An introduction to real analysis
著者
書誌事項
An introduction to real analysis
（The Sally series, . Pure and applied undergraduate texts ; 65）
American Mathematical Society, c2024
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注記
Includes index
内容説明・目次
内容説明
An Introduction to Real Analysis gives students of mathematics and related sciences an introduction to the foundations of calculus, and more generally, to the analytic way of thinking. The authors' style is a mix of formal and informal, with the intent of illustrating the practice of analysis and emphasizing the process as much as the outcome.
The book is intended for use in a one- or two-term course for advanced undergraduates in mathematics and related fields who have completed two or three terms of a standard university calculus sequence.
目次
The real numbers
Sequences and series
The topology of the real line
Continuous functions
Sequences and series of functions
Differentiation
The Riemann integral
The Lebesgue integral
Appendix A. Set theory and constructing $\mathbb {R}$
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