An introduction to analysis
The book contains a rigorous exposition of calculus of a single real variable. It covers the standard topics of an introductory analysis course, namely, functions, continuity, differentiability, sequences and series of numbers, sequences and series of functions, and integration. A direct treatment o...
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| Main Authors: | , |
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| Format: | Book |
| Language: | English |
| Published: |
New Jersey
World Scientific
2017
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| Subjects: | |
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| Summary: | The book contains a rigorous exposition of calculus of a single real variable. It covers the standard topics of an introductory analysis course, namely, functions, continuity, differentiability, sequences and series of numbers, sequences and series of functions, and integration. A direct treatment of the Lebesgue integral, based solely on the concept of absolutely convergent series, is presented, which is a unique feature of a textbook at this level. The text is for a post-calculus course for students majoring in mathematics or mathematics education. It will provide students with a solid background for further studies in analysis, deepen their understanding of calculus, and provide sound training in rigorous mathematical proof. |
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| Item Description: | Includes index. |
| Physical Description: | xiv, 303 pages illustrations 26 cm. |
| ISBN: | 9789813202610 (hardcover) |