Modern Computer Algebra
Joachim von zur Gathen and Jürgen Gerhard.
Textbook, 3rd edition, Cambridge University Press 2013 (publisher site).
ISBN 978-1107039032.
808 pages, 55 b/w illustrations, 53 colour illustrations, 40 tables, 560 exercises.
(Second edition 2003: ISBN 978-0521826464.)
(First edition 1999: ISBN 0521641764.)