Nonlinear Analysis
Hello,In order to nurture you in an effective manner regarding the Newton-Raphson method I recommend you to consult the excellent treatise of I. M. Smith et al. entitled "Numerical Methods for Engineers ", ISBN-13: 9781584884019.Furthermore this method is elegantly elaborated in Finite Element Formulation in the outstanding book of I. M. Smith indicated as "Programming the Finite Element Method ", ISBN-13: 9780470849705.In addition the geometrical nonlinear formulation is transparantly and completely detailed in the famous book of W. F. Chen et al.