Still brief, but with the chapters that you wanted! Steven Chapras new second edition, Applied Numerical Methods with MATLAB for Engineers and Scientists, is written for engineers and scientists who want to learn numerical problem solving. This text focuses on problem-solving (applications) rather than theory, using MATLAB, and is intended for Numerical Methods users; hence theory is included only to inform key concepts. The new second edition feature new material such as Numerical Differentiation and ODE's: Boundary-Value Problems. New to this edition 4 New Chapters have been added to the second edition to provide a more accessible presentation, while maintaining its student-friendly flavor. o Optimization o Numerical Differentiation o ODES: Boundary-Value Problems o Fast Fourier Transform. This appendix chapter is presented in an introductory fashion to illustrate the power of MATLAB and to let students go away recognizing that although they have just scratched the surface, they might want to pursue the topic in greater depth in future courses. 50% new or revised chapter and homework problems.

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Part One Modeling, Computers, and Error Analysis 1. Mathematical Modeling Numerical Methods and Problem Solving 2. MATLAB Fundamentals 3. Programming with MATLAB 4. Roundoff and Trunication Errors

Part Two Roots and Optimization 5. Roots: Bracketing Methods 6. Roots: Open Methods 7. Optimization

Part Three Linear Systems 8. Linear Algebraic Equations and Matrices 9. Gauss Elimination 10. LU Factorization 11. Matrix Inverse and Condition 12. Iterative Methods

Part Four Curve Fitting 13. Linear Regression 14. General Linear Least-Squares and Non-Linear Regression 15. Polynomial Interpolation 16. Splines and Piecewise Interpolation

Part Five Integration and Differentiation 17. Numerical Integration Formulas 18. Numerical Integration of Functions 19. Numerical Differentiation

Part Six Ordinary Differential Equations 20. Initial-Value Problems 21. Adaptive Methods and Stiff Systems 22. Boundary-Value Problems Appendix A: Eigenvalues Appendix B: MATLAB Built-in Functions Appendix C: MATLAB M-File Functions Bibliography Index