Translations of Mathematical Monographs 1992; 370 pp; softcover Volume: 107 Reprint/Revision History: reprinted 1998 ISBN10: 0821809539 ISBN13: 9780821809532 List Price: US$121 Member Price: US$96.80 Order Code: MMONO/107.S
 This book is intended for students wishing to deepen their knowledge of mathematical analysis and for those teaching courses in this area. It differs from other problem books in the greater difficulty of the problems, some of which are wellknown theorems in analysis. Nonetheless, no special preparation is required to solve the majority of the problems. Brief but detailed solutions to most of the problems are given in the second part of the book. This book is unique in that the authors have aimed to systematize a range of problems that are found in sources that are almost inaccessible (especially to students) and in mathematical folklore. Readership Graduate students as well as experts in theoretical and mathematical physics, differential and integral equations and mathematical analysis. Reviews "This book is full of marvels ... For teacher, for the researcher, this book will prove a priceless resource ... an energizer of one's research efforts, an avenue to new and often surprising ideas ... physically beautiful and elegantly printed."  The Mathematical Intelligencer "This book should be very useful to teachers and students who seek some challenging problems in real analysis."  Mathematical Reviews Table of Contents  Introduction
 Sequences
 Functions
 Series
 Integrals
 Asymptotics
 Functions (continuation)
 Lebesgue measure and the Lebesgue integral
 Sequences of measurable functions
 Iterates of transformations of an interval
 Answers
 Appendix IIII
 Bibliography
 Subject index
