Search Results: mathematical-modelling

Mathematical Modelling

Author: Jagat Narain Kapur

Publisher: New Age International

ISBN: 9788122400069

Category: Mathematical models

Page: 259

View: 2428

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 & Computing in Biology and Medicine

5th ESMTB Conference 2002

Author: V. Capasso (Ed)

Publisher: Società Editrice Esculapio

ISBN: 8874880553

Category: Mathematics

Page: 653

View: 4086

Mathematical Modelling Techniques

Author: Rutherford Aris

Publisher: Courier Corporation

ISBN: 0486138895

Category: Technology & Engineering

Page: 288

View: 2054

Highly useful volume discusses the types of models, how to formulate and manipulate them for best results. Numerous examples.

An Introduction to Mathematical Modeling

Author: Edward A. Bender

Publisher: Courier Corporation

ISBN: 9780486411804

Category: Mathematics

Page: 256

View: 7941

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 Modeling

Author: Mark M. Meerschaert

Publisher: Elsevier

ISBN: 9780123708571

Category: Mathematics

Page: 335

View: 7637

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

Principles of Mathematical Modelling

Ideas, Methods, Examples

Author: Alexander A. Samarskii,Alexander P. Mikhailov

Publisher: CRC Press

ISBN: 9780415272803

Category: Mathematics

Page: 360

View: 1014

Mathematical modeling is becoming increasingly versatile and multi-disciplinary. This text demonstrates the broadness of this field as the authors consider the principles of model construction and use common approaches to build models from a range of subject areas. The book reflects the interests and experiences of the authors, but it explores mathematical modeling across a wide range of applications, from mechanics to social science. A general approach is adopted, where ideas and examples are favored over rigorous mathematical procedures. This insightful book will be of interest to specialists, teachers, and students across a wide range of disciplines..

Mathematical Modelling

A Way of Life - ICTMA 11

Author: S J Lamon,W A Parker,S K Houston

Publisher: Elsevier

ISBN: 085709954X

Category: Mathematics

Page: 288

View: 775

Mathematical modelling is often spoken of as a way of life, referring to habits of mind and to dependence on the power of mathematics to describe, explain, predict and control real phenomena. This book aims to encourage teachers to provide opportunities for students to model a variety of real phenomena appropriately matched to students’ mathematical backgrounds and interests from early stages of mathematical education. Habits, misconceptions, and mindsets about mathematics can present obstacles to university students’ acceptance of a ‘‘models-and-modelling perspective’’ at this stage of mathematics education. Without prior experience in building, interpreting and applying mathematical models, many students may never come to view and regard modelling as a way of life. The book records presentations at the ICTMA 11 conference held in Milwaukee, Wisconsin in 2003. Examines mathematical modelling as a way of life, referring to habits of mind and dependence on the power of mathematics to describe, explain, predict and control real phenomena Encourages teachers to provide students with opportunities to model a variety of real phenomena appropriately matched to students’ mathematical backgrounds and interests from early stages of mathematical education Records presentations at the ICTMA 11 conference held in Milwaukee, Wisconsin in 2003

Mathematical Modelling

Classroom Notes in Applied Mathematics

Author: Murray S. Klamkin

Publisher: SIAM

ISBN: 9781611971767

Category: Mathematical models

Page: 338

View: 1973

Designed for classroom use, this book contains short, self-contained mathematical models of problems in the physical, mathematical, and biological sciences first published in the Classroom Notes section of the SIAM Review from 1975-1985. The problems provide an ideal way to make complex subject matter more accessible to the student through the use of concrete applications. Each section has extensive supplementary references provided by the editor from his years of experience with mathematical modelling.

Mathematical Modelling

Author: Matti Heiliö,Timo Lähivaara,Erkki Laitinen,Timo Mantere,Jorma Merikoski,Kimmo Raivio,Risto Silvennoinen,Antti Suutala,Tanja Tarvainen,Timo Tiihonen,Jukka Tuomela,Esko Turunen,Marko Vauhkonen

Publisher: Springer

ISBN: 3319278363

Category: Mathematics

Page: 242

View: 7494

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

Teaching and Assessment in a Technology-rich World

Author: Peter Galbraith,W. Blum,G. Booker

Publisher: ISBS

ISBN: 9781898563426

Category: Mathematics

Page: 344

View: 3451

This book contributes to the teaching, learning and assessing of mathematical modelling in an era of rapidly expanding technology. It addresses all levels of education from universities, colleges of technology, state and national departments, research groups, teacher training colleges and secondary schools. The broad and versatile range of topics are classified in themes of application. There is discussion of issues and alternatives which improve the quality of education and which continue to attract attention, including examples of modelling in action. They encompass medical, engineering, social or sporting applications. The theme of technology dominates throughout. Applications feature the use of graphics calculators, spreadsheets, symbolic manipulator software, with special purpose programs as aids to mathematical processing, and to teaching. Examples of the use of mathematical models are given, and the role and purpose of modelling is examined from multinational usage.

