A First Course In Mathematical Modeling

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A First Course in Mathematical Modeling

Author : Frank R. Giordano
Publisher : Cengage Learning
ISBN 13 : 9780495011590
Total Pages : 640 pages
Book Rating : 4.0/5 (115 download)

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Book Synopsis A First Course in Mathematical Modeling by : Frank R. Giordano

Download or read book A First Course in Mathematical Modeling written by Frank R. Giordano and published by Cengage Learning. This book was released on 2008-07-03 with total page 640 pages. Available in PDF, EPUB and Kindle. Book excerpt: Offering a solid introduction to the entire modeling process, A FIRST COURSE IN MATHEMATICAL MODELING, 4th Edition delivers an excellent balance of theory and practice, giving students hands-on experience developing and sharpening their skills in the modeling process. Throughout the book, students practice key facets of modeling, including creative and empirical model construction, model analysis, and model research. The authors apply a proven six-step problem-solving process to enhance students' problem-solving capabilities -- whatever their level. Rather than simply emphasizing the calculation step, the authors first ensure that students learn how to identify problems, construct or select models, and figure out what data needs to be collected. By involving students in the mathematical process as early as possible -- beginning with short projects -- the book facilitates their 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.

A First Course in Mathematical Modeling

Author : Frank R. Giordano
Publisher : Thomson Brooks/Cole
ISBN 13 : 9780495558774
Total Pages : 600 pages
Book Rating : 4.5/5 (587 download)

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Book Synopsis A First Course in Mathematical Modeling by : Frank R. Giordano

Download or read book A First Course in Mathematical Modeling written by Frank R. Giordano and published by Thomson Brooks/Cole. This book was released on 2008-07 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about UMAP Modules, past modeling contest problems, interdisciplinary lively applications projects, technology and software, technology labs, the modeling process, proportionality and geometric similarty.

Mathematical Modeling

Author : Sandip Banerjee
Publisher : CRC Press
ISBN 13 : 1351022938
Total Pages : 419 pages
Book Rating : 4.3/5 (51 download)

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Book Synopsis Mathematical Modeling by : Sandip Banerjee

Download or read book Mathematical Modeling written by Sandip Banerjee and published by CRC Press. This book was released on 2021-11-11 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 a complete textbook for a wide audience. A unique feature of the book is the breadth of coverage of different examples on mathematical modelling, which include population models, economic models, arms race models, combat models, learning model, alcohol dynamics model, carbon dating, drug distribution models, mechanical oscillation models, epidemic models, tumor models, traffic flow models, crime flow models, spatial models, football team performance model, breathing model, two neuron system model, zombie model and model on love affairs. Common themes such as equilibrium points, stability, phase plane analysis, bifurcations, limit cycles, period doubling and chaos run through several chapters and their interpretations in the context of the model have been highlighted. In chapter 3, a section on estimation of system parameters with real life data for model validation has also been discussed. Features Covers discrete, continuous, spatial, delayed and stochastic models. Over 250 illustrations, 300 examples and exercises with complete solutions. Incorporates MATHEMATICA® and MATLAB®, each chapter contains Mathematica and Matlab codes used to display numerical results (available at CRC website). Separate sections for Projects. Several exercise problems can also be used for projects. Presents real life examples of discrete and continuous scenarios. The book is ideal for an introductory course for undergraduate and graduate students, engineers, applied mathematicians and researchers working in various areas of natural and applied sciences.

