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Mathematical Modeling

Mathematical Modeling Author Mark M. Meerschaert
ISBN-10 0123708575
Release 2007
Pages 335
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Mathematical Modeling 3e is a general introduction to an increasingly crucial topic for today's mathematicians. Unlike textbooks focused on one kind of mathematical model, this book covers the broad spectrum of modeling problems, from optimization to dynamical systems to stochastic processes. Mathematical modeling is the link between mathematics and the rest of the world. Meerschaert shows how to refine a question, phrasing it in precise mathematical terms. Then he encourages students to reverse the process, translating the mathematical solution back into a comprehensible, useful answer to the original question. This textbook mirrors the process professionals must follow in solving complex problems. Each chapter in this book is followed by a set of challenging exercises. These exercises require significant effort on the part of the student, as well as a certain amount of creativity. Meerschaert did not invent the problems in this book--they are real problems, not designed to illustrate the use of any particular mathematical technique. Meerschaert's emphasis on principles and general techniques offers students the mathematical background they need to model problems in a wide range of disciplines. This new edition will be accompanied by expanded and enhanced on-line support for instructors. MATLAB material will be added to complement existing support for Maple, Mathematica, and other software packages, and the solutions manual will be provided both in hard copy and on the web. * Increased support for instructors, including MATLAB material as well as other on-line resources * New sections on time series analysis and diffusion models * Additional problems with international focus such as whale and dolphin populations, plus updated optimization problems



An Introduction to Mathematical Modeling

An Introduction to Mathematical Modeling Author Edward A. Bender
ISBN-10 9780486137124
Release 2012-05-23
Pages 272
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Accessible text features over 100 reality-based examples pulled from the science, engineering, and operations research fields. Prerequisites: ordinary differential equations, continuous probability. Numerous references. Includes 27 black-and-white figures. 1978 edition.



Mathematical Modelling Techniques

Mathematical Modelling Techniques Author Rutherford Aris
ISBN-10 9780486138893
Release 2012-06-29
Pages 288
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Highly useful volume discusses the types of models, how to formulate and manipulate them for best results. Numerous examples.



Mathematical Modelling

Mathematical Modelling Author C Haines
ISBN-10 9780857099419
Release 2007-08-01
Pages 510
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This book continues the ICTMA tradition of influencing teaching and learning in the application of mathematical modelling. Each chapter shows how real life problems can be discussed during university lectures, in school classrooms and industrial research. International experts contribute their knowledge and experience by providing analysis, insight and comment whilst tackling large and complex problems by applying mathematical modelling. This book covers the proceedings from the Twelfth International Conference on the Teaching of Mathematical Modelling and Applications. Covers the proceedings from the Twelfth International Conference on the Teaching of Mathematical Modelling and Applications Continues the ICTMA tradition of influencing teaching and learning in the application of mathematical modelling Shows how real life problems can be discussed during university lectures, in school classrooms and industrial research



Mathematical Modelling

Mathematical Modelling Author Jagat Narain Kapur
ISBN-10 812240006X
Release 1988-01-01
Pages 259
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Each Chapter Of The Book Deals With Mathematical Modelling Through One Or More Specified Techniques. Thus There Are Chapters On Mathematical Modelling Through Algebra, Geometry, Trigonometry And Calculus, Through Ordinary Differential Equations Of First And Second Order, Through Systems Of Differential Equations, Through Difference Equations, Through Partial Differential Equations, Through Functional Equations And Integral Equations, Through Delay-Differential, Differential-Difference And Integro-Differential Equations, Through Calculus Of Variations And Dynamic Programming, Through Graphs, Through Mathematical Programming, Maximum Principle And Maximum Entropy Principle.Each Chapter Contains Mathematical Models From Physical, Biological, Social, Management Sciences And Engineering And Technology And Illustrates Unity In Diversity Of Mathematical Sciences.The Book Contains Plenty Of Exercises In Mathematical Modelling And Is Aimed To Give A Panoramic View Of Applications Of Modelling In All Fields Of Knowledge. It Contains Both Probabilistic And Deterministic Models.The Book Presumes Only The Knowledge Of Undergraduate Mathematics And Can Be Used As A Textbook At Senior Undergraduate Or Post-Graduate Level For A One Or Two- Semester Course For Students Of Mathematics, Statistics, Physical, Social And Biological Sciences And Engineering. It Can Also Be Useful For All Users Of Mathematics And For All Mathematical Modellers.



Mathematical Modelling

Mathematical Modelling Author Reinhard Illner
ISBN-10 9780821836507
Release 2005
Pages 196
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Mathematical modelling is a subject without boundaries. It is the means by which mathematics becomes useful to virtually any subject. Moreover, modelling has been and continues to be a driving force for the development of mathematics itself. This book explains the process of modelling real situations to obtain mathematical problems that can be analyzed, thus solving the original problem. The presentation is in the form of case studies, which are developed much as they would be in true applications. In many cases, an initial model is created, then modified along the way. Some cases are familiar, such as the evaluation of an annuity. Others are unique, such as the fascinating situation in which an engineer, armed only with a slide rule, had 24 hours to compute whether a valve would hold when a temporary rock plug was removed from a water tunnel. Each chapter ends with a set of exercises and some suggestions for class projects.Some projects are extensive, as with the explorations of the predator-prey model; others are more modest. The text was designed to be suitable for a one-term course for advanced undergraduates. The selection of topics and the style of exposition reflect this choice. The authors have also succeeded in demonstrating just how enjoyable the subject can be. This is an ideal text for classes on modelling. It can also be used in seminars or as preparation for mathematical modelling competitions.



