Oden, J. Tinsley (John Tinsley) 1936
Overview
Works:  226 works in 779 publications in 8 languages and 9,425 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Honoree, Other 
Classifications:  TA347.F5, 515.353 
Publication Timeline
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Most widely held works by
J. Tinsley Oden
Applied functional analysis : a first course for students of mechanics and engineering science by
J. Tinsley Oden(
Book
)
41 editions published between 1978 and 2017 in English and Undetermined and held by 851 WorldCat member libraries worldwide
Table of Contents<br>Preface<br>1 Preliminaries 1<br>Elementary Set Theory<br>Elementary Logic<br>Relations<br>Functions<br>Cardinality of Sets<br>Foundations of Abstract Algebra<br>Elementary Topology in [actual symbol not reproducible]<br>Elements of Differential and Integral Calculus<br>2 Linear Algebra 123<br>Vector Spaces  The Basic Concepts<br>Linear Transformations<br>Algebraic Duals<br>Euclidean Spaces<br>3 Lebesgue Measure and Integration 215<br>Lebesgue Measure<br>Lebesgue Integration Theory<br>L[superscript p] Spaces<br>4 Topological and Metric Spaces 289<br>Elementary Topology<br>Theory of Metric Spaces<br>5 Banach Spaces 383<br>Topological Vector Spaces<br>HahnBanach Extension Theorem<br>Bounded (Continuous) Linear Operators on Normed Spaces<br>Closed Operators<br>Topological Duals. Weak Compactness<br>Closed Range Theorem. Solvability of Linear Equations<br>
41 editions published between 1978 and 2017 in English and Undetermined and held by 851 WorldCat member libraries worldwide
Table of Contents<br>Preface<br>1 Preliminaries 1<br>Elementary Set Theory<br>Elementary Logic<br>Relations<br>Functions<br>Cardinality of Sets<br>Foundations of Abstract Algebra<br>Elementary Topology in [actual symbol not reproducible]<br>Elements of Differential and Integral Calculus<br>2 Linear Algebra 123<br>Vector Spaces  The Basic Concepts<br>Linear Transformations<br>Algebraic Duals<br>Euclidean Spaces<br>3 Lebesgue Measure and Integration 215<br>Lebesgue Measure<br>Lebesgue Integration Theory<br>L[superscript p] Spaces<br>4 Topological and Metric Spaces 289<br>Elementary Topology<br>Theory of Metric Spaces<br>5 Banach Spaces 383<br>Topological Vector Spaces<br>HahnBanach Extension Theorem<br>Bounded (Continuous) Linear Operators on Normed Spaces<br>Closed Operators<br>Topological Duals. Weak Compactness<br>Closed Range Theorem. Solvability of Linear Equations<br>
Computational mechanics : International Conference on Computational Methods in Nonlinear Mechanics, Austin, Texas, 1974 by
J. Tinsley Oden(
Book
)
80 editions published between 1974 and 2008 in 4 languages and held by 736 WorldCat member libraries worldwide
This document is the final technical report for the project, Computational Methods in Nonlinear Mechanics. The Report summarizes results obtained on this project for the period June 30, 1980 through September 30, 1982. All objectives of the original statement of work have been accomplished. These have included advances in mathematical modelling, numerical analysis, approximation theory, development of computer codes, and the study of related issues connected with the following nonlinear structural problems: contact problems in elasticity, reduced integration and penalty methods for finite element approximations of constrained problems in elasticity and fluid flow, contact problems with friction, nonlinear friction laws, plasticity and metal forming, existence and approximation theories in contact problem in elastostatics, fracture mechanics numerical methods for problems of finite elastic deformation, nonlinear eigenvalue problems, and bifurcation theory. Detailed summaries of results in some of these areas are given together with lists of all papers, reports, books, dissertations and oral presentations produced during the contract period. Suggestions for further research areas are also given. (Author)
80 editions published between 1974 and 2008 in 4 languages and held by 736 WorldCat member libraries worldwide
This document is the final technical report for the project, Computational Methods in Nonlinear Mechanics. The Report summarizes results obtained on this project for the period June 30, 1980 through September 30, 1982. All objectives of the original statement of work have been accomplished. These have included advances in mathematical modelling, numerical analysis, approximation theory, development of computer codes, and the study of related issues connected with the following nonlinear structural problems: contact problems in elasticity, reduced integration and penalty methods for finite element approximations of constrained problems in elasticity and fluid flow, contact problems with friction, nonlinear friction laws, plasticity and metal forming, existence and approximation theories in contact problem in elastostatics, fracture mechanics numerical methods for problems of finite elastic deformation, nonlinear eigenvalue problems, and bifurcation theory. Detailed summaries of results in some of these areas are given together with lists of all papers, reports, books, dissertations and oral presentations produced during the contract period. Suggestions for further research areas are also given. (Author)
