Aris, Rutherford
Overview
Works:  114 works in 559 publications in 4 languages and 8,567 library holdings 

Genres:  History Conference papers and proceedings Textbooks 
Roles:  Author, Editor, Compiler, Translator, Other, Honoree, Contributor 
Classifications:  TP157, 509.22 
Publication Timeline
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Most widely held works about
Rutherford Aris
 Changing issues in chemical engineering : papers in honour of Rutherford Aris on the occasion of his 60th birthday( Book )
 Resortes de la creatividad científica : ensayos sobre fundadores de la ciencia moderna by Rutherford Aris( Book )
 The Regents' Professors of the University of Minnesota( Book )
 Interview with Neal Amundson by Neal R Amundson( Book )
 Aris, Rutherford : Applied Mathematics, Chemical Engineering( )
Most widely held works by
Rutherford Aris
Mathematical modelling techniques by
Rutherford Aris(
Book
)
39 editions published between 1978 and 2013 in English and Undetermined and held by 800 WorldCat member libraries worldwide
"Mathematical modelling techniques explains the process by which to arrive at useful mathematical representations, thus showing the reader how to formulate the necessary equations from a given nonmathematical situation. The heart of the book gives ways in which the equations can be made dimensionless and reduced to their least number and simplest form. Numerous examples are given in the text, and three particular situations are discussed in detail in the appendices. The emphasis throughout is on the craft of mathematical modelling, rather than on solutions of the mathematical equations themselves. In this way the author makes explicit the skills which an experienced mathematical modeller develops and uses almost unconsciously, so the volume should be of particular value to the beginner and of interest to the practitioner." Cover
39 editions published between 1978 and 2013 in English and Undetermined and held by 800 WorldCat member libraries worldwide
"Mathematical modelling techniques explains the process by which to arrive at useful mathematical representations, thus showing the reader how to formulate the necessary equations from a given nonmathematical situation. The heart of the book gives ways in which the equations can be made dimensionless and reduced to their least number and simplest form. Numerous examples are given in the text, and three particular situations are discussed in detail in the appendices. The emphasis throughout is on the craft of mathematical modelling, rather than on solutions of the mathematical equations themselves. In this way the author makes explicit the skills which an experienced mathematical modeller develops and uses almost unconsciously, so the volume should be of particular value to the beginner and of interest to the practitioner." Cover
Vectors, tensors, and the basic equations of fluid mechanics by
Rutherford Aris(
Book
)
45 editions published between 1962 and 2012 in English and Undetermined and held by 786 WorldCat member libraries worldwide
<DIV>This introductory text is geared toward engineers, physicists, and applied mathematicians at the advanced undergraduate and graduate levels. It applies the mathematics of Cartesian and general tensors to physical field theories and demonstrates them chiefly in terms of the theory of fluid mechanics. Numerous exercises appear throughout the text. 1962 edition.</DIV>
45 editions published between 1962 and 2012 in English and Undetermined and held by 786 WorldCat member libraries worldwide
<DIV>This introductory text is geared toward engineers, physicists, and applied mathematicians at the advanced undergraduate and graduate levels. It applies the mathematics of Cartesian and general tensors to physical field theories and demonstrates them chiefly in terms of the theory of fluid mechanics. Numerous exercises appear throughout the text. 1962 edition.</DIV>
Springs of scientific creativity : essays on founders of modern science by
Rutherford Aris(
Book
)
21 editions published between 1979 and 2011 in English and held by 742 WorldCat member libraries worldwide
Mathematician Henri Poincaré was boarding a bus when he realized that the transformations of nonEuclidean geometry were just those he needed in his research on the theory of functions. He did not have to interrupt his conversation, still less to verify the equation in detail; his insight was complete at that point. Poincaré's insight into his own creativity  his awareness that preliminary cogitation and the working of the subconscious had prepared his mind for an intuitive flash of recognition  is just one of many possible analyses of scientific creativity, a subject as fascinating as it is elusive. The authors of this book have chosen to search for the springs of scientific creativity by examining the lives and work of a dozen innovative thinkers in the fields of mathematics, physics, and chemistry from the seventeenth down to the midtwentieth century
