Mathematical Modelling

Mathematical Modelling
Author: Seyed M. Moghadas,Majid Jaberi-Douraki
Publsiher: John Wiley & Sons
Total Pages: 192
Release: 2018-07-24
ISBN 10: 1119483999
ISBN 13: 9781119483991
Language: EN, FR, DE, ES & NL

Mathematical Modelling Book Review:

An important resource that provides an overview of mathematical modelling Mathematical Modelling offers a comprehensive guide to both analytical and computational aspects of mathematical modelling that encompasses a wide range of subjects. The authors provide an overview of the basic concepts of mathematical modelling and review the relevant topics from differential equations and linear algebra. The text explores the various types of mathematical models, and includes a range of examples that help to describe a variety of techniques from dynamical systems theory. The book’s analytical techniques examine compartmental modelling, stability, bifurcation, discretization, and fixed-point analysis. The theoretical analyses involve systems of ordinary differential equations for deterministic models. The text also contains information on concepts of probability and random variables as the requirements of stochastic processes. In addition, the authors describe algorithms for computer simulation of both deterministic and stochastic models, and review a number of well-known models that illustrate their application in different fields of study. This important resource: Includes a broad spectrum of models that fall under deterministic and stochastic classes and discusses them in both continuous and discrete forms Demonstrates the wide spectrum of problems that can be addressed through mathematical modelling based on fundamental tools and techniques in applied mathematics and statistics Contains an appendix that reveals the overall approach that can be taken to solve exercises in different chapters Offers many exercises to help better understand the modelling process Written for graduate students in applied mathematics, instructors, and professionals using mathematical modelling for research and training purposes, Mathematical Modelling: A Graduate Textbook covers a broad range of analytical and computational aspects of mathematical modelling.

Mathematical Modelling Techniques

Mathematical Modelling Techniques
Author: Rutherford Aris
Publsiher: Courier Corporation
Total Pages: 288
Release: 2012-06-29
ISBN 10: 0486138895
ISBN 13: 9780486138893
Language: EN, FR, DE, ES & NL

Mathematical Modelling Techniques Book Review:

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

An Introduction to Mathematical Modeling

An Introduction to Mathematical Modeling
Author: Edward A. Bender
Publsiher: Courier Corporation
Total Pages: 272
Release: 2012-05-23
ISBN 10: 0486137120
ISBN 13: 9780486137124
Language: EN, FR, DE, ES & NL

An Introduction to Mathematical Modeling Book Review:

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.

Methods of Mathematical Modelling

Methods of Mathematical Modelling
Author: Thomas Witelski,Mark Bowen
Publsiher: Springer
Total Pages: 305
Release: 2015-09-18
ISBN 10: 3319230425
ISBN 13: 9783319230429
Language: EN, FR, DE, ES & NL

Methods of Mathematical Modelling Book Review:

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.

Mathematical Modeling

Mathematical Modeling
Author: Mark M. Meerschaert
Publsiher: Elsevier
Total Pages: 335
Release: 2007-07-02
ISBN 10: 9780123708571
ISBN 13: 0123708575
Language: EN, FR, DE, ES & NL

Mathematical Modeling Book Review:

Mathematical Modeling, Third Edition 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. Increased support for instructors, including MATLAB material New sections on time series analysis and diffusion models Additional problems with international focus such as whale and dolphin populations, plus updated optimization problems

Mathematical Modeling

Mathematical Modeling
Author: Sandip Banerjee
Publsiher: CRC Press
Total Pages: 276
Release: 2014-02-07
ISBN 10: 1439854513
ISBN 13: 9781439854518
Language: EN, FR, DE, ES & NL

Mathematical Modeling Book Review:

