Modern finite element analysis has grown into a basic mathematical tool for almost every field of engineering and the applied sciences.  This introductory textbook fills a gap in the literature, offering a concise, integrated presentation of methods, applications, software tools, and hands-on projects.  Included are numerous exercises, problems, and Mathematica/Matlab-based programming projects.  The emphasis is on interdisciplinary applications to serve a broad audience of advanced undergraduate/graduate students with different backgrounds in applied mathematics, engineering, physics/geophysics.  The work may also serve as a self-study reference for researchers and practitioners seeking a quick introduction to the subject for their research.