Noll, W. (Walter) 1925
Overview
Works:  33 works in 150 publications in 5 languages and 2,309 library holdings 

Genres:  Biography Academic theses 
Roles:  Author, Thesis advisor, Editor, Contributor 
Publication Timeline
.
Most widely held works about
W Noll
 The mathematical world of Walter Noll : a scientific biography by Yurie A Ignatieff( Book )
 Analysis and thermomechanics : a collection of papers dedicated to W. Noll on his sixtieth birthday by Bernard D Coleman( Book )
 Truesdell, C., papers by C Truesdell( )
Most widely held works by
W Noll
The nonlinear field theories of mechanics by
C Truesdell(
Book
)
39 editions published between 1965 and 2013 in English and German and held by 648 WorldCat member libraries worldwide
This volume is a second, corrected edition of The NonLinear Field Theories of Mechanics, which first appeared as Volume IIII3 of the Encyclopaedia of Physics, 1965. Its principal aims were to replace the conceptural, terminological, and notational chaos that existed in the literature of the field by at least a modicum of order and coherence, and second, to describe, or at least to summarize, everything that was both known and worth knowing in the field at the time. Inspecting the literature that has appeared since then, we conclude that the first aim was achieved to some degree. Many of the concepts, terms, and notations we introduced have become more or less standard, and thus communication among researchers in the field has been eased. On the other hand, some illchosen terms are still current. Examples are the use of "configuration" and "deformation" for what we should have called, and now call, "placement" and "transplacement", respectively. (To classify translations and rotations as deformations clashes too severely with the dictionary meaning of the latter.) We believe that the second aim was largely achieved also. We have found little published before 1965 that should have been included in the treatise but was not. However, a large amount of relevant literature has appeared since 1965, some of it important. As a result, were the treatise to be written today, it should be very different
39 editions published between 1965 and 2013 in English and German and held by 648 WorldCat member libraries worldwide
This volume is a second, corrected edition of The NonLinear Field Theories of Mechanics, which first appeared as Volume IIII3 of the Encyclopaedia of Physics, 1965. Its principal aims were to replace the conceptural, terminological, and notational chaos that existed in the literature of the field by at least a modicum of order and coherence, and second, to describe, or at least to summarize, everything that was both known and worth knowing in the field at the time. Inspecting the literature that has appeared since then, we conclude that the first aim was achieved to some degree. Many of the concepts, terms, and notations we introduced have become more or less standard, and thus communication among researchers in the field has been eased. On the other hand, some illchosen terms are still current. Examples are the use of "configuration" and "deformation" for what we should have called, and now call, "placement" and "transplacement", respectively. (To classify translations and rotations as deformations clashes too severely with the dictionary meaning of the latter.) We believe that the second aim was largely achieved also. We have found little published before 1965 that should have been included in the treatise but was not. However, a large amount of relevant literature has appeared since 1965, some of it important. As a result, were the treatise to be written today, it should be very different
Viscometric flows of nonNewtonian fluids; theory and experiment by
Bernard D Coleman(
Book
)
18 editions published between 1965 and 2014 in 3 languages and held by 542 WorldCat member libraries worldwide
18 editions published between 1965 and 2014 in 3 languages and held by 542 WorldCat member libraries worldwide
The foundations of mechanics and thermodynamics : selected papers by
W Noll(
Book
)
16 editions published in 1974 in English and German and held by 331 WorldCat member libraries worldwide
German scholars, against odds now not only forgotten but also hard to imagine, were striving to revivify the life of the mind which the mental and physical barbarity preached and practised by the isms and acies of 19331946 had all but eradicated. Thinking that among the disciples of these elders, restorers rather than progressives, I might find a student or two who would wish to master new mathematics but grasp it and use it with the wholeness of earlier times, in 1952 I wrote to Mr. HAMEL, one of the few then remaining mathematicians from the classical mould, to ask him to name some young men fit to study for the doc torate in The Graduate Institute for Applied Mathematics at Indiana University, flourishing at that time though soon to be destroyed by the jealous ambition of the local, stereotyped pure. Having just retired from the Technische Universitat in Charlottenburg, he passed my inquiry on to Mr. SZABO, in whose institute there NOLL was then an assistant. Although Mr
