This book is intended as an introduction to numerical methods for scientists and engineers. Providing an excellent balance of theoretical and applied topics, it shows the numerical methods used with C, C++, and MATLAB.
Brief Table of Contents: 1: Approximations and Errors in Computation. 2: Solution of Algebraic and Transcendental Equations. 3: Solution of Simultaneous Algebraic Equations. 4: Matrix Inversion and the Eigenvalue Problem. 5: Empirical Laws and Curve-Fitting. 6: Finite Differences. 7: Interpolation. 8: Numerical Differentiation and Integration. 9: Difference Equations. 10: Numerical Solution of Ordinary Differential Equations. 11: Numerical Solution of Partial Differential Equations. 12: Linear Programming. 13: A Brief Review of Computers. 14: Numerical Methods Using C. 15: Numerical Methods Using C++. 16: Numerical Methods Using MATLAB. Appendix A: Useful Information. Appendix B: Answers to Exercises. Appendix C: Bibliography. Index.