Almost every year, a new book on mathematical modeling is published, so, why another? The answer springs directly from the fact that it is very rare to find a book that covers modeling with all types of differential equations in one volume. Until now. Mathematical Modeling: Models, Analysis and Applications covers modeling with all kinds of differential equations, namely ordinary, partial, delay, and stochastic. The book also contains a chapter on discrete modeling, consisting of differential equations, making it a complete textbook on this important skill needed for the study of science, engineering, and social sciences. More than just a textbook, this how-to guide presents tools for mathematical modeling and analysis. It offers a wide-ranging overview of mathematical ideas and techniques that provide a number of effective approaches to problem solving. Topics covered include spatial, delayed, and stochastic modeling. The text provides real-life examples of discrete and continuous mathematical modeling scenarios. MATLAB® and Mathematica® are incorporated throughout the text. The examples and exercises in each chapter can be used as problems in a project. Since mathematical modeling involves a diverse range of skills and tools, the author focuses on techniques that will be of particular interest to engineers, scientists, and others who use models of discrete and continuous systems. He gives students a foundation for understanding and using the mathematics that is the basis of computers, and therefore a foundation for success in engineering and science streams.

Teaching and Learning Mathematical Modelling

Teaching and Learning Mathematical Modelling
Author: Gilbert Greefrath,Katrin Vorhölter
Publsiher: Springer
Total Pages: 42
Release: 2016-09-21
ISBN 10: 9783319450032
ISBN 13: 3319450034
Language: EN, FR, DE, ES & NL

Teaching and Learning Mathematical Modelling Book Review:

This survey provides an overview of the German discussion on modelling and applications in schools. It considers the development from the beginning of the 20th century to the present, and discusses the term “mathematical model” as well as different representations of the modelling process as modelling cycles. Different trends in the historical and current debate on applications and modelling can be differentiated as perspectives of modelling. Modelling is now one of the six general mathematical competencies defined in the educational standards for mathematics introduced in Germany in 2003, and there have been several initiatives to implement modelling in schools, as well as a whole range of empirical research projects focusing on teachers or students in modelling processes. As a special kind for implementing modelling into school, modelling weeks and days carried out by various German universities have been established.

Mathematical Modelling

Mathematical Modelling
Author: John Stephen Berry,Ken Houston
Publsiher: Gulf Professional Publishing
Total Pages: 142
Release: 1995
ISBN 10: 0340614048
ISBN 13: 9780340614044
Language: EN, FR, DE, ES & NL

Mathematical Modelling Book Review:

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.

Mathematical Modelling for Teachers

Mathematical Modelling for Teachers
Author: Keng Cheng Ang
Publsiher: Routledge
Total Pages: 172
Release: 2018-09-03
ISBN 10: 1351247964
ISBN 13: 9781351247962
Language: EN, FR, DE, ES & NL

Mathematical Modelling for Teachers Book Review:

Mathematical Modelling for Teachers: Resources, Pedagogy and Practice provides everything that teachers and mathematics educators need to design and implement mathematical modelling activities in their classroom. Authored by an expert in Singapore, the global leader in mathematics education, it is written with an international readership in mind. This book focuses on practical classroom ideas in mathematical modelling suitable to be used by mathematics teachers at the secondary level. As they are interacting with students all the time, teachers generally have good ideas for possible mathematical modelling tasks. However, many have difficulty translating those ideas into concrete modelling activities suitable for a mathematics classroom. In this book, a framework is introduced to assist teachers in designing, planning and implementing mathematical modelling activities, and its use is illustrated through the many examples included. Readers will have access to modelling activities suitable for students from lower secondary levels (Years 7 and 8) onwards, along with the underlying framework, guiding notes for teachers and suggested approaches to solve the problems. The activities are grouped according to the types of models constructed: empirical, deterministic and simulation models. Finally, the book gives the reader suggestions of different ways to assess mathematical modelling competencies in students.

Aspects of Mathematical Modelling

Aspects of Mathematical Modelling
Author: Roger J. Hosking,Ezio Venturino
Publsiher: Birkhäuser
Total Pages: 375
Release: 2007-12-17
ISBN 10: 9783764385903
ISBN 13: 3764385901
Language: EN, FR, DE, ES & NL

Aspects of Mathematical Modelling Book Review:

The construction of mathematical models is an essential scientific activity. Mathematics is associated with developments in science and engineering, but more recently mathematical modelling has been used to investigate complex systems that arise in other fields. This book demonstrates the application of mathematics to research topics in ecology and environmental science, health and medicine, phylogenetics and neural networks, theoretical chemistry, economics and management.

