An Introduction to Mathematical Modeling

• Author : Edward A. Bender
• Publisher : Courier Corporation
• Release Date : 2012-05-23
• ISBN : 9780486137124

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.

• Author : Alfio Quarteroni,Paola Gervasio
• Publisher : Springer Nature
• Release Date : 2020-10-09
• ISBN : 9783030445416

In this book we describe the magic world of mathematical models: starting from real-life problems, we formulate them in terms of equations, transform equations into algorithms and algorithms into programs to be executed on computers. A broad variety of examples and exercises illustrate that properly designed models can, e.g.: predict the way the number of dolphins in the Aeolian Sea will change as food availability and fishing activity vary; describe the blood flow in a capillary network; calculate the

• Author : Seyed M. Moghadas,Majid Jaberi-Douraki
• Publisher : John Wiley & Sons
• Release Date : 2018-07-24
• ISBN : 9781119484028

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

• Author : Christof Eck,Harald Garcke,Peter Knabner
• Publisher : Springer
• Release Date : 2017-04-11
• ISBN : 9783319551616

Mathematical models are the decisive tool to explain and predict phenomena in the natural and engineering sciences. With this book readers will learn to derive mathematical models which help to understand real world phenomena. At the same time a wealth of important examples for the abstract concepts treated in the curriculum of mathematics degrees are given. An essential feature of this book is that mathematical structures are used as an ordering principle and not the fields of application. Methods from

• Author : Douglas D. Mooney,Randall J. Swift
• Publisher : American Mathematical Society
• Release Date : 2021-11-15
• ISBN : 9781470466169

The emphasis of this book lies in the teaching of mathematical modeling rather than simply presenting models. To this end the book starts with the simple discrete exponential growth model as a building block, and successively refines it. This involves adding variable growth rates, multiple variables, fitting growth rates to data, including random elements, testing exactness of fit, using computer simulations and moving to a continuous setting. No advanced knowledge is assumed of the reader, making this book suitable for

• Author : Mark M. Meerschaert
• Publisher : Elsevier
• Release Date : 2007-06-18
• ISBN : 0123708575

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

• Author : Elizabeth G. Arnold
• Publisher : National Council of Teachers of English
• Release Date : 2021
• ISBN : 1680540467

This book explores what it means to teach modeling. In part I, the authors discuss mathematical modeling broadly and allow you to explore the student practices and perspectives involved, how modeling can empower students, and classroom communities that support modeling. In part II, the authors launch you on your journey of becoming a teacher of modeling by illustrating features of modeling that are evident in the classrooms of teacher who engage their students in modeling and by sharing specific strategies

• Author : Walter J. Meyer
• Publisher : Courier Corporation
• Release Date : 2012-10-23
• ISBN : 9780486137247

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.

• Author : Clive Dym
• Publisher : Elsevier
• Release Date : 2004-08-10
• ISBN : 9780080470283

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

• Author : Kai Velten
• Publisher : John Wiley & Sons
• Release Date : 2009-06-01
• ISBN : 9783527627615

This concise and clear introduction to the topic requires only basic knowledge of calculus and linear algebra - all other concepts and ideas are developed in the course of the book. Lucidly written so as to appeal to undergraduates and practitioners alike, it enables readers to set up simple mathematical models on their own and to interpret their results and those of others critically. To achieve this, many examples have been chosen from various fields, such as biology, ecology, economics,

• Author : Sandip Banerjee
• Publisher : CRC Press
• Release Date : 2021-11-11
• ISBN : 9781351022934

Mathematical Modeling: Models, Analysis and Applications, Second Edition introduces models of both discrete and continuous systems. This book is aimed at newcomers who desires to learn mathematical modeling, especially students taking a first course in the subject. Beginning with the step-by-step guidance of model formulation, this book equips the reader about modeling with difference equations (discrete models), ODE’s, PDE’s, delay and stochastic differential equations (continuous models). This book provides interdisciplinary and integrative overview of mathematical modeling, making it

• Author : Sarah P. Otto,Troy Day
• Publisher : Princeton University Press
• Release Date : 2011-09-19
• ISBN : 9781400840915

Thirty years ago, biologists could get by with a rudimentary grasp of mathematics and modeling. Not so today. In seeking to answer fundamental questions about how biological systems function and change over time, the modern biologist is as likely to rely on sophisticated mathematical and computer-based models as traditional fieldwork. In this book, Sarah Otto and Troy Day provide biology students with the tools necessary to both interpret models and to build their own. The book starts at an elementary

• Author : Vladimir Mityushev,Wojciech Nawalaniec,Natalia Rylko
• Publisher : CRC Press
• Release Date : 2018-02-19
• ISBN : 9781351998758

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

• Author : Reinhard Illner,REINHARD AUTOR ILLNER,C. Sean Bohun,Samantha McCollum,Thea van Roode
• Publisher : American Mathematical Soc.
• Release Date : 2005
• ISBN : 9780821836507

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

• Author : Avner Friedman,Chiu-Yen Kao
• Publisher : Springer
• Release Date : 2014-09-19
• ISBN : 9783319083148

This book on mathematical modeling of biological processes includes a wide selection of biological topics that demonstrate the power of mathematics and computational codes in setting up biological processes with a rigorous and predictive framework. Topics include: enzyme dynamics, spread of disease, harvesting bacteria, competition among live species, neuronal oscillations, transport of neurofilaments in axon, cancer and cancer therapy, and granulomas. Complete with a description of the biological background and biological question that requires the use of mathematics, this book