This book organizes and explains, in a systematic and pedagogically effective manner, recent advances in path integral solution techniques with applications in shastic engineering dynamics. It fills a gap in the literature by introducing to the engineering mechanics community, for the first time in the form of a book, the Wiener path integral as a potent uncertainty quantification tool. Since the path integral flourished within the realm of quantum mechanics and theoretical physics applications, most books on the topic have focused on the complex-valued Feynman integral with only few exceptions, which present path integrals from a shastic processes perspective. Remarkably, there are only few papers, and no books, dedicated to path integral as a solution technique in shastic engineering dynamics. Summarizing recently developed techniques, this volume is ideal for engineering analysts interested in further establishing path integrals as an alternative potent conceptual and computational vehicle in shastic engineering dynamics.