This book displays a unique combination of lightness and rigor, leavened with the right dose of humor. When I used it for a course, students could not get enough, and I have been recommending independent study from it to students wishing to take a core course in analysis without having taken the prerequisite course. The material is very well chosen and arranged, and teaching from Liebeck’s book has in many different ways been among my most rewarding teaching experiences during the last decades.
—Boris Hasselblatt, Tufts University, Medford, Massachusetts, USA
"In addition to preparing students to go on in mathematics, it is also a wonderful choice for a student who will not necessarily go on in mathematics but wants a gentle but fascinating introduction into the culture of mathematics. … This book will give a student the understanding to go on in further courses in abstract algebra and analysis. The notion of a proof will no longer be foreign, but also mathematics will not be viewed as some abstract black box. At the very least, the student will have an appreciation of mathematics. As usual, Liebeck’s writing style is clear and easy to read. This is a book that could be read by a student on his or her own. There is a wide selection of problems ranging from routine to quite challenging.
—From the Foreword by Robert Guralnick, University of Southern California, Los Angeles, USA
Praise for Previous Editions
The book will continue to serve well as a transitional course to rigorous mathematics and as an introduction to the mathematical world … .
—Gerald A. Heuer, Zentralblatt MATH, 2009
…a pleasure to read … a very welcome and highly accessible book.
—Michael Ward, The Mathematical Gazette, March 2007