Finite elements by
Eric B Becker(
Book
)
51 editions published between 1981 and 2000 in 3 languages and held by 723 WorldCat member libraries worldwide
51 editions published between 1981 and 2000 in 3 languages and held by 723 WorldCat member libraries worldwide
Variational methods in theoretical mechanics by
J. Tinsley Oden(
Book
)
38 editions published between 1976 and 1998 in 5 languages and held by 591 WorldCat member libraries worldwide
This is a textbook written for use in a graduatelevel course for students of mechanics and engineering science. It is designed to cover the essential features of modern variational methods and to demonstrate how a number of basic mathematical concepts can be used to produce a unified theory of variational mechanics. As prerequisite to using this text, we assume that the student is equipped with an introductory course in functional analysis at a level roughly equal to that covered, for example, in Kolmogorov and Fomin (Functional Analysis, Vol. I, Graylock, Rochester, 1957) and possibly a graduatelevel course in continuum mechanics. Numerous references to supplementary material are listed throughout the book. We are indebted to Professor Jim Douglas of the University of Chicago, who read an earlier version of the manuscript and whose detailed suggestions were extremely helpful in preparing the final draft. We also gratefully acknowedge that much of our own research work on va ri at i ona 1 theory was supported by the U.S. Ai r Force Offi ce of Scientific Research. We are indebted to Mr. MingGoei Sheu for help in proofreading. Finally, we wish to express thanks to Mrs. Marilyn Gude for her excellent and painstaking job of typing the manuscript. This revised edition contains only minor revisions of the first. Some misprints and errors have been corrected, and some sections were deleted, which were felt to be out of date
38 editions published between 1976 and 1998 in 5 languages and held by 591 WorldCat member libraries worldwide
This is a textbook written for use in a graduatelevel course for students of mechanics and engineering science. It is designed to cover the essential features of modern variational methods and to demonstrate how a number of basic mathematical concepts can be used to produce a unified theory of variational mechanics. As prerequisite to using this text, we assume that the student is equipped with an introductory course in functional analysis at a level roughly equal to that covered, for example, in Kolmogorov and Fomin (Functional Analysis, Vol. I, Graylock, Rochester, 1957) and possibly a graduatelevel course in continuum mechanics. Numerous references to supplementary material are listed throughout the book. We are indebted to Professor Jim Douglas of the University of Chicago, who read an earlier version of the manuscript and whose detailed suggestions were extremely helpful in preparing the final draft. We also gratefully acknowedge that much of our own research work on va ri at i ona 1 theory was supported by the U.S. Ai r Force Offi ce of Scientific Research. We are indebted to Mr. MingGoei Sheu for help in proofreading. Finally, we wish to express thanks to Mrs. Marilyn Gude for her excellent and painstaking job of typing the manuscript. This revised edition contains only minor revisions of the first. Some misprints and errors have been corrected, and some sections were deleted, which were felt to be out of date
An introduction to the mathematical theory of finite elements by
J. Tinsley Oden(
Book
)
27 editions published between 1976 and 2012 in English and Undetermined and held by 514 WorldCat member libraries worldwide
