Background
Aris, Rutherford was born on September 15, 1929 in Bournemouth, England. Son of Algernon Pollock and Janet (Elford) Aris. came to the United States, 1955, naturalized, 1962.
( This excellent text develops and utilizes mathematical ...)
This excellent text develops and utilizes mathematical concepts to illuminate physical theories. Directed primarily to engineers, physicists, and applied mathematicians at 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. Essentially an introductory text, intended for readers with some acquaintance with the calculus of partial differentiation and multiple integration, it first reviews the necessary background material, then proceeds to explore the algebra and calculus of Cartesian vectors and tensors. Subsequent chapters take up the kinematics of fluid motion, stress in fluids, equations of motion and energy in Cartesian coordinates, tensors, and equations of fluid flow in Euclidean space. The concluding chapters discuss the geometry of surfaces in space, the equations of surface flow and equations for reacting fluids. Two invaluable appendixes present a resume of 3-dimensional coordinate geometry and matrix theory and another of implicit functions and Jacobians. A generous number of exercises are an integral part of the presentation, providing numerous opportunities for manipulation and extension of the concepts presented.
http://www.amazon.com/gp/product/0486661105/?tag=prabook0b-20
(Mathematics in Science and Engineering, Volume 3: The Opt...)
Mathematics in Science and Engineering, Volume 3: The Optimal Design of Chemical Reactors: A Study in Dynamic Programming covers some of the significant problems of chemical reactor engineering from a unified point of view. This book discusses the principle of optimality in its general baring on chemical processes. Organized into nine chapters, this volume begins with an overview of the whole range of optimal problems in chemical reactor design. This text then provides the fundamental equations for reactions and reactors. Other chapters consider the objective function needed to define a realistic optimal problem and explain separately the main types of chemical reactors and their associated problems. This book discusses as well the three problems with a stochastic element. The final chapter deals with the optimal operation of existing reactors that may be regarded as partial designs in which only some of the variables can be optimally chosen. This book is a valuable resource for chemical engineers.
http://www.amazon.com/gp/product/B0006AX9AC/?tag=prabook0b-20
( This first volume of a highly regarded two-volume text ...)
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.
http://www.amazon.com/gp/product/0486419932/?tag=prabook0b-20
( "Engaging, elegantly written." — Applied Mathematical M...)
"Engaging, elegantly written." — Applied Mathematical Modelling Mathematical modelling is a highly useful methodology designed to enable mathematicians, physicists and other scientists to formulate equations from a given nonmathematical situation. In this elegantly written volume, a distinguished theoretical chemist and engineer sets down helpful rules not only for setting up models but also for solving the mathematical problems they pose and for evaluating models. The author begins with a discussion of the term "model," followed by clearly presented examples of the different types of models (finite, statistical, stochastic, etc.). He then goes on to discuss the formulation of a model and how to manipulate it into its most responsive form. Along the way Dr. Aris develops a delightful list of useful maxims for would-be modellers. In the final chapter he deals not only with the empirical validation of models but also with the comparison of models among themselves, as well as with the extension of a model beyond its original "domain of validity." Filled with numerous examples, this book includes three appendices offering further examples treated in more detail. These concern longitudinal diffusion in a packed bed, the coated tube chromatograph with Taylor diffusion and the stirred tank reactor. Six journal articles, a useful list of references and subject and name indexes complete this indispensable, well-written guide. "A most useful, readable-and stimulating-book, to be read both for pleasure and for enlightenment." — Bulletin of the Institute of Mathematics and Its Applications
http://www.amazon.com/gp/product/0486681319/?tag=prabook0b-20
(Treats the fundamentals of chemical reactor analysis and ...)
Treats the fundamentals of chemical reactor analysis and provides essential mathematics. Each subject is introduced with a simple example before the general case is developed, and covers stoichiometry, thermochemistry, chemical kinetics, and several models of basic reactors.
http://www.amazon.com/gp/product/0409902217/?tag=prabook0b-20
educator applied mathematician
Aris, Rutherford was born on September 15, 1929 in Bournemouth, England. Son of Algernon Pollock and Janet (Elford) Aris. came to the United States, 1955, naturalized, 1962.
Bachelor of Science (special) with 1st class honours in Math, London University, England, 1948. Doctor of Philosophy, London University, England, 1960. Doctor of Science, London University, England, 1964.
Student, Edinburgh University, Scotland, 1950. Honorary Doctor of Science, University Exeter, 1984. Honorary Doctor of Science, Clarkson University, 1985.
Doctor of Engineering honoris causa, University Notre Dame, 1990. Ch.M., fellow, Institute of Mathematics Appications, 1992. Doctor Engineering honoris causa, Technology University, Athens, Greece.
Technology officer Billingham division, Imperial Chemical Industries Ltd., 1950-1955;
research fellow, University of Minnesota, 1955-1956;
lecturer technical mathematics, Edinburgh U., 1956-1958;
member of faculty, University of Minnesota, since 1958;
professor chemical engineering, University of Minnesota, since 1963;
Regents' professor, University of Minnesota, 1978-1996;
Regents professor emeritus, University of Minnesota, since 1996. O.A. Hougen visiting professor University of Wisconsin, 1979. Sherman Fairchild Distinguished scholar California Institute Technology, 1980-1981.
Consultant to industry, lecturer, since 1961. IXth Centennial lecturer in chemical engineering U. Bologna, 1988. Member Institute for Advanced Study, Princeton, 1994.
(Mathematics in Science and Engineering, Volume 3: The Opt...)
(This monograph is an account of some problems involving d...)
( This excellent text develops and utilizes mathematical ...)
(Treats the fundamentals of chemical reactor analysis and ...)
( This first volume of a highly regarded two-volume text ...)
( "Engaging, elegantly written." — Applied Mathematical M...)
(NY 1964 1st Blaisdell. Hardcover. Octavo, 148pp., cloth. ...)
Fellow American Academy Arts and Sciences, Institute Mathematics and Applications. Member National Academy of Engineering, Society National Philosophy, Society Industrial and Applied Mathematics, American Institute Chemical Engineers (R.H. Wilhelm award 1975, Institute lecturer 1997), Mediaeval Academy American, Society Scribes and Illuminators, International Society Mathematics Modeling.
Married Claire Mercedes Holman, January 1, 1958.