As a multi-volume reference work, the Springer Handbook of Mathematics is primarily intended for scientific libraries, academic institutions, and companies, as well as interested individual customers in research and education. It complements the single-volume, comprehensive Springer Mathematics Handbook, which is particularly aimed at students due to its limited selection of topics. Part I of the Springer Handbook includes, in addition to the introductory chapter and Chapter 1 of the Springer Mathematics Handbook, additional material on advanced complex function theory and the general theory of partial differential equations.