21 editions published between 1979 and 2011 in English and held by 742 WorldCat member libraries worldwide
Mathematician Henri Poincaré was boarding a bus when he realized that the transformations of nonEuclidean geometry were just those he needed in his research on the theory of functions. He did not have to interrupt his conversation, still less to verify the equation in detail; his insight was complete at that point. Poincaré's insight into his own creativity  his awareness that preliminary cogitation and the working of the subconscious had prepared his mind for an intuitive flash of recognition  is just one of many possible analyses of scientific creativity, a subject as fascinating as it is elusive. The authors of this book have chosen to search for the springs of scientific creativity by examining the lives and work of a dozen innovative thinkers in the fields of mathematics, physics, and chemistry from the seventeenth down to the midtwentieth century
Discrete dynamic programming; an introduction to the optimization of staged processes by
Rutherford Aris(
Book
)
14 editions published in 1964 in English and held by 530 WorldCat member libraries worldwide
14 editions published in 1964 in English and held by 530 WorldCat member libraries worldwide
The mathematical theory of diffusion and reaction in permeable catalysts by
Rutherford Aris(
Book
)
29 editions published in 1975 in English and held by 396 WorldCat member libraries worldwide
29 editions published in 1975 in English and held by 396 WorldCat member libraries worldwide
Elementary chemical reactor analysis by
Rutherford Aris(
Book
)
30 editions published between 1969 and 2013 in English and Undetermined and held by 384 WorldCat member libraries worldwide
Elementary Chemical Reactor Analysis
30 editions published between 1969 and 2013 in English and Undetermined and held by 384 WorldCat member libraries worldwide
Elementary Chemical Reactor Analysis
Variational methods applied to problems of diffusion and reaction by
William C Strieder(
Book
)
17 editions published in 1973 in English and Undetermined and held by 350 WorldCat member libraries worldwide
This monograph is an account of some problems involving diffusion or diffusion with simultaneous reaction that can be illuminated by the use of variational principles. It was written during a period that included sabbatical leaves of one of us (W.S.) at the University of Minnesota and the other (R.A.) at the University of Cambridge and we are grateful to the Petroleum Research Fund for helping to support the former and the Guggenheim Foundation for making possible the latter. We would also like to thank Stephen Prager for getting us together in the first place and for showing how interesting and useful these methods can be. We have also benefitted from correspondence with Dr. A.M. Arthurs of the University of York and from the counsel of Dr. B.D. Coleman the general editor of this series. Table of Contents Chapter 1. Introduction and Preliminaries . 1. 1. General Survey 1 1. 2. Phenomenological Descriptions of Diffusion and Reaction 2 1. 3. Correlation Functions for Random Suspensions 4 1. 4. Mean Free Path Statistics . 8 1. 5. Void PointSurface Statistics . 11 1. 6. Variational Principles Applied to the Diffusion Equation. 12 1. 7. Notation. 16 Chapter 2. Diffusion Through a Porous Medium . 18 2. 1. Introduction 18 2. 2. Diffusion Through an Isotropic Porous Medium 18 2. 3. Variational Formulation for De . 20 2. 4. Bounds on De for an Isotropic Suspension 22 2. 5
17 editions published in 1973 in English and Undetermined and held by 350 WorldCat member libraries worldwide
This monograph is an account of some problems involving diffusion or diffusion with simultaneous reaction that can be illuminated by the use of variational principles. It was written during a period that included sabbatical leaves of one of us (W.S.) at the University of Minnesota and the other (R.A.) at the University of Cambridge and we are grateful to the Petroleum Research Fund for helping to support the former and the Guggenheim Foundation for making possible the latter. We would also like to thank Stephen Prager for getting us together in the first place and for showing how interesting and useful these methods can be. We have also benefitted from correspondence with Dr. A.M. Arthurs of the University of York and from the counsel of Dr. B.D. Coleman the general editor of this series. Table of Contents Chapter 1. Introduction and Preliminaries . 1. 1. General Survey 1 1. 2. Phenomenological Descriptions of Diffusion and Reaction 2 1. 3. Correlation Functions for Random Suspensions 4 1. 4. Mean Free Path Statistics . 8 1. 5. Void PointSurface Statistics . 11 1. 6. Variational Principles Applied to the Diffusion Equation. 12 1. 7. Notation. 16 Chapter 2. Diffusion Through a Porous Medium . 18 2. 1. Introduction 18 2. 2. Diffusion Through an Isotropic Porous Medium 18 2. 3. Variational Formulation for De . 20 2. 4. Bounds on De for an Isotropic Suspension 22 2. 5
