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    1. Data och IT
    2. Systemvetenskap och AI

    Advanced Problem Solving with Maple

    A First Course

    AvWilliam P. Fox,William C. Bauldry

    Häftad, Engelska, 2023

    Del i serien Textbooks in Mathematics

    737 kr

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    1 467 kr

    Beskrivning

    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).*Please note that the Maple package, "PSM", is now on the public area of the Maple Cloud. To access it:• From the web:1. Go to the website https://maple.cloud2. Click on "packages" in the left navigation pane3. Click on "PSM" in the list of packages.4. Click the "Download" button to capture the package.• From Maple:1. Click on the Maple Cloud icon (far right in the Maple window toolbar). Or click on the Maple Cloud button on Maple's Start page to go to the website.2. Click on the "packages" in the navigation pane3. Click on "PSM" in the list of packages.The package then downloads into Maple directly.

    Produktinformation

    • Utgivningsdatum:2023-01-21
    • Mått:156 x 234 x 21 mm
    • Vikt:536 g
    • Format:Häftad
    • Språk:Engelska
    • Serie:Textbooks in Mathematics
    • Antal sidor:346
    • Förlag:Taylor & Francis Ltd
    • ISBN:9781032475547

    Utforska kategorier

    • Systemvetenskap och AI inom Data och IT
    • Tillämpad matematik inom Naturvetenskap och teknik
    • Beräkning och matematisk analys inom Naturvetenskap och teknik

    Mer om författaren

    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. 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).

    Innehållsförteckning

    • Introduction to Problem Solving and MapleProblem SolvingIntroduction to MapleThe Structure of MapleGeneral Introduction to MapleMaple TrainingMaple Applications CenterIntroduction, Basic Concepts, and Techniques in Problem Solving with First Order, Ordinary Differential EquationsIntroduction Applied First Order Differential Equations and Solution MethodsSlope Fields and Qualitative AssessmentsAnalytical Solution of 1st Order ODEsFirst Order ODEs and MapleNumerical Methods for 1st Order ODEsIntroduction, Basic Concepts, and Techniques in Problem Solving with Systems of Ordinary Differential EquationsSystems of Differential EquationsApplied Systems of Differential EquationsPhase Portraits and Qualitative AssessmentSolving Homogeneous and Non-Homogeneous Systems of ODEsNumerical Solutions to Systems of Ordinary Differential EquationsProblem Solving with Linear, Integer, and Mixed Integer ProgrammingFormulating Linear Programming ProblemsUnderstanding Two-Variable Linear Programming: A Graphical SimplexSolving the Linear Program: The Simplex Method and MapleLinear Programming with Internal Maple CommandsSensitivity Analysis with MapleInteger and Mixed Integer Problems with MapleModel Fitting and Linear RegressionIntroductionThe Different Curve Fitting CriterionPlotting the Residuals for a Least-Squares FitCase StudiesStatistical and Probabilistic Problem Solving with MapleIntroductionBasic Statistics: Univariate DataIntroduction to Classical ProbabilityReliability in Engineering and BusinessCase Study: Airlines Overbooking ModelThe Normal DistributionConfidence Intervals and Hypothesis TestingProblem Solving with SimulationIntroductionMonte Carlo SimulationProbability and Monte Carlo Simulation Using Deterministic BehaviorProbability and Monte Carlo Simulation: Using Probabilistic BehaviorCase Studies: Applied Simulation ModelsIndex