Real mathematical analysis : Pugh, C. C. (Charles Chapman), 1940- : Free Download, Borrow, and Streaming : Internet Archive (original) (raw)

Includes bibliographical references (pages 414-416) and index

Real numbers -- A taste of topology -- Functions of a real variable -- Function spaces -- Multivariable calculus -- Lebesgue theory

In this introduction to undergraduate real analysis the author stresses the importance of pictures in mathematics and hard problems. The exposition is informal, with many helpful asides, examples and occasional comments from mathematicians such as Dieudonne, Littlewood, and Osserman. This book is based on the honors version of a course which the author has taught many times over the last 35 years at Berkeley. The book contains a selection of more than 500 exercises