"Gunning's book is a great introduction to analysis that presents precisely what an honors analysis course should include. The writing is rigorous but lively, and much interesting mathematics is packed in it."--Wilhelm Schlag, University of Chicago "A valuable, wonderful book."--Camil Muscalu, Cornell University "An excellent and unusual book by an esteemed mathematician and teacher. An Introduction to Analysis is a uniquely valuable sourcebook for much of undergraduate mathematics."--John B. Garnett, University of California, Los Angeles