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Record Nr. |
UNINA9910462350903321 |
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Autore |
Kalman Dan |
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Titolo |
Elementary mathematical models [[electronic resource] ] : order aplenty and a glimpse of chaos / / Dan Kalman |
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Pubbl/distr/stampa |
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[Washington, D.C.], : Mathematical Association of America, c1997 |
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ISBN |
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Descrizione fisica |
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1 online resource (362 p.) |
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Collana |
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Classroom resource materials |
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Disciplina |
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Soggetti |
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Mathematical models |
Mathematical analysis |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Nota di contenuto |
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""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"" |
""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"" |
""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 |
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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"" |
""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"" |
""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"" |
""Geometric Sums"" |
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