Comprehensive Mathematics for Computer Scientists 1

A second edition of a book is a success and an obligation at the same time. We are satis ed that a number of university courses have been orga nized on the basis of the rst volume of Comprehensive Mathematics for Computer Scientists. The instructors recognized that the selfcontained presentation of a broad specturm of mathematical core topics is a rm point of departure for a sustainable formal education in computer sci ence. We feel obliged to meet the valuable feedback of the responsible in structors of such courses, in particular of Joel Young (Computer Science Department, Brown University) who has provided us with numerous re marks on misprints, errors, or obscurities. We would like to express our gratitude for these collaborative contributions. We have reread the entire text and not only eliminated identi ed errors, but also given some addi tional examples and explications to statements and proofs which were exposed in a too shorthand style. A second edition of the second volume will be published as soon as the errata, the suggestions for improvements, and the publishers strategy are in harmony.