TY - GEN AU - Pugh,Charles C. TI - Real mathematical analysis T2 - Undergraduate texts in mathematics SN - 9783319177700 U1 - 515 23 PY - 2015/// CY - New York PB - Springer KW - Mathematical analysis N1 - Includes bibliographical references and index; 1. Real Numbers.- 2. A Taste of Topology.- 3. Functions of a Real Variable.- 4. Function Spaces.- 5. Multivariable Calculus.- 6. Lebesgue Theory.- Bibliography.- Index N2 - 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. ER -