Mathematical Modelling

Mathematical Modelling Author J. Caldwell
ISBN-10 9781402019937
Release 2006-04-10
Pages 253
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Over the past decade there has been an increasing demand for suitable material in the area of mathematical modelling as applied to science, engineering, business and management. Recent developments in computer technology and related software have provided the necessary tools of increasing power and sophistication which have significant implications for the use and role of mathematical modelling in the above disciplines. In the past, traditional methods have relied heavily on expensive experimentation and the building of scaled models, but now a more flexible and cost effective approach is available through greater use of mathematical modelling and computer simulation. In particular, developments in computer algebra, symbolic manipulation packages and user friendly software packages for large scale problems, all have important implications in both the teaching of mathematical modelling and, more importantly, its use in the solution of real world problems. Many textbooks have been published which cover the art and techniques of modelling as well as specific mathematical modelling techniques in specialist areas within science and business. In most of these books the mathematical material tends to be rather tailor made to fit in with a one or two semester course for teaching students at the undergraduate or postgraduate level, usually the former. This textbook is quite different in that it is intended to build on and enhance students’ modelling skills using a combination of case studies and projects.



Mathematical Modelling

Mathematical Modelling Author Murray S. Klamkin
ISBN-10 9780898712049
Release 1987-01-01
Pages 338
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Mathematics of Computing -- Miscellaneous.



Mathematical Modelling

Mathematical Modelling Author Matti Heiliö
ISBN-10 9783319278360
Release 2016-04-26
Pages 242
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This book provides a thorough introduction to the challenge of applying mathematics in real-world scenarios. Modelling tasks rarely involve well-defined categories, and they often require multidisciplinary input from mathematics, physics, computer sciences, or engineering. In keeping with this spirit of modelling, the book includes a wealth of cross-references between the chapters and frequently points to the real-world context. The book combines classical approaches to modelling with novel areas such as soft computing methods, inverse problems, and model uncertainty. Attention is also paid to the interaction between models, data and the use of mathematical software. The reader will find a broad selection of theoretical tools for practicing industrial mathematics, including the analysis of continuum models, probabilistic and discrete phenomena, and asymptotic and sensitivity analysis.



Mathematical modelling of population dynamics

Mathematical modelling of population dynamics Author Ryszard Rudnicki
ISBN-10 UOM:39015060798025
Release 2004
Pages 266
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Mathematical modelling of population dynamics has been writing in one form or another for most of life. You can find so many inspiration from Mathematical modelling of population dynamics also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Mathematical modelling of population dynamics book for free.



Concepts of Mathematical Modeling

Concepts of Mathematical Modeling Author Walter J. Meyer
ISBN-10 9780486137247
Release 2012-10-23
Pages 448
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This text features examinations of classic models and a variety of applications. Each section is preceded by an abstract and statement of prerequisites. Includes exercises. 1984 edition.



Teaching and applying mathematical modelling

Teaching and applying mathematical modelling Author John Stephen Berry
ISBN-10 STANFORD:36105032060456
Release 1984
Pages 491
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Teaching and applying mathematical modelling has been writing in one form or another for most of life. You can find so many inspiration from Teaching and applying mathematical modelling also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Teaching and applying mathematical modelling book for free.



Mathematical Modelling

Mathematical Modelling Author John Berry
ISBN-10 9780080571928
Release 1995-06-17
Pages 160
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Mathematical modelling modules feature in most university undergraduate mathematics courses. As one of the fastest growing areas of the curriculum it represents the current trend in teaching the more complex areas of mathematics. This book introduces mathematical modelling to the new style of undergraduate - those with less prior knowledge, who require more emphasis on application of techniques in the following sections: What is mathematical modelling?; Seeing modelling at work through population growth; Seeing modelling at work through published papers; Modelling in mechanics. Written in the lively interactive style of the Modular Mathematics Series, this text will encourage the reader to take part in the modelling process.



Mathematical modelling

Mathematical modelling Author John Stephen Berry
ISBN-10 STANFORD:36105032354719
Release 1986
Pages 318
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Mathematical modelling has been writing in one form or another for most of life. You can find so many inspiration from Mathematical modelling also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Mathematical modelling book for free.



Methods in Approximation

Methods in Approximation Author N.D. Bellman
ISBN-10 9789400946002
Release 2012-12-06
Pages 224
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Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day, that they can't see the problem. perhaps you will find the final question. G. K. Chesterton. The Scandal of Father 'The Hermit Clad in Crane Feathers' in R. Brown 'The point of a Pin'. van Gulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.



The Nature of Mathematical Modeling

The Nature of Mathematical Modeling Author Neil A. Gershenfeld
ISBN-10 0521570956
Release 1999
Pages 344
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This book first covers exact and approximate analytical techniques (ordinary differential and difference equations, partial differential equations, variational principles, stochastic processes); numerical methods (finite differences for ODE's and PDE's, finite elements, cellular automata); model inference based on observations (function fitting, data transforms, network architectures, search techniques, density estimation); as well as the special role of time in modeling (filtering and state estimation, hidden Markov processes, linear and nonlinear time series). 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, providing an orientation to what they can (and cannot) do, enough background to use them to solve typical problems, and pointers to access the literature for particular applications.



Mathematical Modelling

Mathematical Modelling Author J. G. Andrews
ISBN-10 0408106018
Release 1976-01-01
Pages 260
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Mathematical Modelling has been writing in one form or another for most of life. You can find so many inspiration from Mathematical Modelling also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Mathematical Modelling book for free.