Mathematical Modeling

Case Studies from Industry

Author: Ellis Cumberbatch,Alistair Fitt

Publisher: Cambridge University Press

ISBN: 9780521011730

Category: Mathematics

Page: 299

View: 1239

This volume presents thirteen different case studies, ranging from cooking of cereal to the analysis of epidemic waves in animal populations.

Mathematical Modelling and Simulation in Chemical Engineering

Author: M. Chidambaram

Publisher: Cambridge University Press

ISBN: 1108470408

Category: Computers

Page: N.A

View: 7078

An easy to understand guide covering key principles of mathematical modelling and simulation in chemical engineering.

Concepts of Mathematical Modeling

Author: Walter J. Meyer

Publisher: Courier Corporation

ISBN: 0486137244

Category: Mathematics

Page: 448

View: 6628

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.

Leading-edge Applied Mathematical Modeling Research

Author: Matías P. Álvarez

Publisher: Nova Publishers

ISBN: 9781600219771

Category: Mathematics

Page: 384

View: 2398

Covers the research related to the mathematical modelling of engineering and environmental processes, manufacturing, and industrial systems. This work includes heat transfer, fluid mechanics, CFD, and transport phenomena; solid mechanics and mechanics of metals; electromagnets and MHD; and reliability modelling and system optimisation.

Guide to Mathematical Modelling

Author: Dilwyn Edwards,Mike Hamson

Publisher: Macmillan International Higher Education

ISBN: 1349100420

Category: Applied mathematics

Page: 277

View: 1829

The authors' enthusiasm for their subject is eloquently conveyed in this book, and draws the reader very quickly into active investigation of the problems posed. By providing plenty of modelling examples from a wide variety of fields - most of which are familiar from everyday life - the book shows how to apply mathematical ideas to situations which would not previously have been considered to be 'mathematical' in character.

Mathematical Modelling of Forest Ecosystems

Proceedings of a Workshop Organized by Forstliche Versuchsanstalt Rheinland-Pfalz and Zentrum Für Praktische Mathematik, Lambrecht/Pfalz, May 27-31, 1991

Author: Jürgen Franke,Axel Roeder

Publisher: N.A

ISBN: N.A

Category: Forest ecology

Page: 174

View: 7967

Mathematical Modelling

A Case Studies Approach

Author: Reinhard Illner

Publisher: American Mathematical Soc.

ISBN: 0821836501

Category: Mathematics

Page: 196

View: 8467

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

Education, Engineering and Economics - ICTMA 12

Author: C Haines,P Galbraith,W Blum,S Khan

Publisher: Elsevier

ISBN: 0857099418

Category: Mathematics

Page: 510

View: 3252

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 and Simulation of Electrical Circuits and Semiconductor Devices

Proceedings of a Conference held at the Mathematisches Forschungsinstitut, Oberwolfach, July 5–11, 1992

Author: Randolph Bank,R. Bulirsch,H. Gajewski,K. Merten

Publisher: Birkhäuser

ISBN: 3034885288

Category: Mathematics

Page: 316

View: 4072

Progress in today's high-technology industries is strongly associated with the development of new mathematical tools. A typical illustration of this partnership is the mathematical modelling and numerical simulation of electric circuits and semiconductor devices. At the second Oberwolfach conference devoted to this important and timely field, scientists from around the world, mainly applied mathematicians and electrical engineers from industry and universities, presented their new results. Their contributions, forming the body of this work, cover electric circuit simulation, device simulation and process simulation. Discussions on experiences with standard software packages and improvements of such packages are included. In the semiconductor area special lectures were given on new modelling approaches, numerical techniques and existence and uniqueness results. In this connection, mention is made, for example, of mixed finite element methods, an extension of the Baliga-Patankar technique for a three dimensional simulation, and the connection between semiconductor equations and the Boltzmann equations.

Mathematische Modellierung

Author: Christof Eck,Harald Garcke,Peter Knabner

Publisher: Springer-Verlag

ISBN: 3662543354

Category: Mathematics

Page: 515

View: 7931

Das Lehrbuch bietet eine lebendige und anschauliche Einführung in die mathematische Modellierung von Phänomenen aus den Natur- und Ingenieurwissenschaften. Leser lernen, mathematische Modelle zu verstehen und selbst herzuleiten und finden eine Fülle von Beispielen, u. a. aus den Bereichen chemische Reaktionskinetik, Populationsdynamik, Strömungsdynamik, Elastizitätstheorie und Kristallwachstum. Die Methoden der Linearen Algebra, der Analysis und der Theorie der gewöhnlichen und partiellen Differentialgleichungen werden sorgfältig eingeführt.

Find eBook