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Basic real analysis / Houshang H. Sohrab.

By: Material type: TextTextPublication details: New York : Birkhauser, 2014.Edition: 2nd edDescription: xi, 683 p. ; 24 cmISBN:
  • 9781493918409
Subject(s): DDC classification:
  • 515 23 So682
Contents:
1. Set Theory -- 2. Sequences and Series of Real Numbers -- 3. Limits of Functions -- 4. Topology of R and Continuity -- 5. Metric Spaces -- 6. The Derivative -- 7. The Riemann Integral -- 8. Sequences and Series of Functions -- 9. Normed and Function Spaces -- 10. Lebesgue IMeasure and integral in R-- 11. More on Lebesgue Integral and Measure -- 12. General Measure and Probability -- A Construction of Real Numbers -- Bibliography -- Index.
Summary: The book is a clear and well-structured introduction to real analysis aimed at senior undergraduate and beginning graduate students. The prerequisites are few, but a certain mathematical sophistication is required. ... The text contains carefully worked out examples which contribute motivating and helping to understand the theory. There is also an excellent selection of exercises within the text and problem sections at the end of each chapter. In fact, this textbook can serve as a source of examples and exercises in real analysis.
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Holdings
Item type Current library Call number Status Date due Barcode Item holds
Books ISI Library, Kolkata 515 So682 (Browse shelf(Opens below)) Available 136599
Total holds: 0

Includes bibliographical references and index.

1. Set Theory --
2. Sequences and Series of Real Numbers --
3. Limits of Functions --
4. Topology of R and Continuity --
5. Metric Spaces --
6. The Derivative --
7. The Riemann Integral --
8. Sequences and Series of Functions --
9. Normed and Function Spaces --
10. Lebesgue IMeasure and integral in R--
11. More on Lebesgue Integral and Measure --
12. General Measure and Probability --
A Construction of Real Numbers --
Bibliography --
Index.

The book is a clear and well-structured introduction to real analysis aimed at senior undergraduate and beginning graduate students. The prerequisites are few, but a certain mathematical sophistication is required. ... The text contains carefully worked out examples which contribute motivating and helping to understand the theory. There is also an excellent selection of exercises within the text and problem sections at the end of each chapter. In fact, this textbook can serve as a source of examples and exercises in real analysis.

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