Selected problems in real analysis

Bibliographic Information

Selected problems in real analysis

B.M. Makarov ... [et al.]

(Translations of mathematical monographs, v. 107)

American Mathematical Society, c1992

Other Title

Izbrannye zadachi po mathmaticheskomu analizu

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Note

Includes bibliographical references (p. 367-368) and index

Description and Table of Contents

Description

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 well-known 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. This book is intended for students and teachers in this field

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 I-III.

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