In this new introduction to undergradute real analysis the author takes a different approach from past studies of the subject by introducing 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 like Dieudonne, Littlewood and Osserman.

The exposition is informal and relaxed, with many helpful asides, and examples Contains an excellent selection of more than 500 exercises Ideal for self-study

Autorentext

Charles C. Pugh is Professor Emeritus at the University of California, Berkeley. His research interests include geometry and topology, dynamical systems, and normal hyperbolicity.

Inhalt
1 Real Numbers.- 2 A Taste of Topology.- 3 Functions of a Real Variable.- 4 Function Spaces.- 5 Multivariable Calculus.- 6 Lebesgue Theory.