The book "Finite Element Analysis for Composite Structures" offers a comprehensive introduction to computer-based analysis of three-dimensional composite structures using the Finite Element Method (FEM). It is aimed at universities, advanced students, graduates, researchers, and practicing engineers in the industry. The content of the book progresses gradually from the analysis of simple beams to complex anisotropic and composite plates and shells, addressing both linear and nonlinear behavior. The authors present the theory and associated computer programs clearly and systematically, making them suitable for both educational purposes and practical applications. The fundamentals of the method are explained in an accessible manner, enabling readers to extend the application and adapt the programs to specific needs. The book is based on four years of research at the University of Stuttgart and reflects the long-standing development of FEM, which was introduced by John Argyris, one of the authors, during World War II.