Mathematical Modeling

Mathematical Modeling
Author: Mark M. Meerschaert
Publsiher: Academic Press
Total Pages: 365
Release: 2013-02-11
ISBN 10:
ISBN 13: UCSD:31822038704250
Language: EN, FR, DE, ES & NL

Mathematical Modeling Book Review:

Meerschaert's new edition strengthens his position as the survey text of choice for mathematical modeling courses, adding ample instructor support and leveraging on-line delivery for solutions manuals and software ancillaries. From genetic engineering to hurricane prediction, mathematical models guide much of the decision-making in our society, and if the assumptions and methods underlying the modeling are flawed, the outcome can be disastrously poor, as recent events have proved. Since mathematical modeling is a rapidly growing specialty with applications in so many scientific and technical disciplines, there is a need for mathematically rigorous treatments of the subject, and particularly for texts that expose students to a range of possible approaches. Offers increased support for instructors, including MATLAB material as well as other on-line resourcesFeatures new sections on time series analysis and diffusion modelsProvides additional problems with international focus such as whale and dolphin populations, plus updated optimization problems.

Mathematical Modelling

Mathematical Modelling
Author: Jagat Narain Kapur
Publsiher: New Age International
Total Pages: 259
Release: 1988
ISBN 10: 9788122400069
ISBN 13: 812240006X
Language: EN, FR, DE, ES & NL

Mathematical Modelling Book Review:

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 of Zombies

Mathematical Modelling of Zombies
Author: Robert Smith?
Publsiher: University of Ottawa Press
Total Pages: 468
Release: 2014-10-14
ISBN 10: 0776621688
ISBN 13: 9780776621685
Language: EN, FR, DE, ES & NL

Mathematical Modelling of Zombies Book Review:

You’re outnumbered, in fear for your life, surrounded by flesheating zombies. What can save you now? Mathematics, of course. Mathematical Modelling of Zombies engages the imagination to illustrate the power of mathematical modelling. Using zombies as a “hook,” you’ll learn how mathematics can predict the unpredictable. In order to be prepared for the apocalypse, you’ll need mathematical models, differential equations, statistical estimations, discretetime models, and adaptive strategies for zombie attacks—as well as baseball bats and Dire Straits records (latter two items not included). In Mathematical Modelling of Zombies, Robert Smith? brings together a highly skilled team of contributors to fend off a zombie uprising. You’ll also learn how modelling can advise government policy, how theoretical results can be communicated to a nonmathematical audience and how models can be formulated with only limited information. A forward by Andrew Cartmel—former script editor of Doctor Who, author, zombie fan and all-round famous person in science-fiction circles—even provides a genealogy of the undead. By understanding how to combat zombies, readers will be introduced to a wide variety of modelling techniques that are applicable to other real-world issues (biology, epidemiology, medicine, public health, etc.). So if the zombies turn up, reach for this book. The future of the human race may depend on it.

Introduction to Mathematical Modeling and Computer Simulations

Introduction to Mathematical Modeling and Computer Simulations
Author: Vladimir Mityushev,Wojciech Nawalaniec,Natalia Rylko
Publsiher: CRC Press
Total Pages: 222
Release: 2018-02-19
ISBN 10: 1351998757
ISBN 13: 9781351998758
Language: EN, FR, DE, ES & NL

Introduction to Mathematical Modeling and Computer Simulations Book Review:

Introduction to Mathematical Modeling and Computer Simulations is written as a textbook for readers who want to understand the main principles of Modeling and Simulations in settings that are important for the applications, without using the profound mathematical tools required by most advanced texts. It can be particularly useful for applied mathematicians and engineers who are just beginning their careers. The goal of this book is to outline Mathematical Modeling using simple mathematical descriptions, making it accessible for first- and second-year students.