This introduction to the theory of Sobolev spaces and Hilbert space methods in partial differential equations is geared toward readers of modest mathematical backgrounds. It offers coherent, accessible demonstrations of the use of these techniques in developing the foundations of the theory of finite element approximations. J. T. Oden is Director of the Institute for Computational Engineering & Sciences (ICES) at the University of Texas at Austin, and J. N. Reddy is a Professor of Engineering at Texas A&M University. They developed this essentially selfcontained text from their seminars and courses for students with diverse educational backgrounds. Their effective presentation begins with introductory accounts of the theory of distributions, Sobolev spaces, intermediate spaces and duality, the theory of elliptic equations, and variational boundary value problems. The second half of the text explores the theory of finite element interpolation, finite element methods for elliptic equations, and finite element methods for initial boundary value problems. Detailed proofs of the major theorems appear throughout the text, in addition to numerous examples
27 editions published between 1976 and 2012 in English and Undetermined and held by 514 WorldCat member libraries worldwide
This introduction to the theory of Sobolev spaces and Hilbert space methods in partial differential equations is geared toward readers of modest mathematical backgrounds. It offers coherent, accessible demonstrations of the use of these techniques in developing the foundations of the theory of finite element approximations. J. T. Oden is Director of the Institute for Computational Engineering & Sciences (ICES) at the University of Texas at Austin, and J. N. Reddy is a Professor of Engineering at Texas A&M University. They developed this essentially selfcontained text from their seminars and courses for students with diverse educational backgrounds. Their effective presentation begins with introductory accounts of the theory of distributions, Sobolev spaces, intermediate spaces and duality, the theory of elliptic equations, and variational boundary value problems. The second half of the text explores the theory of finite element interpolation, finite element methods for elliptic equations, and finite element methods for initial boundary value problems. Detailed proofs of the major theorems appear throughout the text, in addition to numerous examples
Mechanics of elastic structures by
J. Tinsley Oden(
Book
)
25 editions published between 1966 and 1981 in English and held by 505 WorldCat member libraries worldwide
25 editions published between 1966 and 1981 in English and held by 505 WorldCat member libraries worldwide
Finite elements of nonlinear continua by
J. Tinsley Oden(
Book
)
35 editions published between 1970 and 2013 in 4 languages and held by 502 WorldCat member libraries worldwide
This text extends applications of the finite element method from linear problems in elastic structures to a broad class of practical, nonlinear problems in continuum mechanics. Its general and unified treatment of theory and applications emphasizes nonlinear problems in finite elasticity, viscoelasticity, heat conduction, and thermoviscoelasticity. 1972 edition
35 editions published between 1970 and 2013 in 4 languages and held by 502 WorldCat member libraries worldwide
This text extends applications of the finite element method from linear problems in elastic structures to a broad class of practical, nonlinear problems in continuum mechanics. Its general and unified treatment of theory and applications emphasizes nonlinear problems in finite elasticity, viscoelasticity, heat conduction, and thermoviscoelasticity. 1972 edition
Contact problems in elasticity : a study of variational inequalities and finite element methods by
Noboru Kikuchi(
Book
)
24 editions published between 1979 and 2007 in English and Undetermined and held by 273 WorldCat member libraries worldwide
Annotation
24 editions published between 1979 and 2007 in English and Undetermined and held by 273 WorldCat member libraries worldwide
Annotation
A posteriori error estimation in finite element analysis by
Mark Ainsworth(
Book
)
13 editions published between 2000 and 2011 in English and held by 271 WorldCat member libraries worldwide
"A Posteriori Error Estimation in Finite Element Analysis is a resource for researchers in almost any field of finite element methods, and for applied mathematicians and engineers who have an interest in error estimation and/or finite elements."Jacket
13 editions published between 2000 and 2011 in English and held by 271 WorldCat member libraries worldwide
"A Posteriori Error Estimation in Finite Element Analysis is a resource for researchers in almost any field of finite element methods, and for applied mathematicians and engineers who have an interest in error estimation and/or finite elements."Jacket
Formulations and computational algorithms in finite element analysis : U.S.Germany symposium by
J. Tinsley Oden(
Book
)
12 editions published between 1977 and 1978 in English and held by 258 WorldCat member libraries worldwide
