Aris, Rutherford
Overview
Works:  123 works in 561 publications in 4 languages and 8,523 library holdings 

Genres:  History Conference papers and proceedings Textbooks 
Roles:  Author, Editor, Compiler, Other, Honoree, Contributor 
Classifications:  QA911, 511.8 
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
Springs of scientific creativity : essays on founders of modern science by
Rutherford Aris(
Book
)
23 editions published between 1979 and 2011 in English and held by 1,322 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
23 editions published between 1979 and 2011 in English and held by 1,322 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
Vectors, tensors, and the basic equations of fluid mechanics by
Rutherford Aris(
Book
)
47 editions published between 1962 and 2012 in English and held by 1,064 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>
47 editions published between 1962 and 2012 in English and held by 1,064 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>
Mathematical modelling techniques by
Rutherford Aris(
Book
)
24 editions published between 1978 and 1985 in English and Undetermined and held by 625 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
24 editions published between 1978 and 1985 in English and Undetermined and held by 625 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
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 522 WorldCat member libraries worldwide
Retells the Biblical story of God's creation of the world and the subsequent disobedience of Adam and Eve
14 editions published in 1964 in English and held by 522 WorldCat member libraries worldwide
Retells the Biblical story of God's creation of the world and the subsequent disobedience of Adam and Eve
The optimal design of chemical reactors; a study in dynamic programming by
Rutherford Aris(
Book
)
21 editions published between 1961 and 2016 in English and held by 486 WorldCat member libraries worldwide
21 editions published between 1961 and 2016 in English and held by 486 WorldCat member libraries worldwide
Elementary chemical reactor analysis by
Rutherford Aris(
Book
)
32 editions published between 1969 and 2013 in English and Undetermined and held by 456 WorldCat member libraries worldwide
Elementary Chemical Reactor Analysis
32 editions published between 1969 and 2013 in English and Undetermined and held by 456 WorldCat member libraries worldwide
Elementary Chemical Reactor Analysis
Mathematical modeling : a chemical engineer's perspective by
Rutherford Aris(
Book
)
16 editions published between 1978 and 1999 in English and held by 413 WorldCat member libraries worldwide
"Mathematical modeling is the art and craft of building a system of equations which is both sufficiently complex to do justice to physical reality and sufficiently simple to give real insight into the situation. This book provides an elementary introduction to the craft by one of the profession's most distinguished practitioners. Though written from a chemical engineering viewpoint, the text presents principles and pitfalls common to all mathematical modeling of physical systems."Jacket
16 editions published between 1978 and 1999 in English and held by 413 WorldCat member libraries worldwide
"Mathematical modeling is the art and craft of building a system of equations which is both sufficiently complex to do justice to physical reality and sufficiently simple to give real insight into the situation. This book provides an elementary introduction to the craft by one of the profession's most distinguished practitioners. Though written from a chemical engineering viewpoint, the text presents principles and pitfalls common to all mathematical modeling of physical systems."Jacket
The mathematical theory of diffusion and reaction in permeable catalysts by
Rutherford Aris(
Book
)
27 editions published in 1975 in English and held by 395 WorldCat member libraries worldwide
27 editions published in 1975 in English and held by 395 WorldCat member libraries worldwide
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 395 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 395 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
Firstorder partial differential equations by
HyunKu Rhee(
Book
)
19 editions published between 1986 and 2013 in English and held by 278 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
19 editions published between 1986 and 2013 in English and held by 278 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
Catalyst design : progress and perspectives by
L. Louis Hegedus(
Book
)
11 editions published in 1987 in English and Undetermined and held by 272 WorldCat member libraries worldwide
11 editions published in 1987 in English and Undetermined and held by 272 WorldCat member libraries worldwide
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 271 WorldCat member libraries worldwide
14 editions published between 1965 and 1972 in English and Russian and held by 271 WorldCat member libraries worldwide
The mathematical understanding of chemical engineering systems : selected papers of Neal R. Amundson by
Neal R Amundson(
Book
)
15 editions published between 1980 and 2014 in English and Undetermined and held by 228 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
15 editions published between 1980 and 2014 in English and Undetermined and held by 228 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
Patterns and dynamics in reactive media by
Rutherford Aris(
Book
)
13 editions published in 1991 in English and German and held by 227 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
13 editions published in 1991 in English and German and held by 227 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
Mathematical modelling techniques by
Rutherford Aris(
Book
)
14 editions published between 1994 and 2013 in English and Undetermined and held by 213 WorldCat member libraries worldwide
What is a model?  The different types of model  How to formulate a model  How should a model be manipulated into most responsive form?  How should a model be evaluated?
14 editions published between 1994 and 2013 in English and Undetermined and held by 213 WorldCat member libraries worldwide
What is a model?  The different types of model  How to formulate a model  How should a model be manipulated into most responsive form?  How should a model be evaluated?
Theory and application of single equations by
HyunKu Rhee(
)
8 editions published between 1986 and 2001 in English and held by 139 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
8 editions published between 1986 and 2001 in English and held by 139 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
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 132 WorldCat member libraries worldwide
8 editions published in 1995 in English and held by 132 WorldCat member libraries worldwide
Advances in computational and mathematical techniques in chemical engineering by
American Institute of Chemical Engineers(
Book
)
6 editions published between 1060 and 1960 in English and held by 131 WorldCat member libraries worldwide
6 editions published between 1060 and 1960 in English and held by 131 WorldCat member libraries worldwide
Explicatio formarum litterarum = The unfolding of letterforms : from the first century to the fifteenth by
Rutherford Aris(
Book
)
6 editions published in 1990 in English and held by 94 WorldCat member libraries worldwide
6 editions published in 1990 in English and held by 94 WorldCat member libraries worldwide
Firstorder partial differential equations by
HyunKu Rhee(
Book
)
17 editions published between 1986 and 2014 in English and held by 83 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
17 editions published between 1986 and 2014 in English and held by 83 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
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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
 Swinney, H. L. 1939 Editor
 Aronson, Donald G. 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 Comstock, Ralph E Consultants Creative ability in science Differentiable dynamical systems 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), Moos, Malcolm, Paleography, Latin Physicists Physics Programming (Mathematics) Research Scientists Serrin, J.(James), Stuewer, Roger H Universities and collegesFaculty University of Minnesota University of Minnesota.Department of Chemical Engineering Vector analysis White, James G Writing