Solve ODEs and Perform Nonlinear Regression with MATLAB

Cleve Moler’s book Numerical Computing with MATLAB is a good begining, which has an online version.

C. T. Kelley’s group specially focuses on nonlinear regression. His book Iterative Methods for Linear and Nonlinear Equations and Iterative Methods for Optimization are good ones. Besides, they have MATLAB version of Implicit Filtering package on their website.