A First Course in Mathematical Modeling

Author : Frank R. Giordano
Publisher : Thomson Brooks/Cole
ISBN 13 : 9781285077499
Total Pages : 676 pages
Book Rating : 4.0/5 (774 download)

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Book Synopsis A First Course in Mathematical Modeling by : Frank R. Giordano

Download or read book A First Course in Mathematical Modeling written by Frank R. Giordano and published by Thomson Brooks/Cole. This book was released on 2014 with total page 676 pages. Available in PDF, EPUB and Kindle. Book excerpt: Offering a solid introduction to the entire modeling process, A FIRST COURSE IN MATHEMATICAL MODELING, 5E, International Edition delivers an excellent balance of theory and practice, giving students hands-on experience developing and sharpening their skills in the modeling process. Throughout the book, students practice key facets of modeling, including creative and empirical model construction, model analysis, and model research. The authors apply a proven six-step problem-solving process to enhance students’ problem-solving capabilities — whatever their level. Rather than simply emphasizing the calculation step, the authors first ensure that students learn how to identify problems, construct or select models, and figure out what data needs to be collected. By involving students in the mathematical process as early as possible — beginning with short projects — the book facilitates their progressive development and confidence in mathematics and modeling.

Introduction to Mathematical Modeling

Author : Mayer Humi
Publisher : CRC Press
ISBN 13 : 1498728022
Total Pages : 484 pages
Book Rating : 4.4/5 (987 download)

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Book Synopsis Introduction to Mathematical Modeling by : Mayer Humi

Download or read book Introduction to Mathematical Modeling written by Mayer Humi and published by CRC Press. This book was released on 2017-09-19 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to Mathematical Modeling helps students master the processes used by scientists and engineers to model real-world problems, including the challenges posed by space exploration, climate change, energy sustainability, chaotic dynamical systems and random processes. Primarily intended for students with a working knowledge of calculus but minimal training in computer programming in a first course on modeling, the more advanced topics in the book are also useful for advanced undergraduate and graduate students seeking to get to grips with the analytical, numerical, and visual aspects of mathematical modeling, as well as the approximations and abstractions needed for the creation of a viable model.

An Introduction to Mathematical Modeling

Author : Edward A. Bender
Publisher : Courier Corporation
ISBN 13 : 0486137120
Total Pages : 273 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis An Introduction to Mathematical Modeling by : Edward A. Bender

Download or read book An Introduction to Mathematical Modeling written by Edward A. Bender and published by Courier Corporation. This book was released on 2012-05-23 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: Employing a practical, "learn by doing" approach, this first-rate text fosters the development of the skills beyond the pure mathematics needed to set up and manipulate mathematical models. The author draws on a diversity of fields — including science, engineering, and operations research — to provide over 100 reality-based examples. Students learn from the examples by applying mathematical methods to formulate, analyze, and criticize models. Extensive documentation, consisting of over 150 references, supplements the models, encouraging further research on models of particular interest. The lively and accessible text requires only minimal scientific background. Designed for senior college or beginning graduate-level students, it assumes only elementary calculus and basic probability theory for the first part, and ordinary differential equations and continuous probability for the second section. All problems require students to study and create models, encouraging their active participation rather than a mechanical approach. Beyond the classroom, this volume will prove interesting and rewarding to anyone concerned with the development of mathematical models or the application of modeling to problem solving in a wide array of applications.

A Course in Mathematical Modeling

Author : Douglas D. Mooney
Publisher : American Mathematical Soc.
ISBN 13 : 088385712X
Total Pages : 453 pages
Book Rating : 4.8/5 (838 download)

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Book Synopsis A Course in Mathematical Modeling by : Douglas D. Mooney

Download or read book A Course in Mathematical Modeling written by Douglas D. Mooney and published by American Mathematical Soc.. This book was released on 1999-12-31 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 elementary modeling courses. The book can also be used to supplement courses in linear algebra, differential equations, probability theory and statistics.

The Nature of Mathematical Modeling

Author : Neil A. Gershenfeld
Publisher : Cambridge University Press
ISBN 13 : 9780521570954
Total Pages : 268 pages
Book Rating : 4.5/5 (79 download)

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Book Synopsis The Nature of Mathematical Modeling by : Neil A. Gershenfeld

Download or read book The Nature of Mathematical Modeling written by Neil A. Gershenfeld and published by Cambridge University Press. This book was released on 1999 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a book about the nature of mathematical modeling, and about the kinds of techniques that are useful for modeling. The text is in four sections. The first covers exact and approximate analytical techniques; the second, numerical methods; the third, model inference based on observations; and the last, the special role of time in modeling. 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. The text is complemented by extensive worked problems.

