By Robert J VanderbeiThis ebook deals a primary direction in research for scientists and engineers. it may be used on the complicated undergraduate point or as a part of the curriculum in a graduate application. The ebook is outfitted round metric areas. within the first 3 chapters, the authors lay the foundational fabric and canopy the all-important “four-C’s”: convergence, completeness, compactness, and continuity. In next chapters, the elemental instruments of study are used to offer short introductions to differential and essential equations, convex research, and degree thought. The remedy is glossy and aesthetically entertaining. It lays the basis for the desires of classical fields in addition to the real new fields of optimization and likelihood idea.