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[null,"1.","Record Nr.",null,"UNINA9910462350903321"]
[null,null,"Autore",null,"Kalman Dan"]
[null,null,"Titolo",null,"Elementary mathematical models [[electronic resource] ] : order aplenty and a glimpse of chaos / / Dan Kalman"]
[null,null,"Pubbl/distr/stampa",null,"[Washington, D.C.], : Mathematical Association of America, c1997"]
[null,null,"ISBN",null,"1-61444-601-6"]
[null,null,"Descrizione fisica",null,"1 online resource (362 p.)"]
[null,null,"Collana",null,"Classroom resource materials"]
[null,null,"Disciplina",null,"511/.8"]
[null,null,"Soggetti",null,"Mathematical models"]
[{"$nulls":4},"Mathematical analysis"]
[{"$nulls":4},"Electronic books."]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Includes index."]
[null,null,"Nota di contenuto",null,"\"\"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\"\""]
[{"$nulls":4},"\"\"Solutions to Selected Exercises\"\"\"\"3  Arithmetic Growth\"\"; \"\"The Arithmetic Growth Difference Equation\"\"; \"\"Examples\"\"; \"\"Numerical, Graphical, and Theoretical Properties\"\"; \"\"Proportional Reasoning and Continuous Models\"\"; \"\"Beyond Arithmetic Growth: Oil Reserves\"\"; \"\"Summary\"\"; \"\"Exercises\"\"; \"\"Solutions to Selected Exercises\"\"; \"\"4  Linear Graphs, Functions, and Equations\"\"; \"\"Linear Functions and Equations\"\"; \"\"Continuous Models\"\"; \"\"Algebra and Solving Linear Equations\"\"; \"\"Graphs of Linear Equations\"\"; \"\"Fitting a Line to Data\"\"; \"\"Formulating Linear Models\"\"; \"\"Summary\"\""]
[{"$nulls":4},"\"\"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 "]
[{"$nulls":4},"Considerations\"\"; \"\"Graphs\"\"; \"\"Solving Equations\"\"; \"\"An Example\"\"; \"\"Summary\"\"; \"\"Exercises\"\""]
[{"$nulls":4},"\"\"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\"\""]
[{"$nulls":4},"\"\"The Geometric Growth Difference Equation\"\"\"\"Functional Equation\"\"; \"\"Exponential Functions\"\"; \"\"Additional Applications\"\"; \"\"Summary\"\"; \"\"Exercises\"\"; \"\"Solutions to Selected Exercises\"\"; \"\"10  Exponential Functions\"\"; \"\"Graphs\"\"; \"\"Algebraic Properties\"\"; \"\"Solving Equations\"\"; \"\"The number e\"\"; \"\"Summary\"\"; \"\"Exercises\"\"; \"\"Solutions to Selected Exercises\"\"; \"\"11  More On Logarithms\"\"; \"\"Rules for Logarithms\"\"; \"\"Logarithmic Scales\"\"; \"\"The pH Scale\"\"; \"\"Transforming Data\"\"; \"\"Summary\"\"; \"\"Exercises\"\"; \"\"Solutions to Selected Exercises\"\"; \"\"12  Geometric Sums and Mixed Models\"\""]
[{"$nulls":4},"\"\"Geometric Sums\"\""]