Pugh C.C. Real Mathematical Analysis

Springer, 2002. — 449 p.In this new introduction to undergraduate real analysis, the author takes a different approach from the past, the stress of the importance of pictures in mathematics and hard problems. The exposition is informal and relaxed, with many helpful asides, examples and occasional comments from mathematicians such as Dieudonne, Littlewood, and Osserman. This book is based on the honors of the course. The author has many times over the last 35 years at Berkeley. The book contains an excellent selection of more than 500 exercises.