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Real mathematical analysis / Charles C. Pugh.

By: Series: Undergraduate texts in mathematicsPublication details: New York : Springer, 2015.Edition: 2nd edDescription: xi, 478 p. : illustrations ; 27 cmISBN:
  • 9783319177700
Subject(s): DDC classification:
  • 515 23 P978
Contents:
1. Real Numbers.- 2. A Taste of Topology.- 3. Functions of a Real Variable.- 4. Function Spaces.- 5. Multivariable Calculus.- 6. Lebesgue Theory.- Bibliography.- Index.
Summary: 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.
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Holdings
Item type Current library Call number Status Date due Barcode Item holds
Books ISI Library, Kolkata 515 P978 (Browse shelf(Opens below)) Available 136477
Total holds: 0

Includes bibliographical references and index.

1. Real Numbers.-
2. A Taste of Topology.-
3. Functions of a Real Variable.-
4. Function Spaces.-
5. Multivariable Calculus.-
6. Lebesgue Theory.-
Bibliography.-
Index.

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.

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