Professor J. N. Reddy is a Distinguished Professor, Regents Professor, and holder of the O'Donnell Foundation Chair IV in the Department of Mechanical Engineering at Texas A & M University. As the author of twenty-four textbooks and several hundred journal papers, and a highly-cited researcher, Professor Reddy is internationally-recognized for his research and education in applied and computational mechanics. The finite element formulations and models he developed have been implemented into commercial software like ABAQUS, NISA, and HyperXtrude (Altair). He has won many major awards from professional societies (e.g., The S.P. Timoshenko Medal from ASME, the von Karman Medal from ASCE, the von Neumann Medal from USACM, and the Gauss-Newton Medal from IACM), and he is a fellow of AAM, AIAA, ASC, ASCE, ASI, ASME, IACM, and USACM. He is a member of the US National Academy of Engineering and Foreign Fellow of the Brazilian National Academy of Engineering, the Canadian Academy of Engineering, the Chinese Academy of Engineering, the Indian National Academy of Engineering, the Royal Academy of Engineering of Spain, the European Academy of Sciences, and the European Academy of Sciences and Arts.

Part I. Preliminaries: 1. Mathematical Preliminaries; 2. Equations of Heat Transfer and Fluid Mechanics; 3. Solution Methods for Algebraic Equations; Part II. The Finite Element Method: 4. The Finite Element Method: Steady-State Heat Transfer; 5. The Finite Element Method: Unsteady Heat Transfer; 6. Finite Element Analysis of Viscous Incompressible Flows; Part III. The Finite Volume Method: 7. The Finite Volume Method: Diffusion Problems; 8. The Finite Volume Method: Advection-Diffusion Problems; 9. Finite Volume Methods for Viscous Incompressible Flows; 10. Advanced Topics.