The optimal design of chemical reactors; a study in dynamic programming by
Rutherford Aris(
Book
)
20 editions published between 1961 and 2016 in English and Undetermined and held by 310 WorldCat member libraries worldwide
20 editions published between 1961 and 2016 in English and Undetermined and held by 310 WorldCat member libraries worldwide
Firstorder partial differential equations by
HyunKu Rhee(
Book
)
24 editions published between 1986 and 2014 in English and held by 300 WorldCat member libraries worldwide
This first volume of a highly regarded twovolume text is fully usable on its own. After going over some of the preliminaries, the authors discuss mathematical models that yield firstorder partial differential equations; motivations, classifications, and some methods of solution; linear and semilinear equations; chromatographic equations with finite rate expressions; homogeneous and nonhomogeneous quasilinear equations; formation and propagation of shocks; conservation equations, weak solutions, and shock layers; nonlinear equations; and variational problems. Exercises appear at the end of most sections. This volume is geared to advanced undergraduates or firstyear grad students with a sound understanding of calculus and elementary ordinary differential equations. 1986 edition. 189 blackandwhite illustrations. Author and subject indices
24 editions published between 1986 and 2014 in English and held by 300 WorldCat member libraries worldwide
This first volume of a highly regarded twovolume text is fully usable on its own. After going over some of the preliminaries, the authors discuss mathematical models that yield firstorder partial differential equations; motivations, classifications, and some methods of solution; linear and semilinear equations; chromatographic equations with finite rate expressions; homogeneous and nonhomogeneous quasilinear equations; formation and propagation of shocks; conservation equations, weak solutions, and shock layers; nonlinear equations; and variational problems. Exercises appear at the end of most sections. This volume is geared to advanced undergraduates or firstyear grad students with a sound understanding of calculus and elementary ordinary differential equations. 1986 edition. 189 blackandwhite illustrations. Author and subject indices
Introduction to the analysis of chemical reactors by
Rutherford Aris(
Book
)
14 editions published between 1965 and 1972 in English and Russian and held by 276 WorldCat member libraries worldwide
14 editions published between 1965 and 1972 in English and Russian and held by 276 WorldCat member libraries worldwide
Catalyst design : progress and perspectives by
L. Louis Hegedus(
Book
)
11 editions published in 1987 in English and Undetermined and held by 269 WorldCat member libraries worldwide
11 editions published in 1987 in English and Undetermined and held by 269 WorldCat member libraries worldwide
Mathematical modeling : a chemical engineer's perspective by
Rutherford Aris(
Book
)
16 editions published between 1978 and 1999 in English and held by 211 WorldCat member libraries worldwide
Mathematical modeling is the art and craft of building a system of equations that is both sufficiently complex to do justice to physical reality and sufficiently simple to give real insight into the situation. Mathematical Modeling: A Chemical Engineer's Perspective provides an elementary introduction to the craft by one of the century's most distinguished practitioners. Though the book is written from a chemical engineering viewpoint, the principles and pitfalls are common to all mathematical modeling of physical systems. Seventeen of the author's frequently cited papers are reprinted to illustrate applications to convective diffusion, formal chemical kinetics, heat and mass transfer, and the philosophy of modeling. An essay of acknowledgments, asides, and footnotes captures personal reflections on academic life and personalities. * Describes pitfalls as well as principles of mathematical modeling * Presents twenty examples of engineering problems * Features seventeen reprinted papers * Presents personal reflections on some of the great natural philosophers * Emphasizes modeling procedures that precede extensive calculations
16 editions published between 1978 and 1999 in English and held by 211 WorldCat member libraries worldwide
