Mathematical Modelling Techniques
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Author |
: Rutherford Aris |
Publisher |
: Courier Corporation |
Total Pages |
: 300 |
Release |
: 1994-01-01 |
ISBN-10 |
: 0486681319 |
ISBN-13 |
: 9780486681313 |
Rating |
: 4/5 (19 Downloads) |
Synopsis Mathematical Modelling Techniques by : Rutherford Aris
"Engaging, elegantly written." — Applied Mathematical Modelling. A distinguished theoretical chemist and engineer discusses the types of models — finite, statistical, stochastic, and more — as well as how to formulate and manipulate them for best results. Filled with numerous examples, the book includes three appendices offering further examples treated in more detail.
Author |
: Thomas Witelski |
Publisher |
: Springer |
Total Pages |
: 309 |
Release |
: 2015-09-18 |
ISBN-10 |
: 9783319230429 |
ISBN-13 |
: 3319230425 |
Rating |
: 4/5 (29 Downloads) |
Synopsis Methods of Mathematical Modelling by : Thomas Witelski
This book presents mathematical modelling and the integrated process of formulating sets of equations to describe real-world problems. It describes methods for obtaining solutions of challenging differential equations stemming from problems in areas such as chemical reactions, population dynamics, mechanical systems, and fluid mechanics. Chapters 1 to 4 cover essential topics in ordinary differential equations, transport equations and the calculus of variations that are important for formulating models. Chapters 5 to 11 then develop more advanced techniques including similarity solutions, matched asymptotic expansions, multiple scale analysis, long-wave models, and fast/slow dynamical systems. Methods of Mathematical Modelling will be useful for advanced undergraduate or beginning graduate students in applied mathematics, engineering and other applied sciences.
Author |
: Edward A. Bender |
Publisher |
: Courier Corporation |
Total Pages |
: 273 |
Release |
: 2012-05-23 |
ISBN-10 |
: 9780486137124 |
ISBN-13 |
: 0486137120 |
Rating |
: 4/5 (24 Downloads) |
Synopsis An Introduction to Mathematical Modeling by : Edward A. Bender
Employing a practical, "learn by doing" approach, this first-rate text fosters the development of the skills beyond the pure mathematics needed to set up and manipulate mathematical models. The author draws on a diversity of fields — including science, engineering, and operations research — to provide over 100 reality-based examples. Students learn from the examples by applying mathematical methods to formulate, analyze, and criticize models. Extensive documentation, consisting of over 150 references, supplements the models, encouraging further research on models of particular interest. The lively and accessible text requires only minimal scientific background. Designed for senior college or beginning graduate-level students, it assumes only elementary calculus and basic probability theory for the first part, and ordinary differential equations and continuous probability for the second section. All problems require students to study and create models, encouraging their active participation rather than a mechanical approach. Beyond the classroom, this volume will prove interesting and rewarding to anyone concerned with the development of mathematical models or the application of modeling to problem solving in a wide array of applications.
Author |
: David A Towers |
Publisher |
: Bloomsbury Publishing |
Total Pages |
: 326 |
Release |
: 2020-06-06 |
ISBN-10 |
: 9781352011272 |
ISBN-13 |
: 1352011271 |
Rating |
: 4/5 (72 Downloads) |
Synopsis Guide to Mathematical Modelling by : David A Towers
A basic introduction to Mathematical Modelling, this book encourages the reader to participate in the investigation of a wide variety of modelling examples. These are carefully paced so that the readers can identify and develop the skills which are required for successful modelling. The examples also promote an appreciation of the enormous range of problems to which mathematical modelling skills can be usefully applied.
