Variational methods for engineers with Matlab® This book is issued from a 30 years experience on the presentation of variational methods to successive generations of students and researchers in Engineering. It gives a comprehensive pedagogical and engineer oriented presentation of the foundations of variational methods and of their use in numerical problems of Engineering. Particular applications to linear and nonlinear systems of equations differential equations optimization and control are presented. MATLAB programs illustrate the implementation and make the book suitable as a textbook and for self study. The evolution of knowledge of the engineering studies and of the society in general has led to a change of focus from students and researchers. New generations of students and researchers do not have the same relations to mathematics as the previous ones. In the particular case of variational methods the presentations used in the past are not adapted to the previous knowledge the language and the centers of interest of the new generations. Since these methods remain a core knowledge thus essential in many fields (Physics Engineering Applied Mathematics Economics Image analysis.) a new presentation is necessary in order to address variational methods to the actual context.