APPLIED NUMERICAL METHODS W/MA

3. Auflage 2011
ISBN: 978-0-07-340110-2
Verlag: MCGRAW HILL BOOK CO

Buch, Englisch, 672 Seiten, Format (B × H): 231 mm x 239 mm, Gewicht: 1141 g

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.

Autoren/Hrsg.

Chapra, Steven

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Moderne Anwendungen der Analysis
• Naturwissenschaften Biowissenschaften Angewandte Biologie Biomathematik
• Technische Wissenschaften Technik Allgemein Mathematik für Ingenieure

Inhaltsverzeichnis

Part One: Modeling, Computers, and Error Analysis Chapter 1: Mathematical Modeling, Numerical Methods and Problem Solving Chapter 2: MATLAB Fundamentals Chapter 3: Programming with MATLAB Chapter 4: Roundoff and Truncation Errors Part Two: Roots and Optimization Chapter 5: Roots: Bracketing Methods Chapter 6: Roots: Open Methods Chapter 7: Optimization Part Three: Linear Systems Chapter 8: Linear Algebraic Equations and Matrices Chapter 9: Gauss Elimination Chapter 10: LU Factorization Chapter 11: Matrix Inverse and Condition Chapter 12: Iterative Methods Chapter 13: Eigenvalues Part Four: Curve Fitting Chapter 14: Linear Regression Chapter 15: General Linear Least-Squares and Nonlinear Regression Chapter 16: Fourier Analysis Chapter 17: Polynomial Interpolation Chapter 18: Splines and Piecewise Interpolation Part Five: Integration and Differentiation Chapter 19: Numerical Integration Formulas Chapter 20: Numerical Integration of Functions Chapter 21: Numerical Differentiation Part Six: Ordinary Differential Equations Chapter 22: Initial-Value Problems Chapter 23: Adaptive Methods and Stiff Systems Chapter 24: Boundary-Value Problems Appendix A: MATLAB Built-in Functions Appendix B: MATLAB M-file Functions Bibliography Index

Über Autor(innen)

Chapra, Steven
Steven C. Chapra (Medford, MA) is Professor of Civil and Environmental Engineering, Tufts University.