Drinking water quality has been a matter of concern for several decades. Disinfection of drinking water improves its microbiological quality and prevents disease outbreaks. However, continuously increasing scientific research concerns the presence of organic and inorganic contaminants in water. Many of these compounds, named haloforms, originate from the procedure of disinfection, being formed during reactions of disinfectants with natural organic matter present in water. Haloforms may possess carcinogenic or mutagenic properties; therefore minimization of their concentrations in drinking water is a critical issue. Regulatory measures are becoming more and more stringent, as new health effects become known and optimized high-sensitivity analytical methodologies are being developed. Up-to-date research findings concerning all these aspects have been collected, critically reviewed, summarized, and are presented and discussed in the present book.

Drinking water quality has been a matter of concern for several decades. Disinfection of drinking water improves its microbiological quality and prevents disease outbreaks. However, continuously increasing scientific research concerns the presence of organic and inorganic contaminants in water. Many of these compounds, named haloforms, originate from the procedure of disinfection, being formed during reactions of disinfectants with natural organic matter present in water. Haloforms may possess carcinogenic or mutagenic properties; therefore minimization of their concentrations in drinking water is a critical issue. Regulatory measures are becoming more and more stringent, as new health effects become known and optimized high-sensitivity analytical methodologies are being developed. Up-to-date research findings concerning all these aspects have been collected, critically reviewed, summarized, and are presented and discussed in the present book.

this gap. In sixteen survey articles the most important theoretical results, algorithms and software methods of computer algebra are covered, together with systematic references to literature. In addition, some new results are presented. Thus the volume should be a valuable source for obtaining a first impression of computer algebra, as well as for preparing a computer algebra course or for complementary reading. The preparation of some papers contained in this volume has been supported by grants from the Austrian "Fonds zur Forderung der wissenschaftlichen For schung" (Project No. 3877), the Austrian Ministry of Science and Research (Department 12, Dr. S. Hollinger), the United States National Science Foundation (Grant MCS-8009357) and the Deutsche Forschungsgemeinschaft (Lo-23 1-2). The work on the volume was greatly facilitated by the opportunity for the editors to stay as visitors at the Department of Computer and Information Sciences, University of Delaware, at the General Electric Company Research and Development Center, Schenectady, N. Y. , and at the Mathematical Sciences Department, Rensselaer Polytechnic Institute, Troy, N. Y. , respectively. Our thanks go to all these institutions. The patient and experienced guidance and collaboration of the Springer-Verlag Wien during all the stages of production are warmly appreciated. The editors of the Cooperative editor of Supplementum Computing B. Buchberger R. Albrecht G. Collins R. Loos Contents Loos, R. : Introduction. . . . . . . . . . . . . . . . . . . . . . . . . . 1 Buchberger, B. , Loos, R. : Algebraic Simplification . . . . . . . . . . 11 Neubiiser, J. : Computing with Groups and Their Character Tables. 45 Norman, A. C. : Integration in Finite Terms. . . . . . . . . . . . . .

Arithmetik ist eine UEbersetzung des vierten Kapitels der legendaren Werkreihe The Art of Computer Programming von Donald E. Knuth in der neuesten Fassung. Donald E. Knuth bietet hier eine umfangreiche Einfuhrung in die Computeralgebra, die den aktuellen Stand der Forschung berucksichtigt. Er versteht es, die Algorithmen didaktisch sehr geschickt und ohne Kompromisse bei der Strenge aufzubereiten. Das Wechselspiel zwischen Entwurf und Analyse von Algorithmen gibt faszinierende Einsichten in das Handwerk des Informatikers.