LEADER 02594oam 2200685I 450 001 9910783450203321 005 20230617004708.0 010 $a1-134-28066-1 010 $a1-134-28067-X 010 $a1-280-11412-6 010 $a0-203-32407-2 024 7 $a10.4324/9780203324073 035 $a(CKB)1000000000239243 035 $a(EBL)199512 035 $a(OCoLC)58392967 035 $a(SSID)ssj0000173462 035 $a(PQKBManifestationID)11169882 035 $a(PQKBTitleCode)TC0000173462 035 $a(PQKBWorkID)10164603 035 $a(PQKB)11386688 035 $a(MiAaPQ)EBC199512 035 $a(Au-PeEL)EBL199512 035 $a(CaPaEBR)ebr10094686 035 $a(CaONFJC)MIL11412 035 $a(EXLCZ)991000000000239243 100 $a20180331d2005 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aHow economists model the world into numbers /$fMarcel Boumans 210 1$aLondon ;$aNew York :$cRoutledge,$d2005. 215 $a1 online resource (221 p.) 225 1 $aRoutledge INEM advances in economic methodology 300 $aDescription based upon print version of record. 311 $a0-415-45930-3 311 $a0-415-34621-5 320 $aIncludes bibliographical references and index. 327 $aBook Cover; Title; Copyright; Contents; 1 Introduction; 2 A new practice; 3 Autonomy; 4 Design of experiments; 5 Measurement; 6 Rigour; 7 Conclusions; Notes; Bibliography; Index 330 $aEconomics is dominated by model building, therefore a comprehension of how such models work is vital to understanding the discipline. This book provides a critical analysis of the economist's favourite tool, and as such will be an enlightening read for some, and an intriguing one for others. 410 0$aRoutledge INEM advances in economic methodology. 606 $aEconomics, Mathematical 606 $aEconomics$xMathematical models 606 $aEconometrics 606 $aEconomics$xMethodology$xHistory$y20th century 606 $aEconomics, Mathematical$xHistory$y20th century 615 0$aEconomics, Mathematical. 615 0$aEconomics$xMathematical models. 615 0$aEconometrics. 615 0$aEconomics$xMethodology$xHistory 615 0$aEconomics, Mathematical$xHistory 676 $a330.015118 700 $aBoumans$b Marcel.$01483018 801 0$bFlBoTFG 801 1$bFlBoTFG 906 $aBOOK 912 $a9910783450203321 996 $aHow economists model the world into numbers$93700998 997 $aUNINA LEADER 05841oam 2200493K 450 001 9910958592103321 005 20251117113648.0 010 $a0-429-89134-2 010 $a0-429-89135-0 010 $a0-429-46963-2 035 $a(CKB)4100000008339009 035 $a(MiAaPQ)EBC5780629 035 $a(OCoLC)1103320709 035 $a(OCoLC-P)1103320709 035 $a(FlBoTFG)9780429469633 035 $a(EXLCZ)994100000008339009 100 $a20190603d2020 uy 0 101 0 $aeng 135 $aurcnu---unuuu 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aAdvanced problem solving with Maple $ea first course /$fWilliam P. Fox and William C. Bauldry 205 $a1st ed. 210 1$aBoca Raton :$cTaylor & Francis, CRC Press,$d2020. 215 $a1 online resource (347 pages) 300 $aIncludes index. 311 08$a1-138-60185-3 327 $aCover -- Half Title -- Title Page -- Copyright Page -- Table of Contents -- Preface -- 1: Introduction to Problem Solving and Maple -- 1.1 Problem Solving -- 1.2 Introduction to Maple -- 1.3 The Structure of Maple -- 1.4 General Introduction to Maple -- 1.5 Maple Training -- 1.6 Maple Applications Center -- 2: Introduction, Basic Concepts, and Techniques in Problem Solving with First-Order, Ordinary Differential Equations -- 2.1 Introduction -- 2.2 Applied First-Order Differential Equations and Solution Methods -- 2.3 Slope Fields and Qualitative Assessments -- 2.4 Analytical Solution of First-Order Ordinary Differential Equations -- 2.5 First-Order Ordinary Differential Equations and Maple -- 2.6 Numerical Methods for First-Order Ordinary Differential Equations -- 3: Introduction, Basic Concepts, and Techniques in Problem Solving with Systems of Ordinary Differential Equations -- 3.1 Systems of Differential Equations -- 3.2 Applied Systems of Differential Equations -- 3.3 Phase Portraits and Qualitative Assessment -- 3.4 Solving Homogeneous and Nonhomogeneous Systems of ODEs -- 3.5 Numerical Solutions to Systems of Ordinary Differential Equations -- 4: Problem Solving with Linear, Integer, and Mixed Integer Programming -- 4.1 Formulating Linear Programming Problems -- 4.2 Understanding Two-Variable Linear Programming: A Graphical Simplex -- 4.3 Solving the Linear Program: The Simplex Method and Maple -- 4.4 Linear Programming with Maple's Commands -- 4.5 Sensitivity Analysis with Maple -- 4.6 Integer and Mixed Integer Problems with Maple -- 5: Model Fitting and Linear Regression -- 5.1 Introduction -- 5.2 The Different Curve Fitting Criterion -- 5.3 Plotting the Residuals for a Least-Squares Fit -- 5.4 Case Studies -- 6: Statistical and Probabilistic Problem Solving with Maple -- 6.1 Introduction -- 6.2 Basic Statistics: Univariate Data. 327 $a6.3 Introduction to Classical Probability -- 6.4 Reliability in Engineering and Business -- 6.5 Case Study: Airlines Overbooking Model -- 6.6 Continuous Probability Models -- 6.7 The Normal Distribution -- 6.8 Confidence Intervals and Hypothesis Testing -- 7: Problem Solving with Simulation -- 7.1 Introduction -- 7.2 Monte Carlo Simulation -- 7.3 Probability and Monte Carlo Simulation Using Deterministic Behavior -- 7.4 Probability and Monte Carlo Simulation Using Probabilistic Behavior -- 7.5 Case Studies: Applied Simulation Models -- Index. 330 $aProblem 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). 606 $aProblem solving$xData processing 606 $aQuantitative research$xData processing 615 0$aProblem solving$xData processing. 615 0$aQuantitative research$xData processing. 676 $a519.0285/53 700 $aFox$b William P.$f1949-$01876702 702 $aBauldry$b William C. 801 0$bOCoLC-P 801 1$bOCoLC-P 906 $aBOOK 912 $a9910958592103321 996 $aAdvanced problem solving with Maple$94488487 997 $aUNINA