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An Introduction to Mathematical Modeling

An Introduction to Mathematical Modeling Book
Author : Edward A. Bender
Publisher : Courier Corporation
Release : 2012-05-23
ISBN : 0486137120
Language : En, Es, Fr & De

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Book Description :

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

Mathematical Modelling Book
Author : Jagat Narain Kapur
Publisher : New Age International
Release : 1988
ISBN : 9788122400069
Language : En, Es, Fr & De

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Book Description :

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 Modeling

Mathematical Modeling Book
Author : Ludmilla A. Uvarova,Anatolii V. Latyshev
Publisher : Springer Science & Business Media
Release : 2013-03-14
ISBN : 1475733976
Language : En, Es, Fr & De

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Book Description :

This volume contains review articles and original results obtained in various fields of modern science using mathematical simulation methods. The basis of the articles are the plenary and some section reports that were made and discussed at the Fourth International Mathematical Simulation Conference, held in Moscow on June 27 through July 1, 2000. The conference was devoted to the following scientific areas: • mathematical and computer discrete systems models; • non-linear excitation in condensed media; • complex systems evolution; • mathematical models in economics; • non-equilibrium processes kinematics; • dynamics and structure of the molecular and biomolecular systems; • mathematical transfer models in non-linear systems; • numerical simulation and algorithms; • turbulence and determined chaos; • chemical physics of polymer. This conference was supported by the Russian Ministry of Education, Russian foundation for Basic Research and Federal Program "Integration". This volume contains the following sections: 1. models of non-linear phenomena in physics; 2. numerical methods and computer simulations; 3. mathematical computer models of discrete systems; 4. mathematical models in economics; 5. non-linear models in chemical physics and physical chemistry; 6. mathematical models of transport processes in complex systems. In Sections One and Five a number of fundamental and sufficiently general problems, concerning real physical and physical-chemical systems simulation, is discussed.

Mathematical Modeling with Excel

Mathematical Modeling with Excel Book
Author : Brian Albright
Publisher : Jones & Bartlett Learning
Release : 2010
ISBN : 9780763765668
Language : En, Es, Fr & De

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Book Description :

Mathematical modeling is the use of applying mathematics to real-world problems and investigating important questions about their outcomes. Mathematical Modeling with Excel presents various methods used to build and analyze mathematical models in a format that students can quickly comprehend. Excel is used as a tool to accomplish this goal of building and analyzing the models. Ideal for math and secondary math education majors, this text presents a wide variety of common types of models, as well as some new types, and presents each in a unique, easy-to-understand format. End-of-chapter exercises ask students to modify or refine the existing model, analyze it further, or adapt it to similar scenarios.

Concepts of Mathematical Modeling

Concepts of Mathematical Modeling Book
Author : Walter J. Meyer
Publisher : Courier Corporation
Release : 2012-10-23
ISBN : 0486137244
Language : En, Es, Fr & De

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Book Description :

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.

Mathematical Modeling

Mathematical Modeling Book
Author : Sandip Banerjee
Publisher : CRC Press
Release : 2014-02-07
ISBN : 1439854513
Language : En, Es, Fr & De

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Book Description :

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.

Mathematical Modeling

Mathematical Modeling Book
Author : Ellis Cumberbatch,Alistair Fitt
Publisher : Cambridge University Press
Release : 2001-10
ISBN : 9780521011730
Language : En, Es, Fr & De

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Book Description :

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

Trends in Biomathematics Mathematical Modeling for Health Harvesting and Population Dynamics

Trends in Biomathematics  Mathematical Modeling for Health  Harvesting  and Population Dynamics Book
Author : Rubem P. Mondaini
Publisher : Springer Nature
Release : 2019-10-03
ISBN : 3030234339
Language : En, Es, Fr & De

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Book Description :

This volume offers a collection of carefully selected, peer-reviewed papers presented at the BIOMAT 2018 International Symposium, which was held at the University Hassan II, Morocco, from October 29th to November 2nd, 2018. The topics covered include applications of mathematical modeling in hepatitis B, HIV and Chikungunya infections; tumor cell dynamics; inflammatory processes; chemotherapeutic drug effects; and population dynamics. Also discussing the application of techniques like the generalized stochastic Milevsky-Promislov model, numerical simulations and convergence of discrete and continuous models, it is an invaluable resource on interdisciplinary research in mathematical biology for students, researchers, and professionals. Held every year since 2001, the BIOMAT International Symposium gathers together, in a single conference, researchers from Mathematics, Physics, Biology, and affine fields to promote the interdisciplinary exchange of results, ideas and techniques, promoting truly international cooperation for problem discussion. The 2018 edition of BIOMAT International Symposium received contributions by authors from seventeen countries: Algeria, Brazil, Cameroon, Canada, Chad, Colombia, France, Germany, Hungary, Italy, Mali, Morocco, Nigeria, Poland, Portugal, Russia, and Senegal. Selected papers presented at the 2017 edition of this Symposium were also published by Springer, in the volume “Trends in Biomathematics: Modeling, Optimization and Computational Problems” (978-3-319-91091-8).