16 editions published in 1974 in English and German and held by 331 WorldCat member libraries worldwide
German scholars, against odds now not only forgotten but also hard to imagine, were striving to revivify the life of the mind which the mental and physical barbarity preached and practised by the isms and acies of 19331946 had all but eradicated. Thinking that among the disciples of these elders, restorers rather than progressives, I might find a student or two who would wish to master new mathematics but grasp it and use it with the wholeness of earlier times, in 1952 I wrote to Mr. HAMEL, one of the few then remaining mathematicians from the classical mould, to ask him to name some young men fit to study for the doc torate in The Graduate Institute for Applied Mathematics at Indiana University, flourishing at that time though soon to be destroyed by the jealous ambition of the local, stereotyped pure. Having just retired from the Technische Universitat in Charlottenburg, he passed my inquiry on to Mr. SZABO, in whose institute there NOLL was then an assistant. Although Mr
Continuum theory of inhomogeneities in simple bodies; a reprint of six memoirs by
W Noll(
Book
)
6 editions published in 1968 in English and held by 241 WorldCat member libraries worldwide
The term "dislocation" is used in several different senses in the literature of mechanics. In the elassic work of VOLTERRA, WEINGARTEN, and SOMIGLIANA, it refers to particular solutions of the equations of linear elasticity, in which a con tinuous field of strain does not correspond, globally, to a continuous field of dis placement. The configuration of the body so obtained, even when that body is free of all load, is subject to interior stress that does not vanish, and in general no deformation of the body as a wh oIe can bring it into a stressfree configuration. Nevertheless, if any sufficiently sm all part of the body is considered by itself, a configuration for it in which the stress is everywhere zero may be found at once. In this work constitutiL"e assumptions provide the basic data. These consist in prescribed stressfree configurations for each material point and in prescribed elastic moduli governing the response to deformation from the stressfree configuration at each material point. Everything follows from these data, ineluding the dislocations present, if any. In particular, the common boundaryvalue problems of linear elasticity may be set and solved for the dislocated body
6 editions published in 1968 in English and held by 241 WorldCat member libraries worldwide
The term "dislocation" is used in several different senses in the literature of mechanics. In the elassic work of VOLTERRA, WEINGARTEN, and SOMIGLIANA, it refers to particular solutions of the equations of linear elasticity, in which a con tinuous field of strain does not correspond, globally, to a continuous field of dis placement. The configuration of the body so obtained, even when that body is free of all load, is subject to interior stress that does not vanish, and in general no deformation of the body as a wh oIe can bring it into a stressfree configuration. Nevertheless, if any sufficiently sm all part of the body is considered by itself, a configuration for it in which the stress is everywhere zero may be found at once. In this work constitutiL"e assumptions provide the basic data. These consist in prescribed stressfree configurations for each material point and in prescribed elastic moduli governing the response to deformation from the stressfree configuration at each material point. Everything follows from these data, ineluding the dislocations present, if any. In particular, the common boundaryvalue problems of linear elasticity may be set and solved for the dislocated body
Finitedimensional spaces : algebra, geometry, and analysis by
W Noll(
Book
)
11 editions published in 1987 in English and Italian and held by 196 WorldCat member libraries worldwide
11 editions published in 1987 in English and Italian and held by 196 WorldCat member libraries worldwide
Finitedimensional spaces by
W Noll(
)
19 editions published in 1987 in English and Undetermined and held by 93 WorldCat member libraries worldwide
