Dive into the complexities and frontiers of computational science with Richard E. Crandall's "Topics in Advanced Scientific Computation," a meticulously crafted volume designed for the research professional. This book transcends the conventional textbook approach, presenting a rich tapestry of problems coupled with their solutions, guiding readers through the intricate pathways of advanced algorithms and computation. Unlike its predecessor, "Topics" shifts the focus from theory and exercises to a more robust exploration of new algorithms, offering a treasure trove of cutting-edge research tools and methodologies. With a comprehensive 40-page appendix, this work eschews supplementary materials for a deeply integrated, self-contained journey into the scientific computation realm. Crandall's "Topics" is not just a sequel to his earlier work; it is an evolution, extending the conversation into realms uncharted and challenges as yet unconquered. Aimed squarely at the research professional, it bridges the gap between theoretical constructs and their practical applications in scientific research. Each page of this volume is infused with Crandall's expertise and passion for computation, making "Topics in Advanced Scientific Computation" an essential resource for anyone looking to expand their understanding of this ever-evolving field. Whether you're unraveling complex algorithms or pioneering new computational methodologies, Crandall's work promises to be a beacon of knowledge, illuminating the path toward scientific innovation and discovery.