subset of En
- Generalized solutions of nonlinear partial differential equations
- Isbn
- 9783540469810
- Label
- A nonlinear theory of generalized functions
- Title
- A nonlinear theory of generalized functions
- Statement of responsibility
- Hebe A. Biagioni
- Language
- eng
- Summary
- This book provides a simple introduction to a nonlinear theory of generalized functions introduced by J.F. Colombeau, which gives a meaning to any multiplication of distributions. This theory extends from pure mathematics (it presents a faithful generalization of the classical theory of C? functions and provides a synthesis of most existing multiplications of distributions) to physics (it permits the resolution of ambiguities that appear in products of distributions), passing through the theory of partial differential equations both from the theoretical viewpoint (it furnishes a concept of weak solution of pde's leading to existence-uniqueness results in many cases where no distributional solution exists) and the numerical viewpoint (it introduces new and efficient methods developed recently in elastoplasticity, hydrodynamics and acoustics). This text presents basic concepts and results which until now were only published in article form. It is in- tended for mathematicians but, since the theory and applications are not dissociated it may also be useful for physicists and engineers. The needed prerequisites for its reading are essentially reduced to the classical notions of differential calculus and the theory of integration over n-dimensional euclidean spaces
- Action
- digitized
- Cataloging source
- SPLNM
- http://library.link/vocab/creatorDate
- 1952-
- http://library.link/vocab/creatorName
- Biagioni, Hebe A.
- Dewey number
- 515.782
- Illustrations
- illustrations
- Index
- index present
- LC call number
-
- QA3
- QA324
- LC item number
- .L28 no. 1421
- Literary form
- non fiction
- Nature of contents
-
- dictionaries
- bibliography
- Series statement
- Lecture notes in mathematics,
- Series volume
- 1421
- http://library.link/vocab/subjectName
-
- Theory of distributions (Functional analysis)
- Nonlinear theories
- Nonlinear theories
- Theory of distributions (Functional analysis)
- Analise Funcional
- Distribution (Funktionalanalysis)
- Nichtlineare Funktionalanalysis
- Label
- A nonlinear theory of generalized functions, Hebe A. Biagioni
- Bibliography note
- Includes bibliographical references (pages 201-211) and index
- Carrier category
- online resource
- Carrier category code
-
- cr
- Carrier MARC source
- rdacarrier
- Content category
- text
- Content type code
-
- txt
- Content type MARC source
- rdacontent
- Contents
- Generalized functions on an open subset of En -- Generalized functions on an arbitrary subset of En -- Generalized solutions of nonlinear partial differential equations
- Control code
- 298654480
- Dimensions
- unknown
- Extent
- 1 online resource (xii, 214 pages)
- Form of item
- online
- Isbn
- 9783540469810
- Media category
- computer
- Media MARC source
- rdamedia
- Media type code
-
- c
- Other physical details
- illustrations.
- Reproduction note
- Electronic reproduction.
- Sound
- unknown sound
- Specific material designation
- remote
- System control number
- (OCoLC)298654480
- System details
- Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
- Label
- A nonlinear theory of generalized functions, Hebe A. Biagioni
- Bibliography note
- Includes bibliographical references (pages 201-211) and index
- Carrier category
- online resource
- Carrier category code
-
- cr
- Carrier MARC source
- rdacarrier
- Content category
- text
- Content type code
-
- txt
- Content type MARC source
- rdacontent
- Contents
- Generalized functions on an open subset of En -- Generalized functions on an arbitrary subset of En -- Generalized solutions of nonlinear partial differential equations
- Control code
- 298654480
- Dimensions
- unknown
- Extent
- 1 online resource (xii, 214 pages)
- Form of item
- online
- Isbn
- 9783540469810
- Media category
- computer
- Media MARC source
- rdamedia
- Media type code
-
- c
- Other physical details
- illustrations.
- Reproduction note
- Electronic reproduction.
- Sound
- unknown sound
- Specific material designation
- remote
- System control number
- (OCoLC)298654480
- System details
- Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.library.missouri.edu/portal/A-nonlinear-theory-of-generalized-functions-Hebe/d1Kf30d1LLw/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/A-nonlinear-theory-of-generalized-functions-Hebe/d1Kf30d1LLw/">A nonlinear theory of generalized functions, Hebe A. Biagioni</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>