Principles of Mathematical Modeling

Principles of Mathematical Modeling
Author: Clive Dym
Publsiher: Elsevier
Total Pages: 303
Release: 2004-08-10
ISBN 10: 0080470289
ISBN 13: 9780080470283
Language: EN, FR, DE, ES & NL

Principles of Mathematical Modeling Book Review:

Science and engineering students depend heavily on concepts of mathematical modeling. In an age where almost everything is done on a computer, author Clive Dym believes that students need to understand and "own" the underlying mathematics that computers are doing on their behalf. His goal for Principles of Mathematical Modeling, Second Edition, is to engage the student reader in developing a foundational understanding of the subject that will serve them well into their careers. The first half of the book begins with a clearly defined set of modeling principles, and then introduces a set of foundational tools including dimensional analysis, scaling techniques, and approximation and validation techniques. The second half demonstrates the latest applications for these tools to a broad variety of subjects, including exponential growth and decay in fields ranging from biology to economics, traffic flow, free and forced vibration of mechanical and other systems, and optimization problems in biology, structures, and social decision making. Prospective students should have already completed courses in elementary algebra, trigonometry, and first-year calculus and have some familiarity with differential equations and basic physics. Serves as an introductory text on the development and application of mathematical models Focuses on techniques of particular interest to engineers, scientists, and others who model continuous systems Offers more than 360 problems, providing ample opportunities for practice Covers a wide range of interdisciplinary topics--from engineering to economics to the sciences Uses straightforward language and explanations that make modeling easy to understand and apply New to this Edition: A more systematic approach to mathematical modeling, outlining ten specific principles Expanded and reorganized chapters that flow in an increasing level of complexity Several new problems and updated applications Expanded figure captions that provide more information Improved accessibility and flexibility for teaching

Applied Mathematical Modeling

Applied Mathematical Modeling
Author: Douglas R. Shier,K.T. Wallenius
Publsiher: CRC Press
Total Pages: 472
Release: 1999-11-11
ISBN 10: 9781420050042
ISBN 13: 1420050044
Language: EN, FR, DE, ES & NL

Applied Mathematical Modeling Book Review:

The practice of modeling is best learned by those armed with fundamental methodologies and exposed to a wide variety of modeling experience. Ideally, this experience could be obtained by working on actual modeling problems. But time constraints often make this difficult. Applied Mathematical Modeling provides a collection of models illustrating the power and richness of the mathematical sciences in supplying insight into the operation of important real-world systems. It fills a gap within modeling texts, focusing on applications across a broad range of disciplines. The first part of the book discusses the general components of the modeling process and highlights the potential of modeling in practice. These chapters discuss the general components of the modeling process, and the evolutionary nature of successful model building. The second part provides a rich compendium of case studies, each one complete with examples, exercises, and projects. In keeping with the multidimensional nature of the models presented, the chapters in the second part are listed in alphabetical order by the contributor's last name. Unlike most mathematical books, in which you must master the concepts of early chapters to prepare for subsequent material, you may start with any chapter. Begin with cryptology, if that catches your fancy, or go directly to bursty traffic if that is your cup of tea. Applied Mathematical Modeling serves as a handbook of in-depth case studies that span the mathematical sciences, building upon a modest mathematical background. Readers in other applied disciplines will benefit from seeing how selected mathematical modeling philosophies and techniques can be brought to bear on problems in their disciplines. The models address actual situations studied in chemistry, physics, demography, economics, civil engineering, environmental engineering, industrial engineering, telecommunications, and other areas.

Mathematical Modelling with Case Studies

Mathematical Modelling with Case Studies
Author: B. Barnes,G..R. Fulford
Publsiher: CRC Press
Total Pages: 368
Release: 2011-03-23
ISBN 10: 9781420083507
ISBN 13: 1420083503
Language: EN, FR, DE, ES & NL

Mathematical Modelling with Case Studies Book Review:

Focusing on growth and decay processes, interacting populations, and heating/cooling problems, Mathematical Modelling with Case Studies: A Differential Equations Approach using MapleTM and MATLAB®, Second Edition presents mathematical techniques applicable to models involving differential equations that describe rates of change. Although the authors concentrate on models involving differential equations, the ideas used can be applied to many other areas. The book carefully details the process of constructing a model, including the conversion of a seemingly complex problem into a much simpler one. It uses flow diagrams and word equations to aid in the model building process and to develop the mathematical equations. Employing theoretical, graphical, and computational tools, the authors analyze the behavior of the models under changing conditions. They discuss the validation of the models and suggest extensions to the models with an emphasis on recognizing the strengths and limitations of each model. Through applications and the tools of MapleTM and MATLAB®, this textbook provides hands-on model building skills. It develops, extends, and improves simple models as well as interprets the results.

Mathematical Modelling for Teachers

Mathematical Modelling for Teachers
Author: Jürgen Maaß,Niamh O’Meara,Patrick Johnson,John O’Donoghue
Publsiher: Springer
Total Pages: 159
Release: 2018-10-01
ISBN 10: 3030004317
ISBN 13: 9783030004316
Language: EN, FR, DE, ES & NL

Mathematical Modelling for Teachers Book Review:

While there are many areas of focus in mathematics education, there are many good reasons for offering applicable mathematics education in schools. Let us just mention two of the most important reasons. On the one hand, a focus on the practical side of mathematics presents a convincing and motivating answer to the typical student question: ‘Why study mathematics?’ On the other hand, education policy seems inclined to move in this direction by implementing international testing, curricula and catalogues of skills. The most important feature of this book is that the authors speak directly to you, the mathematics teachers. The authors attempt to draw you into a continuous dialogue about activities you are asked to engage in as learners. You are asked to do something, and through doing and reflecting you will gain first-hand experience of new approaches and materials. In this way, you can learn to teach applicable mathematics to your students using your own experience as learners of applicable mathematics, motivated and supported by the book. Here applicable mathematics education is the phrase we use to describe reality-based mathematics education. Reality-based mathematics relies heavily on problem solving and a positive disposition to engage with mathematics. Modelling reality and simulating selected aspects of reality are other pillars of reality-based mathematics education.

Mathematical Modelling in Science and Technology

Mathematical Modelling in Science and Technology
Author: Xavier J.R. Avula,Rudolf E. Kalman,Anthanasios I. Liapis
Publsiher: Elsevier
Total Pages: 1022
Release: 2014-05-09
ISBN 10: 1483190595
ISBN 13: 9781483190594
Language: EN, FR, DE, ES & NL

Mathematical Modelling in Science and Technology Book Review:

Mathematical Modelling in Science and Technology: The Fourth International Conference covers the proceedings of the Fourth International Conference by the same title, held at the Swiss Federal Institute of Technology, Zurich, Switzerland on August 15-17, 1983. Mathematical modeling is a powerful tool to solve many complex problems presented by scientific and technological developments. This book is organized into 20 parts encompassing 180 chapters. The first parts present the basic principles, methodology, systems theory, parameter estimation, system identification, and optimization of mathematical modeling. The succeeding parts discuss the features of stochastic and numerical modeling and simulation languages. Considerable parts deal with the application areas of mathematical modeling, such as in chemical engineering, solid and fluid mechanics, water resources, medicine, economics, transportation, and industry. The last parts tackle the application of mathematical modeling in student management and other academic cases. This book will prove useful to researchers in various science and technology fields.

Mathematical Modelling

Mathematical Modelling
Author: Reinhard Illner,REINHARD AUTOR ILLNER,C. Sean Bohun,Samantha McCollum,Thea van Roode
Publsiher: American Mathematical Soc.
Total Pages: 196
Release: 2005
ISBN 10: 0821836501
ISBN 13: 9780821836507
Language: EN, FR, DE, ES & NL

Mathematical Modelling Book Review:

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. In this book the authors have succeeded in demonstrating just how enjoyable this subject can be. Each chapter ends with a set of exercises and some suggestions for class projects. Some projects are extensive; others are more modest. The text was designed to be suitable for a one-term course for advanced undergraduates on modelling. It can also be used in seminars or as preparation for mathematical modelling competitions.