A. Audience. This treatise (consisting of the present VoU and of VoUI, to be published) is primarily intended to be a textbook for a core course in mathematics at the advanced undergraduate or the beginning graduate level. The treatise should also be useful as a textbook for selected stu dents in honors programs at the sophomore and junior level. Finally, it should be of use to theoretically inclined scientists and engineers who wish to gain a better understanding of those parts of mathemat ics that are most likely to help them gain insight into the conceptual foundations of the scientific discipline of their interest. B. Prerequisites. Before studying this treatise, a student should be familiar with the material summarized in Chapters 0 and 1 of Vol. 1. Three onesemester courses in serious mathematics should be sufficient to gain such fa miliarity. The first should be an introduction to contemporary math ematics and should cover sets, families, mappings, relations, number systems, and basic algebraic structures. The second should be an in troduction to rigorous real analysis, dealing with real numbers and real sequences, and with limits, continuity, differentiation, and integration of real functions of one real variable. The third should be an intro duction to linear algebra, with emphasis on concepts rather than on computational procedures. C. Organization
19 editions published in 1987 in English and Undetermined and held by 93 WorldCat member libraries worldwide
A. Audience. This treatise (consisting of the present VoU and of VoUI, to be published) is primarily intended to be a textbook for a core course in mathematics at the advanced undergraduate or the beginning graduate level. The treatise should also be useful as a textbook for selected stu dents in honors programs at the sophomore and junior level. Finally, it should be of use to theoretically inclined scientists and engineers who wish to gain a better understanding of those parts of mathemat ics that are most likely to help them gain insight into the conceptual foundations of the scientific discipline of their interest. B. Prerequisites. Before studying this treatise, a student should be familiar with the material summarized in Chapters 0 and 1 of Vol. 1. Three onesemester courses in serious mathematics should be sufficient to gain such fa miliarity. The first should be an introduction to contemporary math ematics and should cover sets, families, mappings, relations, number systems, and basic algebraic structures. The second should be an in troduction to rigorous real analysis, dealing with real numbers and real sequences, and with limits, continuity, differentiation, and integration of real functions of one real variable. The third should be an intro duction to linear algebra, with emphasis on concepts rather than on computational procedures. C. Organization
Analysis and thermomechanics : a collection of papers dedicated to W. Noll on his sixtieth birthday by
Bernard D Coleman(
Book
)
3 editions published in 1987 in English and held by 68 WorldCat member libraries worldwide
This book presents a collection of papers giving the flavor of current research activities in continuum mechanics, fluid mechanics, thermodynamics and the mathematical analysis related to these topics. Written by leading experts in the field, all the papers in this collection have been carefully refereed according to the standards of the "Archive for Rational Mechanics and Analysis."
3 editions published in 1987 in English and held by 68 WorldCat member libraries worldwide
This book presents a collection of papers giving the flavor of current research activities in continuum mechanics, fluid mechanics, thermodynamics and the mathematical analysis related to these topics. Written by leading experts in the field, all the papers in this collection have been carefully refereed according to the standards of the "Archive for Rational Mechanics and Analysis."
Walter Noll : vir mathematicus by
Yurie A Ignatieff(
Book
)
1 edition published in 1993 in English and held by 11 WorldCat member libraries worldwide
1 edition published in 1993 in English and held by 11 WorldCat member libraries worldwide
Handbuch der physik by
C Truesdell(
Book
)
3 editions published in 1965 in English and held by 7 WorldCat member libraries worldwide
3 editions published in 1965 in English and held by 7 WorldCat member libraries worldwide
Etude d'une équation différentielle fonctionnelle non linéaire régissant les mouvements instationnaires de fluides simples by
Michel Lucius(
Book
)
2 editions published in 1970 in French and held by 6 WorldCat member libraries worldwide
"Le problème est envisagé selon deux points de vue : d'une part en le considérant sous l'aspect mathématique et d'autre part en regardant son origine mécanique. L'utilisation combinée des équations fondamentales de la dynamique et de la loi de comportement des fluides simples conduit à l'écriture d'une équation différentielle fonctionnelle non linéaire qui régit le mouvement considéré. Le problème mathématique étudié consiste à établir un ensemble de conditions suffisantes portant sur la fonctionnelle tangentielle de réponse du milieu pour assurer l'existence et l'unicité de la solution de cette équation qui satisfait à des conditions initiales et aux limites données. A ce propos est développée une méthode originale de résolution