A Biologist's Guide to Mathematical Modeling in Ecology and Evolution

Author : Sarah P. Otto
Publisher : Princeton University Press
ISBN 13 : 1400840910
Total Pages : 745 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis A Biologist's Guide to Mathematical Modeling in Ecology and Evolution by : Sarah P. Otto

Download or read book A Biologist's Guide to Mathematical Modeling in Ecology and Evolution written by Sarah P. Otto and published by Princeton University Press. This book was released on 2011-09-19 with total page 745 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Mathematical Modeling for the Life Sciences

Author : Jacques Istas
Publisher : Springer Science & Business Media
ISBN 13 : 354027877X
Total Pages : 168 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Mathematical Modeling for the Life Sciences by : Jacques Istas

Download or read book Mathematical Modeling for the Life Sciences written by Jacques Istas and published by Springer Science & Business Media. This book was released on 2006-03-30 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides a wide range of mathematical models currently used in the life sciences Each model is thoroughly explained and illustrated by example Includes three appendices to allow for independent reading

Mathematical Modeling and Simulation

Author : Kai Velten
Publisher : John Wiley & Sons
ISBN 13 : 3527627618
Total Pages : 362 pages
Book Rating : 4.5/5 (276 download)

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Book Synopsis Mathematical Modeling and Simulation by : Kai Velten

Download or read book Mathematical Modeling and Simulation written by Kai Velten and published by John Wiley & Sons. This book was released on 2009-06-01 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Mark M. Meerschaert
Publisher : Elsevier
ISBN 13 : 9780123708571
Total Pages : 360 pages
Book Rating : 4.7/5 (85 download)

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Book Synopsis Mathematical Modeling by : Mark M. Meerschaert

Download or read book Mathematical Modeling written by Mark M. Meerschaert and published by Elsevier. This book was released on 2007-06-18 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

A Course in Mathematical Biology

Author : Gerda de Vries
Publisher : SIAM
ISBN 13 : 0898718252
Total Pages : 307 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis A Course in Mathematical Biology by : Gerda de Vries

Download or read book A Course in Mathematical Biology written by Gerda de Vries and published by SIAM. This book was released on 2006-07-01 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the only book that teaches all aspects of modern mathematical modeling and that is specifically designed to introduce undergraduate students to problem solving in the context of biology. Included is an integrated package of theoretical modeling and analysis tools, computational modeling techniques, and parameter estimation and model validation methods, with a focus on integrating analytical and computational tools in the modeling of biological processes. Divided into three parts, it covers basic analytical modeling techniques; introduces computational tools used in the modeling of biological problems; and includes various problems from epidemiology, ecology, and physiology. All chapters include realistic biological examples, including many exercises related to biological questions. In addition, 25 open-ended research projects are provided, suitable for students. An accompanying Web site contains solutions and a tutorial for the implementation of the computational modeling techniques. Calculations can be done in modern computing languages such as Maple, Mathematica, and MATLAB?.

Advanced Problem Solving with Maple

Author : William P. Fox
Publisher : CRC Press
ISBN 13 : 0429891342
Total Pages : 253 pages
Book Rating : 4.4/5 (298 download)

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Book Synopsis Advanced Problem Solving with Maple by : William P. Fox

