Real mathematical analysis
By: Charles Chapman Pugh
Series: Undergraduate texts in mathematics; Undergraduate texts in mathematics
Publisher: Springer
Published: 2010
Place of publication: New York
Language: eng
Number of pages: 437
ISBN-13: 9781441929419
Subjects: Mathematical analysis
Description: 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.
Notes: Includes bibliographical references (p. 414-416) and index.
Table of contents: title: Real numbers; title: A taste of topology; title: Functions of a real variable; title: Function spaces; title: Multivariable calculus; title: Lebesgue theory.