books
an introduction to mathematical reasoning numbers sets and functions
this book eases students into the rigors of university mathematics . the emphasis is on understanding and constructing proofs and writing clear mathematics . the author achieves this by exploring set theory combinatorics and number theory topics that include many fundamental ideas and may not be a part of a young mathematicians toolkit . this material illustrates how familiar ideas can be formulated rigorously provides examples demonstrating a wide range of basic methods of proof and includes some of the all time great classic proofs . the book presents mathematics as a continually developing subject . material meeting the needs of readers from a wide range of backgrounds is included . the over 250 problems include questions to interest and challenge the most able student but also plenty of routine exercises to help familiarize the reader with the basic ideas .
paperback cambridge university press 1997 isbn 0521597188
abridged n isbn 13 9780521597180 number of pages 362 publisher cambridge univ pr release date 62135769600000