Elementary mathematical models [[electronic resource] ] : order aplenty and a glimpse of chaos / / Dan Kalman

• Autore: Kalman Dan
• Pubblicazione: [Washington, D.C.], : Mathematical Association of America, c1997
• Descrizione fisica: 1 online resource (362 p.)
• Disciplina: 511/.8
• Soggetto topico: Mathematical models; Mathematical analysis
• Soggetto genere / forma: Electronic books.
• Note generali: Includes index.
• Nota di contenuto: ""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 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""
• Titolo autorizzato: Elementary mathematical models
• ISBN: 1-61444-601-6
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910462350903321
• Lo trovi qui: Univ. Federico II
• Serie: Classroom resource materials (Unnumbered)