A Course in Mathematical Modeling

A Course in Mathematical Modeling Book
Author : Douglas D. Mooney,Randall J. Swift
Publisher : Cambridge University Press
Release : 1999-06-24
ISBN : 9780883857120
Language : En, Es, Fr & De

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Book Description :

This book teaches elementary mathematical modeling.

A Biologist s Guide to Mathematical Modeling in Ecology and Evolution

A Biologist s Guide to Mathematical Modeling in Ecology and Evolution Book
Author : Sarah P. Otto,Troy Day
Publisher : Princeton University Press
Release : 2011-09-19
ISBN : 1400840910
Language : En, Es, Fr & De

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Book Description :

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 level of mathematical modeling, assuming that the reader has had high school mathematics and first-year calculus. Otto and Day then gradually build in depth and complexity, from classic models in ecology and evolution to more intricate class-structured and probabilistic models. The authors provide primers with instructive exercises to introduce readers to the more advanced subjects of linear algebra and probability theory. Through examples, they describe how models have been used to understand such topics as the spread of HIV, chaos, the age structure of a country, speciation, and extinction. Ecologists and evolutionary biologists today need enough mathematical training to be able to assess the power and limits of biological models and to develop theories and models themselves. This innovative book will be an indispensable guide to the world of mathematical models for the next generation of biologists. A how-to guide for developing new mathematical models in biology Provides step-by-step recipes for constructing and analyzing models Interesting biological applications Explores classical models in ecology and evolution Questions at the end of every chapter Primers cover important mathematical topics Exercises with answers Appendixes summarize useful rules Labs and advanced material available

A First Course in Mathematical Modeling

A First Course in Mathematical Modeling Book
Author : Frank R. Giordano,William P. Fox,Steven B. Horton
Publisher : Cengage Learning
Release : 2013-03-05
ISBN : 1285531760
Language : En, Es, Fr & De

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Book Description :

Offering a solid introduction to the entire modeling process, A FIRST COURSE IN MATHEMATICAL MODELING, 5th Edition delivers an excellent balance of theory and practice, and gives you relevant, hands-on experience developing and sharpening your modeling skills. Throughout, the book emphasizes key facets of modeling, including creative and empirical model construction, model analysis, and model research, and provides myriad opportunities for practice. The authors apply a proven six-step problem-solving process to enhance your problem-solving capabilities -- whatever your level. In addition, rather than simply emphasizing the calculation step, the authors first help you learn how to identify problems, construct or select models, and figure out what data needs to be collected. By involving you in the mathematical process as early as possible -- beginning with short projects -- this text facilitates your progressive development and confidence in mathematics and modeling. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

An Introduction to Mathematical Modeling

An Introduction to Mathematical Modeling Book
Author : J. Tinsley Oden
Publisher : John Wiley & Sons
Release : 2012-02-23
ISBN : 1118105745
Language : En, Es, Fr & De

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Book Description :

A modern approach to mathematical modeling, featuring unique applications from the field of mechanics An Introduction to Mathematical Modeling: A Course in Mechanics is designed to survey the mathematical models that form the foundations of modern science and incorporates examples that illustrate how the most successful models arise from basic principles in modern and classical mathematical physics. Written by a world authority on mathematical theory and computational mechanics, the book presents an account of continuum mechanics, electromagnetic field theory, quantum mechanics, and statistical mechanics for readers with varied backgrounds in engineering, computer science, mathematics, and physics. The author streamlines a comprehensive understanding of the topic in three clearly organized sections: Nonlinear Continuum Mechanics introduces kinematics as well as force and stress in deformable bodies; mass and momentum; balance of linear and angular momentum; conservation of energy; and constitutive equations Electromagnetic Field Theory and Quantum Mechanics contains a brief account of electromagnetic wave theory and Maxwell's equations as well as an introductory account of quantum mechanics with related topics including ab initio methods and Spin and Pauli's principles Statistical Mechanics presents an introduction to statistical mechanics of systems in thermodynamic equilibrium as well as continuum mechanics, quantum mechanics, and molecular dynamics Each part of the book concludes with exercise sets that allow readers to test their understanding of the presented material. Key theorems and fundamental equations are highlighted throughout, and an extensive bibliography outlines resources for further study. Extensively class-tested to ensure an accessible presentation, An Introduction to Mathematical Modeling is an excellent book for courses on introductory mathematical modeling and statistical mechanics at the upper-undergraduate and graduate levels. The book also serves as a valuable reference for professionals working in the areas of modeling and simulation, physics, and computational engineering.

Mathematical Models in Agriculture

Mathematical Models in Agriculture Book
Author : J. H. M. Thornley,J. France
Publisher : CABI
Release : 2007
ISBN : 085199010X
Language : En, Es, Fr & De

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Book Description :

Role of mathematical models; Dynamic deterministic models; Mathematical programming; Basic biological processes; Growth functions; Simple dynamic growth models; Simple ecological models; Envinment and weather; Plant and crop processes; Crop models; Crop husbandry; Plant diseases and pests; Animal processes; Animal organs; Whole-animal models; Animal products; Animal husbandry; Animal diseases; Solutions exercises; Mathematical glossary.