Mathematical modeling is the art and craft of building a system of equations that is both sufficiently complex to do justice to physical reality and sufficiently simple to give real insight into the situation. Mathematical Modeling: A Chemical Engineer's Perspective provides an elementary introduction to the craft by one of the century's most distinguished practitioners. Though the book is written from a chemical engineering viewpoint, the principles and pitfalls are common to all mathematical modeling of physical systems. Seventeen of the author's frequently cited papers are reprinted to illustrate applications to convective diffusion, formal chemical kinetics, heat and mass transfer, and the philosophy of modeling. An essay of acknowledgments, asides, and footnotes captures personal reflections on academic life and personalities. * Describes pitfalls as well as principles of mathematical modeling * Presents twenty examples of engineering problems * Features seventeen reprinted papers * Presents personal reflections on some of the great natural philosophers * Emphasizes modeling procedures that precede extensive calculations
Patterns and dynamics in reactive media by
Rutherford Aris(
Book
)
12 editions published in 1991 in English and German and held by 169 WorldCat member libraries worldwide
Ever since the seminal works on traveling waves and morphogenesis by Fisher, by Kolmogorov, Petrovski and Piscunov, and by Turing, scientists from many disciplines have been fascinated by questions concerning the formation of steady or dynamic patterns in reactive media. Contributions to this volume have been made by chemists, chemical engineers, mathematicians (both pure and applied), and physicists. The topics covered range from reports of experimental studies, through descriptions of numerical experiments, to rather abstract theoretical investigations, each exhibiting different aspects of a very diverse field
12 editions published in 1991 in English and German and held by 169 WorldCat member libraries worldwide
Ever since the seminal works on traveling waves and morphogenesis by Fisher, by Kolmogorov, Petrovski and Piscunov, and by Turing, scientists from many disciplines have been fascinated by questions concerning the formation of steady or dynamic patterns in reactive media. Contributions to this volume have been made by chemists, chemical engineers, mathematicians (both pure and applied), and physicists. The topics covered range from reports of experimental studies, through descriptions of numerical experiments, to rather abstract theoretical investigations, each exhibiting different aspects of a very diverse field
The mathematical understanding of chemical engineering systems : selected papers of Neal R. Amundson by
Neal R Amundson(
Book
)
13 editions published between 1980 and 2014 in English and Undetermined and held by 160 WorldCat member libraries worldwide
Mathematical Understanding of Chemical Engineering Systems is a collection of articles that covers the mathematical model involved in the practice of chemical engineering. The materials of the book are organized thematically into section. The text first covers the historical development of chemical engineering, and then proceeds to tackling a much more technical and specialized topics in the subsequent sections. The second section talks about the physical separation process, while the third section deals with stirred tank stability and control. Next, the book tackles polymerization and particl
13 editions published between 1980 and 2014 in English and Undetermined and held by 160 WorldCat member libraries worldwide
Mathematical Understanding of Chemical Engineering Systems is a collection of articles that covers the mathematical model involved in the practice of chemical engineering. The materials of the book are organized thematically into section. The text first covers the historical development of chemical engineering, and then proceeds to tackling a much more technical and specialized topics in the subsequent sections. The second section talks about the physical separation process, while the third section deals with stirred tank stability and control. Next, the book tackles polymerization and particl
Surveying a dynamical system : a study of the GrayScott reaction in a twophase reactor by
K Alhumaizi(
Book
)
8 editions published in 1995 in English and held by 130 WorldCat member libraries worldwide
8 editions published in 1995 in English and held by 130 WorldCat member libraries worldwide
Advances in computational and mathematical techniques in chemical engineering by
American Institute of Chemical Engineers(
Book
)
5 editions published between 1060 and 1960 in English and held by 128 WorldCat member libraries worldwide
5 editions published between 1060 and 1960 in English and held by 128 WorldCat member libraries worldwide
Explicatio formarum litterarum = The unfolding of letterforms : from the first century to the fifteenth by
Rutherford Aris(
Book
)
4 editions published in 1990 in English and held by 91 WorldCat member libraries worldwide
4 editions published in 1990 in English and held by 91 WorldCat member libraries worldwide
Theory and application of hyperbolic systems of quasilinear equations by
HyunKu Rhee(
Book
)
6 editions published between 1989 and 2001 in English and held by 69 WorldCat member libraries worldwide
6 editions published between 1989 and 2001 in English and held by 69 WorldCat member libraries worldwide
