Prof. Jörg Flum, Abteilung für Mathematische Logik, Albert-Ludwigs-Universität Freiburg, Germany, http://logik.mathematik.uni-freiburg.de/personen/Flum.html Prof. Martin Grohe, Institut für Informatik, Humboldt-Universität zu Berlin, Germany, http://www.informatik.hu-berlin.de/~grohe/The authors are very well qualified to write this book. In addition to their strong backgrounds in complexity, algorithms, etc., they have contributed a number of specific key results in parameterized complexity (e.g., http://epubs.siam.org/sam-bin/dbq/article/42720).Jörg Flum has coauthored two other Springer monographs: (i) "Mathematical Logic", Undergraduate Texts in Mathematics, 0-387-94258-0, 3rd printing since 1994, over 4000 copies sold, Heinz-Dieter Ebbinghaus, Jörg Flum, Wolfgang Thomas, http://www.springer.com/0-387-94258-0. (ii) "Finite Model Theory", Springer Monographs in Mathematics (was in series Perspectives in Mathematical Logic), printed in soft- and hardback, 1995, 2nd ed. in 1999, 2nd corr. print in 2006, Heinz-Dieter Ebbinghaus, Jörg Flum, 3-540-28787-6, http://www.springer.com/3-540-28787-6. In addition, Jörg Flum coauthored the following LNM title: Vol. 769, "Topological Model Theory, 1980, 3-540-09732-5, Jörg Flum, Martin Ziegler. And he coedited the following LNCS title: Vol. 1683, CSL 1999 conf. proc., Jörg Flum, Mario Rodriguez-Artalejo, 1999, 3-540-66536-6.Prof. Martin Grohe has authored over 50 articles for refereed theoretical computer science journals and conference proceedings (http://www.informatik.uni-trier.de/~ley/db/indices/a-tree/g/Grohe:Martin.html) in the areas of logic, complexity, algorithms, etc.