This guidebook to mathematics contains in handbook form the fundamental working knowledge of mathematics needed as an everyday reference for working scientists and engineers, as well as for students. Easy to understand and convenient to use, this guidebook concisely provides the information necessary to evaluate most problems that occur in concrete applications. In the newer editions, emphasis was placed on those fields of mathematics that became more important for the formulation and modeling of technical and natural processes, namely numerical mathematics, probability theory and statistics, as well as information processing. Besides many enhancements and new paragraphs, new sections on geometric and coordinate transformations, quaternions and applications, and Lie groups and Lie algebras were added for the sixth edition.