12 editions published between 1977 and 1978 in English and held by 258 WorldCat member libraries worldwide
Recent advances in matrix methods of structural analysis and design; [proceedings] by United States Japan Seminar on Matrix Methods of Structural Analysis and Design(
Book
)
7 editions published between 1970 and 1971 in English and held by 254 WorldCat member libraries worldwide
7 editions published between 1970 and 1971 in English and held by 254 WorldCat member libraries worldwide
Finite element methods in flow problems. A collection of papers and extended abstracts of papers by
J. Tinsley Oden(
Book
)
24 editions published in 1974 in 3 languages and held by 211 WorldCat member libraries worldwide
;Contents: Basic theory; Viscous flow, Stokesian fluids, hydrodynamics; Aerodynamics, gasdynamics and compressible flow; Wave and stability phenomena; Diffusion, dispersion and convection; Lubrication; Estuary and thermal/fluid flow; Viscous, creeping flow; Flow in porous media; Programming aspects and applications
24 editions published in 1974 in 3 languages and held by 211 WorldCat member libraries worldwide
;Contents: Basic theory; Viscous flow, Stokesian fluids, hydrodynamics; Aerodynamics, gasdynamics and compressible flow; Wave and stability phenomena; Diffusion, dispersion and convection; Lubrication; Estuary and thermal/fluid flow; Viscous, creeping flow; Flow in porous media; Programming aspects and applications
Lectures on finite element methods in continuum mechanics by NATO Advanced Study Institute on Finite Element Methods in Continuum Mechanics(
Book
)
18 editions published in 1973 in English and Undetermined and held by 173 WorldCat member libraries worldwide
18 editions published in 1973 in English and Undetermined and held by 173 WorldCat member libraries worldwide
Bifurcation in rotating bodies by
Patrick Rabier(
Book
)
13 editions published in 1989 in 3 languages and held by 152 WorldCat member libraries worldwide
13 editions published in 1989 in 3 languages and held by 152 WorldCat member libraries worldwide
Qualitative methods in nonlinear mechanics by
J. Tinsley Oden(
Book
)
8 editions published in 1986 in English and Undetermined and held by 147 WorldCat member libraries worldwide
8 editions published in 1986 in English and Undetermined and held by 147 WorldCat member libraries worldwide
Advances in computational methods in structural mechanics and design; papers by
J. Tinsley Oden(
Book
)
10 editions published in 1972 in English and held by 140 WorldCat member libraries worldwide
10 editions published in 1972 in English and held by 140 WorldCat member libraries worldwide
An introduction to mathematical modeling : a course in mechanics by
J. Tinsley Oden(
Book
)
16 editions published between 2011 and 2013 in English and held by 117 WorldCat member libraries worldwide
An important resource, this book provides a shortcourse in nonlinear continuum mechanics, contains a brief account of electromagnetic wave theory and Maxwell's equations as well as an introductory account of quantum mechanics, and presents a brief introduction to statistical mechanics of systems in thermodynamic equilibrium. Also included is information on continuum mechanics, electrodynamics, quantum mechanics, and statistical mechanics. The author approaches mechanics as the branch of physics and mathematical science concerned with describing the motion of bodies, including their deformation and temperature changes, under the action of forces, and if the study of the propagation of waves and the transformation of energy in physical systems are added, then the term mechanics does indeed apply to everything that is covered within the book."
16 editions published between 2011 and 2013 in English and held by 117 WorldCat member libraries worldwide
An important resource, this book provides a shortcourse in nonlinear continuum mechanics, contains a brief account of electromagnetic wave theory and Maxwell's equations as well as an introductory account of quantum mechanics, and presents a brief introduction to statistical mechanics of systems in thermodynamic equilibrium. Also included is information on continuum mechanics, electrodynamics, quantum mechanics, and statistical mechanics. The author approaches mechanics as the branch of physics and mathematical science concerned with describing the motion of bodies, including their deformation and temperature changes, under the action of forces, and if the study of the propagation of waves and the transformation of energy in physical systems are added, then the term mechanics does indeed apply to everything that is covered within the book."
