By W. F. Carroll, ISBN 0-471-28345-2
This book disassembles the entire finite element method for civil engineeringstudents and professionals, detailing its supportive theory and its mathematicaland structural underpinnings in the context of elastic structures andthe principle of virtual work. The book opens with a discussion of matrixalgebra and algebraic equation systems. In the early chapters one-dimensionalelements are described, while subsequent chapters describe in depth manytwo-dimensional structural finite elements, including the geometry, mechanics,transformations, and mapping needed for them. An appendix describes howto use MATLAB to perform the matrix operations required for the finiteelement method, such as matrix addition, multiplication, inversion, partitioning,rearrangements, and assembly.