WorldCat Identities

Aris, Rutherford

Overview
Works: 100 works in 497 publications in 3 languages and 8,134 library holdings
Genres: History  Conference papers and proceedings  Textbooks 
Roles: Author, Editor, Other, Honoree, Contributor
Classifications: QA911, 509.22
Publication Timeline
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Most widely held works by Rutherford Aris
Mathematical modelling techniques by Rutherford Aris( Book )

36 editions published between 1978 and 2013 in English and Undetermined and held by 797 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 non-mathematical 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
Springs of scientific creativity : essays on founders of modern science by Rutherford Aris( Book )

20 editions published between 1979 and 2011 in English and held by 754 WorldCat member libraries worldwide

Mathematician Henri Poincaré was boarding a bus when he realized that the transformations of non-Euclidean 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 mid-twentieth century
Vectors, tensors, and the basic equations of fluid mechanics by Rutherford Aris( Book )

36 editions published between 1962 and 2012 in English and Undetermined and held by 743 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>
Variational methods applied to problems of diffusion and reaction by William C Strieder( Book )

13 editions published in 1973 in English and held by 345 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 Point-Surface 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
Elementary chemical reactor analysis by Rutherford Aris( Book )

29 editions published between 1969 and 2013 in English and Undetermined and held by 339 WorldCat member libraries worldwide

Elementary Chemical Reactor Analysis
The mathematical theory of diffusion and reaction in permeable catalysts by Rutherford Aris( Book )

14 editions published in 1975 in English and held by 332 WorldCat member libraries worldwide

The optimal design of chemical reactors; a study in dynamic programming by Rutherford Aris( Book )

20 editions published between 1961 and 2000 in English and Undetermined and held by 314 WorldCat member libraries worldwide

First-order partial differential equations by Hyun-Ku Rhee( Book )

31 editions published between 1986 and 2001 in English and held by 311 WorldCat member libraries worldwide

Introduction to the analysis of chemical reactors by Rutherford Aris( Book )

13 editions published between 1965 and 1972 in English and Russian and held by 272 WorldCat member libraries worldwide

Catalyst design : progress and perspectives by Louis S Hegedus( Book )

8 editions published in 1987 in English and held by 269 WorldCat member libraries worldwide

Mathematical modeling : a chemical engineer's perspective by Rutherford Aris( Book )

13 editions published in 1999 in English and held by 210 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 )

11 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
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 129 WorldCat member libraries worldwide

Surveying a dynamical system : a study of the Gray-Scott reaction in a two-phase reactor by K Alhumaizi( Book )

8 editions published in 1995 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 89 WorldCat member libraries worldwide

Theory and application of hyperbolic systems of quasilinear equations by Hyun-Ku Rhee( Book )

6 editions published between 1989 and 2001 in English and held by 70 WorldCat member libraries worldwide

Questions of uniqueness, stability, and transient behaviour by Rutherford Aris( Book )

5 editions published in 1975 in English and held by 51 WorldCat member libraries worldwide

Theory and application of single equations by Hyun-Ku 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 two-volume text is fully usable on its own. After going over some of the preliminaries, the authors discuss mathematical models that yield first-order 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 first-year grad students with a sound understanding of calculus and elementary ordinary differential equations. 1986 edition. 189 black-and-white illustrations. Author and subject indices
The mathematical understanding of chemical engineering systems : selected papers of Neal R. Amundson by Neal R Amundson( Book )

14 editions published between 1980 and 2014 in English and Undetermined and held by 20 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
 
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Vectors, tensors, and the basic equations of fluid mechanics
Alternative Names
Aris, Gus

Aris, R.

Aris, R. 1929-2005

Aris, R. (Rutherford)

Aris, R. (Rutherford), 1929-2005

Rutherford, Aris

Rutherford Aris Amerikaans ingenieur (1929-2005)

Rutherford Aris Chemical engineer

رادرفورد آریس

Languages
English (287)

German (1)

Russian (1)

Covers
Vectors, tensors, and the basic equations of fluid mechanicsElementary chemical reactor analysisThe optimal design of chemical reactors; a study in dynamic programmingFirst-order partial differential equationsMathematical modeling : a chemical engineer's perspectivePatterns and dynamics in reactive mediaSurveying a dynamical system : a study of the Gray-Scott reaction in a two-phase reactorTheory and application of hyperbolic systems of quasilinear equationsTheory and application of single equations