Author |
: Rutherford Aris |
Publisher |
: Courier Corporation |
Total Pages |
: 290 |
Release |
: 2012-06-29 |
ISBN-10 |
: 9780486138893 |
ISBN-13 |
: 0486138895 |
Rating |
: 4/5 (93 Downloads) |
Synopsis Mathematical Modelling Techniques by : Rutherford Aris
"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
Author |
: John Berry |
Publisher |
: Gulf Professional Publishing |
Total Pages |
: 157 |
Release |
: 1995-06-17 |
ISBN-10 |
: 9780340614044 |
ISBN-13 |
: 0340614048 |
Rating |
: 4/5 (44 Downloads) |
Synopsis Mathematical Modelling by : John Berry
Assuming virtually no prior knowledge, Modular Mathematics encourages the reader to develop and solve real models, as well as looking at traditional examples. Accessible and concise, it contains tutorial problems, case studies and exercises.
Author |
: Walter J. Meyer |
Publisher |
: Courier Corporation |
Total Pages |
: 450 |
Release |
: 2012-10-23 |
ISBN-10 |
: 9780486137247 |
ISBN-13 |
: 0486137244 |
Rating |
: 4/5 (47 Downloads) |
Synopsis Concepts of Mathematical Modeling by : Walter J. Meyer
Appropriate for undergraduate and graduate students, this text features independent sections that illustrate the most important principles of mathematical modeling, a variety of applications, and classic models. Students with a solid background in calculus and some knowledge of probability and matrix theory will find the material entirely accessible. The range of subjects includes topics from the physical, biological, and social sciences, as well as those of operations research. Discussions cover related mathematical tools and the historical eras from which the applications are drawn. Each section is preceded by an abstract and statement of prerequisites, and answers or hints are provided for selected exercises. 1984 edition.
Author |
: Neil A. Gershenfeld |
Publisher |
: Cambridge University Press |
Total Pages |
: 268 |
Release |
: 1999 |
ISBN-10 |
: 0521570956 |
ISBN-13 |
: 9780521570954 |
Rating |
: 4/5 (56 Downloads) |
Synopsis The Nature of Mathematical Modeling by : Neil A. Gershenfeld
This is a book about the nature of mathematical modeling, and about the kinds of techniques that are useful for modeling. The text is in four sections. The first covers exact and approximate analytical techniques; the second, numerical methods; the third, model inference based on observations; and the last, the special role of time in modeling. Each of the topics in the book would be the worthy subject of a dedicated text, but only by presenting the material in this way is it possible to make so much material accessible to so many people. Each chapter presents a concise summary of the core results in an area. The text is complemented by extensive worked problems.
Author |
: Ian Turner |
Publisher |
: CRC Press |
Total Pages |
: 696 |
Release |
: 1996-09-19 |
ISBN-10 |
: 9781482292190 |
ISBN-13 |
: 148229219X |
Rating |
: 4/5 (90 Downloads) |
Synopsis Mathematical Modeling and Numerical Techniques in Drying Technology by : Ian Turner
Offers information necessary for the development of mathematical models and numerical techniques to solve specific drying problems. The book addresses difficult issues involved with the drying equations of numerical analysis, including mesh generation, discretinization strategies, the nonlinear equation set and the linearized algebraic system, convergance criteria, time step control, experimental validation, optimum methods of visualization results, and more.
Author |
: Jagdev Singh |
Publisher |
: Springer Nature |
Total Pages |
: 433 |
Release |
: 2021-08-26 |
ISBN-10 |
: 9783030771690 |
ISBN-13 |
: 3030771695 |
Rating |
: 4/5 (90 Downloads) |
Synopsis Methods of Mathematical Modelling and Computation for Complex Systems by : Jagdev Singh
This book contains several contemporary topics in the areas of mathematical modelling and computation for complex systems. The readers find several new mathematical methods, mathematical models and computational techniques having significant relevance in studying various complex systems. The chapters aim to enrich the understanding of topics presented by carefully discussing the associated problems and issues, possible solutions and their applications or relevance in other scientific areas of study and research. The book is a valuable resource for graduate students, researchers and educators in understanding and studying various new aspects associated with complex systems. Key Feature • The chapters include theory and application in a mix and balanced way. • Readers find reasonable details of developments concerning a topic included in this book. • The text is emphasized to present in self-contained manner with inclusion of new research problems and questions.