From Calculus to Analysis
This textbook features applications including a proof of the Fundamental Theorem of Algebra, space filling curves, and the theory of irrational numbers. In addition to the standard results of advanced calculus, the book contains several interesting applications of these results. The text is intend...
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| 主要作者: | |
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| 企业作者: | |
| 格式: | 电子 电子书 |
| 语言: | English |
| 出版: |
Cham :
Springer International Publishing : Imprint: Springer,
2015.
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| 版: | 1st ed. 2015. |
| 主题: | |
| 在线阅读: | https://doi.org/10.1007/978-3-319-13641-7 |
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书本目录:
- Part I
- Limits
- Introduction to Continuity
- Sets of Real Numbers
- Counting
- Continuity
- Derivatives and their Applications
- The Riemann Integral
- The Logarithm and the Exponential Function
- Part II
- Convergence of Sequences
- Series
- Trigonometric Functions and Applications
- Fourier Series
- Topology
- Appendices.