Mathematical analysis
著者
書誌事項
Mathematical analysis
（Addison-Wesley series in mathematics）
Addison-Wesley, c1974
2nd ed
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Mathematical analysis / Tom M. Apostol
BA20266988
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Mathematical analysis / Tom M. Apostol
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注記
Previous ed.: 1959
Includes bibliographical references and indexes
内容説明・目次
内容説明
It provides a transition from elementary calculus to advanced courses in real and complex function theory and introduces the reader to some of the abstract thinking that pervades modern analysis.
目次
1. The Real and Complex Number Systems.
2. Some Basic Notions of Set Theory.
3. Elements of Point Set Topology.
4. Limits and Continuity.
5. Derivatives.
6. Functions of Bounded Variation and Rectifiable Curves.
7. The Riemann-Stieltjes Integral.
8. Infinite Series and Infinite Products.
9. Sequences of Functions.
10. The Lebesgue Integral.
11. Fourier Series and Fourier Integrals.
12. Multivariable Differential Calculus.
13. Implicit Functions and Extremum Problems.
14. Multiple Riemann Integrals.
15. Multiple Lebesgue Integrals.
16. Cauchy's Theorem and the Residue Calculus.
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