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 existenceuniqueness 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 ndimensional 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 existenceuniqueness 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 ndimensional 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 201211) 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 201211) 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 faexternallinksquare fafw"></i> Data from <span resource="http://link.library.missouri.edu/portal/AnonlineartheoryofgeneralizedfunctionsHebe/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/AnonlineartheoryofgeneralizedfunctionsHebe/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>