que l'on peut considérer comme une généralisation des méthodes d'approximations successives à des problèmes bidimensionnels (espace, temps). Cette méthode est exposée au début du chapitre II. L'application de ce procédé et l'utilisation de certains résultats d'analyse fonctionnelle conduit à l'existence de solutions liées à des problèmes linéaires "héréditaires" c'estàdire pour lesquels le passé tout entier influence sensiblement le comportement présent. Une étude générale de ces équations est développée dans la seconde moitié du chapitre II. Dans cette partie apparaissent de façon naturelle des considérations sur l'énergie dissipée par frottement interne au sein du milieu en mouvement ; à ce propos, nous avons été amené à démontrer certaines inégalités originales. Nous les retrouverons aussi dans cette seconde partie du chapitre II. Le chapitre III porte essentiellement sur l'existence et l'unicité de la solution du problème envisagé. Un ensemble d'estimations à priori permet de situer la solution dans un espace fonctionnel de type Sobolev d'ordre un. Enfin, la recherche du comportement assymptotique de la solution permet de rejoindre des résultats déjà connus pour des écoulements viscométriques stationnaires. La seconde partie de cette étude (chapitre IV) apparait comme une application de la partie théorique et porte sur la possibilité de détermination expérimentale de certaines fonctions matérielles caractéristiques du milieu considéré. Envisagé ici sous l'aspect mécanique, le problème apparait en quelque sorte comme l'inverse du problème mathématique, En effet pour ce dernier, toutes les fonctions ou fonctionnelles qui figurent dans les équations sont supposées connues. En pratique il n'en est pas ainsi, et nous avons voulu montrer comment la théorie précédemment exposée permettait de réaliser une telle détermination. Afin de montrer que la méthode de résolution du chapitre II n'était nullement liée au type de mouvement choisi nous l'avons appliqué à d'autres modes d'écoulement (plancône, cisaillement simple)."
2 editions published in 1970 in French and held by 6 WorldCat member libraries worldwide
"Le problème est envisagé selon deux points de vue : d'une part en le considérant sous l'aspect mathématique et d'autre part en regardant son origine mécanique. L'utilisation combinée des équations fondamentales de la dynamique et de la loi de comportement des fluides simples conduit à l'écriture d'une équation différentielle fonctionnelle non linéaire qui régit le mouvement considéré. Le problème mathématique étudié consiste à établir un ensemble de conditions suffisantes portant sur la fonctionnelle tangentielle de réponse du milieu pour assurer l'existence et l'unicité de la solution de cette équation qui satisfait à des conditions initiales et aux limites données. A ce propos est développée une méthode originale de résolution que l'on peut considérer comme une généralisation des méthodes d'approximations successives à des problèmes bidimensionnels (espace, temps). Cette méthode est exposée au début du chapitre II. L'application de ce procédé et l'utilisation de certains résultats d'analyse fonctionnelle conduit à l'existence de solutions liées à des problèmes linéaires "héréditaires" c'estàdire pour lesquels le passé tout entier influence sensiblement le comportement présent. Une étude générale de ces équations est développée dans la seconde moitié du chapitre II. Dans cette partie apparaissent de façon naturelle des considérations sur l'énergie dissipée par frottement interne au sein du milieu en mouvement ; à ce propos, nous avons été amené à démontrer certaines inégalités originales. Nous les retrouverons aussi dans cette seconde partie du chapitre II. Le chapitre III porte essentiellement sur l'existence et l'unicité de la solution du problème envisagé. Un ensemble d'estimations à priori permet de situer la solution dans un espace fonctionnel de type Sobolev d'ordre un. Enfin, la recherche du comportement assymptotique de la solution permet de rejoindre des résultats déjà connus pour des écoulements viscométriques stationnaires. La seconde partie de cette étude (chapitre IV) apparait comme une application de la partie théorique et porte sur la possibilité de détermination expérimentale de certaines fonctions matérielles caractéristiques du milieu considéré. Envisagé ici sous l'aspect mécanique, le problème apparait en quelque sorte comme l'inverse du problème mathématique, En effet pour ce dernier, toutes les fonctions ou fonctionnelles qui figurent dans les équations sont supposées connues. En pratique il n'en est pas ainsi, et nous avons voulu montrer comment la théorie précédemment exposée permettait de réaliser une telle détermination. Afin de montrer que la méthode de résolution du chapitre II n'était nullement liée au type de mouvement choisi nous l'avons appliqué à d'autres modes d'écoulement (plancône, cisaillement simple)."