Theory and application of single equations by
HyunKu Rhee(
Book
)
7 editions published between 1986 and 2001 in English and held by 37 WorldCat member libraries worldwide
This first volume of a highly regarded twovolume text is fully usable on its own. After going over some of the preliminaries, the authors discuss mathematical models that yield firstorder partial differential equations; motivations, classifications, and some methods of solution; linear and semilinear equations; chromatographic equations with finite rate expressions; homogeneous and nonhomogeneous quasilinear equations; formation and propagation of shocks; conservation equations, weak solutions, and shock layers; nonlinear equations; and variational problems. Exercises appear at the end of most sections. This volume is geared to advanced undergraduates or firstyear grad students with a sound understanding of calculus and elementary ordinary differential equations. 1986 edition. 189 blackandwhite illustrations. Author and subject indices
7 editions published between 1986 and 2001 in English and held by 37 WorldCat member libraries worldwide
This first volume of a highly regarded twovolume text is fully usable on its own. After going over some of the preliminaries, the authors discuss mathematical models that yield firstorder partial differential equations; motivations, classifications, and some methods of solution; linear and semilinear equations; chromatographic equations with finite rate expressions; homogeneous and nonhomogeneous quasilinear equations; formation and propagation of shocks; conservation equations, weak solutions, and shock layers; nonlinear equations; and variational problems. Exercises appear at the end of most sections. This volume is geared to advanced undergraduates or firstyear grad students with a sound understanding of calculus and elementary ordinary differential equations. 1986 edition. 189 blackandwhite illustrations. Author and subject indices
Firstorder partial differential equations by
HyunKu Rhee(
Book
)
10 editions published between 1986 and 2013 in English and held by 23 WorldCat member libraries worldwide
Second volume of a highly regarded twovolume set, fully usable on its own, examines physical systems that can usefully be modeled by equations of the first order. Examples are drawn from a wide range of scientific and engineering disciplines. The book begins with a consideration of pairs of quasilinear hyperbolic equations of the first order and goes on to explore multicomponent chromatography, complications of countercurrent movingbed adsorbers, the adiabatic adsorption column, and chemical reaction in countercurrent reactors. Exercises appear at the end of most sections. Accessible to any
10 editions published between 1986 and 2013 in English and held by 23 WorldCat member libraries worldwide
Second volume of a highly regarded twovolume set, fully usable on its own, examines physical systems that can usefully be modeled by equations of the first order. Examples are drawn from a wide range of scientific and engineering disciplines. The book begins with a consideration of pairs of quasilinear hyperbolic equations of the first order and goes on to explore multicomponent chromatography, complications of countercurrent movingbed adsorbers, the adiabatic adsorption column, and chemical reaction in countercurrent reactors. Exercises appear at the end of most sections. Accessible to any
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Related Identities
 Stuewer, Roger H. Editor
 Davis, H. Ted (Howard Ted) Editor
 Amundson, Neal R. (Neal Russell) 19162011 Author
 Rhee, HyunKu 1939 Author
 Strieder, William C. 1938 Author
 Hegedus, L. Louis 1941 Other
 Varma, Arvind Contributor Editor
 Lowe, Elias A. Other Author Editor
 Aronson, Donald G. Editor
 Swinney, H. L. 1939 Editor
Useful Links
Associated Subjects
Amundson, Neal R.(Neal Russell), Aris, Rutherford Bifurcation theory Calculus of tensors Calculus of variations Calligraphy Canada Catalysis Catalysts Chaotic behavior in systems Chemical engineering Chemical engineeringMathematical models Chemical kinetics Chemical reactionsMathematical models Chemical reactors CombustionMathematical models Computers Consultants Creative ability in science Differentiable dynamical systems Differential equations, Hyperbolic Differential equations, Partial Diffusion DiffusionMathematical models Dynamic programming Fluid dynamics Fluid mechanics Heller, Walter W Heterogeneous catalysis Hurwicz, Leonid Manuscripts, Latin Manuscripts, Latin (Medieval and modern) Manuscripts, Medieval Mathematical models Meehl, Paul E.(Paul Everett), Ney, Edward Purdy, Paleography, Latin Physicists Physics Programming (Mathematics) Quasilinearization Research Scientists Serrin, J.(James), Universities and collegesFaculty University of Minnesota University of Minnesota.Department of Chemical Engineering Vector analysis White, James G Writing