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100   $a19971203d1997      uy             0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aElementary mathematical models$b[electronic resource] $eorder aplenty and a glimpse of chaos /$fDan Kalman
210   $a[Washington, D.C.] $cMathematical Association of America$dc1997
215   $a1 online resource (362 p.)
225 1 $aClassroom resource materials
300   $aIncludes index.
311   $a0-88385-707-3 
327   $a""cover ""; ""copyright page""; ""title page""; ""Preface""; ""Teaching EMM""; ""Classroom Experience""; ""Acknowledgments""; ""Contents""; ""1  Overview""; ""An Example""; ""Three Methods: Numerical, Graphical, Theoretical""; ""Mathematical Models""; ""Chaos""; ""Summary""; ""Exercises""; ""Solutions to Selected Exercises""; ""2  Sequences and Difference Equations""; ""Sequences""; ""Difference Equations""; ""The Numerical Approach""; ""The Graphical Approach""; ""The Theoretical Approach""; ""Back to Reality""; ""Sample Difference Equations""; ""Summary""; ""Exercises""
327   $a""Solutions to Selected Exercises""""3  Arithmetic Growth""; ""The Arithmetic Growth Difference Equation""; ""Examples""; ""Numerical, Graphical, and Theoretical Properties""; ""Proportional Reasoning and Continuous Models""; ""Beyond Arithmetic Growth: Oil Reserves""; ""Summary""; ""Exercises""; ""Solutions to Selected Exercises""; ""4  Linear Graphs, Functions, and Equations""; ""Linear Functions and Equations""; ""Continuous Models""; ""Algebra and Solving Linear Equations""; ""Graphs of Linear Equations""; ""Fitting a Line to Data""; ""Formulating Linear Models""; ""Summary""
327   $a""Exercises""""Solutions to Selected Exercises""; ""5  Quadratic Growth Models""; ""A New School Population Example""; ""Quadratic Growth Models""; ""Quadratic Growth Difference Equations""; ""Applications of Quadratic Growth""; ""Properties of Quadratic Growth Models""; ""Whole Number Sums and sum Notation""; ""Summary""; ""Exercises""; ""Solutions to Selected Exercises""; ""6  Quadratic Graphs, Functions, andEquations""; ""Quadratic Functions and Equations""; ""Algebraic Considerations""; ""Graphs""; ""Solving Equations""; ""An Example""; ""Summary""; ""Exercises""
327   $a""Solutions to Selected Exercises""""7  Polynomial and Rational Functions""; ""Algebraic Aspects of Polynomials""; ""Graphing Polynomials""; ""Solving Polynomial Equations""; ""Applications of Polynomials""; ""Graphs of Rational Functions""; ""Summary""; ""Exercises""; ""Solutions to Selected Exercises""; ""8  Fitting a Line to Data""; ""Defining ``Best""""; ""An Error Function""; ""Finding the Best Slope""; ""Three-Dimensional Parabolas""; ""Summary""; ""Exercises""; ""Solutions to Selected Exercises""; ""9  Geometric Growth""; ""The Geometric Growth Assumption""
327   $a""The Geometric Growth Difference Equation""""Functional Equation""; ""Exponential Functions""; ""Additional Applications""; ""Summary""; ""Exercises""; ""Solutions to Selected Exercises""; ""10  Exponential Functions""; ""Graphs""; ""Algebraic Properties""; ""Solving Equations""; ""The number e""; ""Summary""; ""Exercises""; ""Solutions to Selected Exercises""; ""11  More On Logarithms""; ""Rules for Logarithms""; ""Logarithmic Scales""; ""The pH Scale""; ""Transforming Data""; ""Summary""; ""Exercises""; ""Solutions to Selected Exercises""; ""12  Geometric Sums and Mixed Models""
327   $a""Geometric Sums""
410  0$aClassroom resource materials (Unnumbered)
606   $aMathematical models
606   $aMathematical analysis
608   $aElectronic books.
615  0$aMathematical models.
615  0$aMathematical analysis.
676   $a511/.8
700   $aKalman$b Dan$0632551
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910462350903321
996   $aElementary mathematical models$933409
997   $aUNINA