Introduction to real analysis
著者
書誌事項
Introduction to real analysis
Prentice Hall, c2003
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内容説明・目次
内容説明
For two-semester, junior/senior-level courses in introductory real analysis.
Designed to fill the gaps left in the development of calculus as it is usually presented in the elementary course, this text introduces students to a rigorous understanding of mathematical analysis. An informal, second-person writing style presents challenging mathematical concepts as clearly as possible and provides students with the background required for insight into more advanced courses in pure and applied mathematics.
目次
1. The Real Numbers.
2. Differential Calculus of Functions of One Variable.
3. Integral Calculus of Functions of One Variable.
4. Infinite Sequences and Series.
5. Real Valued Functions of Several Variables.
6. Vector Valued Functions of Several Variables.
7. Integrals of Functions of Several Variables.
8. Metric Spaces.
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