Stateoftheart surveys on computational mechanics(
Book
)
4 editions published in 1989 in English and held by 109 WorldCat member libraries worldwide
4 editions published in 1989 in English and held by 109 WorldCat member libraries worldwide
Advances in adaptive computational methods in mechanics by
Pierre Ladevèze(
Book
)
13 editions published in 1998 in English and held by 83 WorldCat member libraries worldwide
Mastering modelling, and in particular numerical models, is becoming a crucial and central question in modern computational mechanics. Various tools, able to quantify the quality of a model with regard to another one taken as the reference, have been derived. Applied to computational strategies, these tools lead to new computational methods which are called "adaptive". The present book is concerned with outlining the state of the art and the latest advances in both these important areas. Papers are selected from a Workshop (Cachan 1719 September 1997) which is the third of a series devoted to Error Estimators and Adaptivity in Computational Mechanics. The Cachan Workshop dealt with latest advances in adaptive computational methods in mechanics and their impacts on solving engineering problems. It was centered too on providing answers to simple questions such as: what is being used or can be used at present to solve engineering problems? What should be the state of art in the year 2000? What are the new questions involving error estimators and their applications?
13 editions published in 1998 in English and held by 83 WorldCat member libraries worldwide
Mastering modelling, and in particular numerical models, is becoming a crucial and central question in modern computational mechanics. Various tools, able to quantify the quality of a model with regard to another one taken as the reference, have been derived. Applied to computational strategies, these tools lead to new computational methods which are called "adaptive". The present book is concerned with outlining the state of the art and the latest advances in both these important areas. Papers are selected from a Workshop (Cachan 1719 September 1997) which is the third of a series devoted to Error Estimators and Adaptivity in Computational Mechanics. The Cachan Workshop dealt with latest advances in adaptive computational methods in mechanics and their impacts on solving engineering problems. It was centered too on providing answers to simple questions such as: what is being used or can be used at present to solve engineering problems? What should be the state of art in the year 2000? What are the new questions involving error estimators and their applications?
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Related Identities
 Reddy, J. N. (Junuthula Narasimha) 1945
 Carey, Graham F. Other Author Editor
 Becker, Eric B. Author Editor
 Demkowicz, Leszek Author Editor
 Ainsworth, Mark 1965 Author
 National Science Foundation (U.S.) Editor
 Nihon Gakujutsu Shinkōkai
 United States National Aeronautics and Space Administration
 Kikuchi, Noboru Author
 Gallagher, Richard H. Author Editor
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Associated Subjects
Approximation theory Bifurcation theory Boundary value problems Boundary value problemsNumerical solutions Calculus of variations Collisions (Physics)Mathematical models Computer science Continuum mechanics Deformations (Mechanics) Differential equations, EllipticNumerical solutions Elasticity Engineering Engineering mathematics Error analysis (Mathematics) Estimation theory Finite element method Flow charts Fluid dynamics Functional analysis Hydrodynamics Inequalities (Mathematics) Mathematical optimization Mathematics Matrices Mechanics Mechanics, Analytic Mechanics, Applied Mechanics, AppliedMathematics Nonlinear mechanics Nonlinear mechanicsData processing Nonlinear theories Numerical analysis Numerical calculations Numerical calculationsData processing Operator theory Physics Structural analysis (Engineering) Structural analysis (Engineering)Data processing Structural analysis (Engineering)Matrix methods Topology Variational inequalities (Mathematics)
Alternative Names
J. Tinsley Oden Amerikaans wiskundige
J. Tinsley Oden amerikansk ingeniør og matematikar
J. Tinsley Oden amerikansk ingeniør og matematiker
J. Tinsley Oden amerikansk ingenjör och matematiker
J. Tinsley Oden USamerikanischer Ingenieurwissenschaftler auf dem Gebiet der Mechanik
John Tinsley Oden
Oden, Dž.
Oden, Dž 1936
Oden, Dzh.
Oden, J. T.
Oden, J. T. 1936
Oden, J. T. (John Tinsley)
Oden, J. T. (John Tinsley), 1936
Oden, J. Tinsley.
Oden, J. Tinsley 1936
Oden, J. Tinsley (John Tinsley), 1936
Oden, John T. 1936
Oden, John T. (John Tinsley), 1936
Oden John Tinsley
Oden, John Tinsley 1936
OdenReddy, .. 1936
Tinsley Oden, J.
Tinsley Oden, J. 1936
Tinsley Oden, John
Tinsley Oden, John 1936
Оден, Дж 1936
オーデン, J.T
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