Applied Numerical Methods with MATLAB for Engineers and Scientists Paperback - 2012

Steven Chapra’s Applied Numerical Methods with MATLAB, third edition, is written for engineering and science students who need to learn numerical problem solving. Theory is introduced to inform key concepts which are framed in applications and demonstrated using MATLAB. The book is designed for a one-semester or one-quarter course in numerical methods typically taken by undergraduates.The third edition features new chapters on Eigenvalues and Fourier Analysis and is accompanied by an extensive set of m-files and instructor materials.

Part One: Modeling, Computers, and Error AnalysisChapter 1: Mathematical Modeling, Numerical Methods and Problem SolvingChapter 2: MATLAB FundamentalsChapter 3: Programming with MATLABChapter 4: Roundoff and Truncation ErrorsPart Two: Roots and OptimizationChapter 5: Roots: Bracketing MethodsChapter 6: Roots: Open MethodsChapter 7: OptimizationPart Three: Linear SystemsChapter 8: Linear Algebraic Equations and MatricesChapter 9: Gauss EliminationChapter 10: LU FactorizationChapter 11: Matrix Inverse and ConditionChapter 12: Iterative MethodsChapter 13: EigenvaluesPart Four: Curve FittingChapter 14: Linear RegressionChapter 15: General Linear Least-Squares and Nonlinear RegressionChapter 16: Fourier AnalysisChapter 17: Polynomial InterpolationChapter 18: Splines and Piecewise InterpolationPart Five: Integration and DifferentiationChapter 19: Numerical Integration FormulasChapter 20: Numerical Integration of FunctionsChapter 21: Numerical DifferentiationPart Six: Ordinary Differential EquationsChapter 22: Initial-Value ProblemsChapter 23: Adaptive Methods and Stiff SystemsChapter 24: Boundary-Value ProblemsAppendix A: MATLAB Built-in FunctionsAppendix B: MATLAB M-file FunctionsBibliographyIndex