Professor Deitmar holds a Chair in Pure Mathematics at the University of Exeter, U.K. He is a former Heisenberg fellow and was awarded the main prize of the Japanese Association of Mathematical Sciences in 1998. In his leisure time he enjoys hiking in the mountains and practicing Aikido.
A number of groups are described in detail and the reader is encouraged to work with one of the many computer algebra packages available to construct and experience "actual" groups for themselves in order to develop a deeper understanding of the theory and the significance of the theorems. Numerous exercises, of varying levels of difficulty, help to test understanding.
A brief resumé of the basic set theory and number theory required for the text is provided in an appendix, and a wealth of extra resources is available online at www.springer.com, including: hints and/or full solutions to all of the exercises; extension material for many of the chapters, covering more challenging topics and results for further study; and two additional chapters providing an introduction to group representation theory.
Die Inhalte decken die in einer heutigen Bachelor-Vorlesung zum Thema üblichen Themen ab: Ein- und mehrdimensionale Differential- und Integralrechnung, gewöhnliche Differentialgleichungen, Maß- und Integrationstheorie, Differentialformen und der Satz von Stokes. Darüber hinaus sind Kapitel über metrische Räume und allgemeine mengentheoretische Topologie enthalten.