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Problems in Real Analysis, Second Edition

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This book contains complete solutions to the 609 problems in the third edition of Principles of Real Analysis, Academic Press, 1998. The problems have been spread over forty sections which follow the format of the book.

All solutions are based on the material covered in the text with frequent refer ences to the results in the text. For instance, a reference to Theorem 7.3 refers to Theorem 7.3 and a reference to Example 28.4 refers to Example 28.4, both in the third edition of Principles of Real Analysis.

This problem book will be beneficial to students only if they use it "properly." That is to say, if students look at a solution of a problem only after trying very hard to solve the problem. Students will do themselves great injustice by reading a solution without any prior attempt on the problem. It should be a real challenge to students to produce solutions which are different from the ones presented here.

We would like to express our most sincere thanks to all the people who made constructive recommendations and corrections regarding the text and the problems. Special thanks are due to Professor Yuri Abramovich for his contributions and suggestions during the writing of this problem book.
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