Mathematical Modeling of Biological Systems Volume I

Mathematical Modeling of Biological Systems  Volume I Book
Author : Andreas Deutsch,Lutz Brusch,Helen Byrne,Gerda de Vries,Hanspeter Herzel
Publisher : Springer Science & Business Media
Release : 2007-06-15
ISBN : 0817645586
Language : En, Es, Fr & De

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Book Description :

Volume I of this two-volume, interdisciplinary work is a unified presentation of a broad range of state-of-the-art topics in the rapidly growing field of mathematical modeling in the biological sciences. The chapters are thematically organized into the following main areas: cellular biophysics, regulatory networks, developmental biology, biomedical applications, data analysis and model validation. The work will be an excellent reference text for a broad audience of researchers, practitioners, and advanced students in this rapidly growing field at the intersection of applied mathematics, experimental biology and medicine, computational biology, biochemistry, computer science, and physics.

Mathematical Modeling and Simulation

Mathematical Modeling and Simulation Book
Author : Kai Velten
Publisher : John Wiley & Sons
Release : 2009-06-01
ISBN : 3527627618
Language : En, Es, Fr & De

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Book Description :

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, medicine, agricultural, chemical, electrical, mechanical and process engineering, which are subsequently discussed in detail. Based on the author`s modeling and simulation experience in science and engineering and as a consultant, the book answers such basic questions as: What is a mathematical model? What types of models do exist? Which model is appropriate for a particular problem? What are simulation, parameter estimation, and validation? The book relies exclusively upon open-source software which is available to everybody free of charge. The entire book software - including 3D CFD and structural mechanics simulation software - can be used based on a free CAELinux-Live-DVD that is available in the Internet (works on most machines and operating systems).

Mathematical Modeling of the Blast Furnace Process

Mathematical Modeling of the Blast Furnace Process Book
Author : Andrey Dmitriev
Publisher : Cambridge Scholars Publishing
Release : 2019-10-23
ISBN : 152754205X
Language : En, Es, Fr & De

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Book Description :

This book presents the results of extensive research on the mathematical modelling of the blast furnace process. It describes the mathematical models utilised, providing insights into two-dimensional models of gas dynamics, heat transfer and reduction, the cohesion zone, and the balance equilibrium model. On the basis of these models, it details a method for the analytical study of the blast-furnace process, which essentially complements the experimental methods used in practice. Examples of the solution of practical problems of blast furnace smelting are also provided, and the mathematical models highlighted here can be used in research and design institutes, at metallurgical enterprises and for higher education institutions in the training of students in metallurgical specialties.

The Nature of Mathematical Modeling

The Nature of Mathematical Modeling Book
Author : Neil A. Gershenfeld,Neil Gershenfeld
Publisher : Cambridge University Press
Release : 1999
ISBN : 9780521570954
Language : En, Es, Fr & De

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Book Description :

Major text/reference work on computer modeling for students and researchers in any quantitative or semi-quantitative discipline, first published in 1998.

Mathematical Modeling

Mathematical Modeling Book
Author : Stefan Heinz
Publisher : Springer Science & Business Media
Release : 2011-07-03
ISBN : 9783642203114
Language : En, Es, Fr & De

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Book Description :

The whole picture of Mathematical Modeling is systematically and thoroughly explained in this text for undergraduate and graduate students of mathematics, engineering, economics, finance, biology, chemistry, and physics. This textbook gives an overview of the spectrum of modeling techniques, deterministic and stochastic methods, and first-principle and empirical solutions. Complete range: The text continuously covers the complete range of basic modeling techniques: it provides a consistent transition from simple algebraic analysis methods to simulation methods used for research. Such an overview of the spectrum of modeling techniques is very helpful for the understanding of how a research problem considered can be appropriately addressed. Complete methods: Real-world processes always involve uncertainty, and the consideration of randomness is often relevant. Many students know deterministic methods, but they do hardly have access to stochastic methods, which are described in advanced textbooks on probability theory. The book develops consistently both deterministic and stochastic methods. In particular, it shows how deterministic methods are generalized by stochastic methods. Complete solutions: A variety of empirical approximations is often available for the modeling of processes. The question of which assumption is valid under certain conditions is clearly relevant. The book provides a bridge between empirical modeling and first-principle methods: it explains how the principles of modeling can be used to explain the validity of empirical assumptions. The basic features of micro-scale and macro-scale modeling are discussed – which is an important problem of current research.

Mathematical Modeling in the Environment

Mathematical Modeling in the Environment Book
Author : Charles R. Hadlock
Publisher : American Mathematical Soc.
Release : 2020-05-05
ISBN : 088385709X
Language : En, Es, Fr & De

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Book Description :

This book has a dual objective: first to introduce the reader to some of the most important and widespread environmental issues of the day; and second to illustrate the vital role played by mathematical models in investigating these issues. The subjects covered are ground water contamination, air pollution, and hazardous materials emergencies. These issues are presented in their full real-world context and are used to develop important classical mathematical themes. The emphasis throughout is on fundamental principles and concepts, not on achieving technical mastery of state-of-the-art models.