Download or read book Advanced Problem Solving with Maple written by William P. Fox and published by CRC Press. This book was released on 2019-05-29 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: Problem Solving is essential to solve real-world problems. Advanced Problem Solving with Maple: A First Course applies the mathematical modeling process by formulating, building, solving, analyzing, and criticizing mathematical models. It is intended for a course introducing students to mathematical topics they will revisit within their further studies. The authors present mathematical modeling and problem-solving topics using Maple as the computer algebra system for mathematical explorations, as well as obtaining plots that help readers perform analyses. The book presents cogent applications that demonstrate an effective use of Maple, provide discussions of the results obtained using Maple, and stimulate thought and analysis of additional applications. Highlights: The book’s real-world case studies prepare the student for modeling applications Bridges the study of topics and applications to various fields of mathematics, science, and engineering Features a flexible format and tiered approach offers courses for students at various levels The book can be used for students with only algebra or calculus behind them About the authors: Dr. William P. Fox is an emeritus professor in the Department of Defense Analysis at the Naval Postgraduate School. Currently, he is an adjunct professor, Department of Mathematics, the College of William and Mary. He received his Ph.D. at Clemson University and has many publications and scholarly activities including twenty books and over one hundred and fifty journal articles. William C. Bauldry, Prof. Emeritus and Adjunct Research Prof. of Mathematics at Appalachian State University, received his PhD in Approximation Theory from Ohio State. He has published many papers on pedagogy and technology, often using Maple, and has been the PI of several NSF-funded projects incorporating technology and modeling into math courses. He currently serves as Associate Director of COMAP’s Math Contest in Modeling (MCM).

Mathematical Modeling

Author : Christof Eck
Publisher : Springer
ISBN 13 : 3319551612
Total Pages : 509 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Mathematical Modeling by : Christof Eck

Download or read book Mathematical Modeling written by Christof Eck and published by Springer. This book was released on 2017-04-11 with total page 509 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 linear algebra, analysis and the theory of ordinary and partial differential equations are thoroughly introduced and applied in the modeling process. Examples of applications in the fields electrical networks, chemical reaction dynamics, population dynamics, fluid dynamics, elasticity theory and crystal growth are treated comprehensively.

Introduction to Mathematical Modeling and Computer Simulations

Author : Vladimir Mityushev
Publisher : CRC Press
ISBN 13 : 1351998757
Total Pages : 211 pages
Book Rating : 4.3/5 (519 download)

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Book Synopsis Introduction to Mathematical Modeling and Computer Simulations by : Vladimir Mityushev

Download or read book Introduction to Mathematical Modeling and Computer Simulations written by Vladimir Mityushev and published by CRC Press. This book was released on 2018-02-19 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematical Modelling Techniques

Author : Rutherford Aris
Publisher : Courier Corporation
ISBN 13 : 0486138895
Total Pages : 290 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Mathematical Modelling Techniques by : Rutherford Aris

Download or read book Mathematical Modelling Techniques written by Rutherford Aris and published by Courier Corporation. This book was released on 2012-06-29 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Engaging, elegantly written." — Applied Mathematical Modelling Mathematical modelling is a highly useful methodology designed to enable mathematicians, physicists and other scientists to formulate equations from a given nonmathematical situation. In this elegantly written volume, a distinguished theoretical chemist and engineer sets down helpful rules not only for setting up models but also for solving the mathematical problems they pose and for evaluating models. The author begins with a discussion of the term "model," followed by clearly presented examples of the different types of models (finite, statistical, stochastic, etc.). He then goes on to discuss the formulation of a model and how to manipulate it into its most responsive form. Along the way Dr. Aris develops a delightful list of useful maxims for would-be modellers. In the final chapter he deals not only with the empirical validation of models but also with the comparison of models among themselves, as well as with the extension of a model beyond its original "domain of validity." Filled with numerous examples, this book includes three appendices offering further examples treated in more detail. These concern longitudinal diffusion in a packed bed, the coated tube chromatograph with Taylor diffusion and the stirred tank reactor. Six journal articles, a useful list of references and subject and name indexes complete this indispensable, well-written guide. "A most useful, readable-and stimulating-book, to be read both for pleasure and for enlightenment." — Bulletin of the Institute of Mathematics and Its Applications