Compositions of Quadratic Forms

"This is an introduction to the field, a research monograph, and a comprehensive survey."



P. Schmitt, Wien, in: Monatshefte für Mathematik, Wien, 1/2003

"[…] the book under review contains an impressive wealth of material. Most of it has only appeared in research papers, but quite a few points have been streamlined, and some results were previously unpublished. The mathematical taste of the author also contributes to this abundance: he obviously takes pleasure (to the reader's delight) in discussing topics which are marginally related to compositions of quadratic forms if they look striking or particularly appealing in some ways."
Mathematical Reviews

"The author considers all facets, variations and generalisations of this theme in great detail. Many different ideas and methods from algebra, geometry, combinatorics and topology have been used and are presented here. The choice of material shows good taste and reveals the author’s love for this subject. A lot of exercises and 25 pages of references to the original literature complete the book."
Zentralblatt für Mathematik