Fei xian xing chang zhi li xue li lun by
C Truesdell(
Book
)
1 edition published in 2001 in Chinese and held by 5 WorldCat member libraries worldwide
1 edition published in 2001 in Chinese and held by 5 WorldCat member libraries worldwide
The foundations of mechanics; C.I.M.E. lectures, 1965 by
W Noll(
)
2 editions published in 1965 in English and held by 3 WorldCat member libraries worldwide
2 editions published in 1965 in English and held by 3 WorldCat member libraries worldwide
Chemistry and technology of silicones by
Walter Noll(
Book
)
3 editions published between 1960 and 1968 in German and English and held by 3 WorldCat member libraries worldwide
Chemistry and Technology of Silicones
3 editions published between 1960 and 1968 in German and English and held by 3 WorldCat member libraries worldwide
Chemistry and Technology of Silicones
Materially uniform simple bodies with inhomogeneities by
W Noll(
Book
)
2 editions published in 1967 in English and held by 3 WorldCat member libraries worldwide
2 editions published in 1967 in English and held by 3 WorldCat member libraries worldwide
On the foundation of the mechanics of continuous media by
W Noll(
Book
)
2 editions published between 1957 and 1993 in English and held by 3 WorldCat member libraries worldwide
2 editions published between 1957 and 1993 in English and held by 3 WorldCat member libraries worldwide
Viscometric flows of nonNewtonian fluids : theory and experiment by
Bernard D Coleman(
)
1 edition published in 1966 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1966 in English and held by 2 WorldCat member libraries worldwide
On the continuity of the solid and the fluid states by
W Noll(
)
1 edition published in 1954 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1954 in English and held by 2 WorldCat member libraries worldwide
Mineralogie und Technik der bemalten Keramiken Altägyptens = Mineralogy and technique of the painted ceramics of ancient
Egypt by
W Noll(
Book
)
2 editions published in 1978 in German and held by 2 WorldCat member libraries worldwide
2 editions published in 1978 in German and held by 2 WorldCat member libraries worldwide
Representations of certain isotropic tensor functions by
W Noll(
Book
)
1 edition published in 1967 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1967 in English and held by 2 WorldCat member libraries worldwide
Steinund bronzezeitliche Funde Griechenlands : aus der Lehrsammlung des Vorgeschichtlichen Seminars : [Ausstellung vom Vorgeschichtlichen
Seminar Marburg, Februar 1977(
Book
)
2 editions published in 1977 in German and held by 2 WorldCat member libraries worldwide
2 editions published in 1977 in German and held by 2 WorldCat member libraries worldwide
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Related Identities
 Truesdell, C. (Clifford) 19192000 Author Contributor
 Coleman, Bernard D. (Bernard David) 1930 Other Author
 Markovitz, Hershel 19212006
 Toupin, Richard A. 1926
 Wang, Chaocheng 1938
 Antman, S. S. (Stuart S.) Editor
 Ignatieff, Yurie A. 1960 Author
 Antman, Stuart S. Editor
 Feinberg, M. (Martin) 1942 Other
 Serrin, J. (James) 19262012
Useful Links
Associated Subjects
Algebra Brown University California Institute of Technology CauchyRiemann equations Continuum mechanics Field theory (Physics) Functional analysis Generalized spaces Geometry Global analysis (Mathematics) Indiana University Johns Hopkins University Massachusetts Institute of Technology.Radiation Laboratory Mathematical physics Mathematicians Mathematics Mathematics historians Mechanics Mechanics, Analytic Muncaster, R. G Naval Ordnance Laboratory (White Oak, Md.) Naval Research Laboratory (U.S.) Noll, W.(Walter), Nonlinear mechanics NonNewtonian fluids Organosilicon compounds Physics Pottery, Egyptian Princeton University Silicones Tensor products Thermodynamics Truesdell, C.(Clifford), United States Vector spaces Viscous flow
Covers
Alternative Names
Noll, W.
Noll, W. 1925
Noll, Walter
Noll, Walter 1925
Walter Noll American mathematician
Walter Noll amerikai matematikus
Walter Noll deutschamerikanischer Mathematiker
Walter Noll Duits wiskundige
Walter Noll matematico e accademico tedesco
Walter Noll matemático estadounidense
Languages