This paper provides a practical overview of meshless methods (MMs) for solid mechanics, focusing on their computer implementation through a MATLAB code. The review discusses various types of meshless methods, including intrinsic and extrinsic methods, and their applications in solving problems with discontinuities and enforcing essential boundary conditions. The paper also covers weighted residual methods such as collocation and Galerkin procedures, and presents numerical examples in elastostatics. The MATLAB code includes intrinsic and extrinsic enrichment for cracks and material interfaces, and demonstrates how to efficiently compute shape functions and handle strong and weak discontinuities. The paper highlights the advantages of MMs, such as h-adaptivity, handling of moving discontinuities, and robustness for large deformations, while also addressing their disadvantages, including higher computational costs and challenges in enforcing essential boundary conditions. The paper also discusses coupling MMs with finite element methods and hybrid methods that combine the strengths of meshfree methods and finite elements. The review concludes with a discussion of error estimation and adaptivity in MMs, and provides a detailed description of the computer implementation aspects of the element-free Galerkin (EFG) and enriched EFG methods. The paper is organized into sections covering the basics of meshless methods, their implementation, numerical examples, and conclusions.This paper provides a practical overview of meshless methods (MMs) for solid mechanics, focusing on their computer implementation through a MATLAB code. The review discusses various types of meshless methods, including intrinsic and extrinsic methods, and their applications in solving problems with discontinuities and enforcing essential boundary conditions. The paper also covers weighted residual methods such as collocation and Galerkin procedures, and presents numerical examples in elastostatics. The MATLAB code includes intrinsic and extrinsic enrichment for cracks and material interfaces, and demonstrates how to efficiently compute shape functions and handle strong and weak discontinuities. The paper highlights the advantages of MMs, such as h-adaptivity, handling of moving discontinuities, and robustness for large deformations, while also addressing their disadvantages, including higher computational costs and challenges in enforcing essential boundary conditions. The paper also discusses coupling MMs with finite element methods and hybrid methods that combine the strengths of meshfree methods and finite elements. The review concludes with a discussion of error estimation and adaptivity in MMs, and provides a detailed description of the computer implementation aspects of the element-free Galerkin (EFG) and enriched EFG methods. The paper is organized into sections covering the basics of meshless methods, their implementation, numerical examples, and conclusions.