Examples of General Elementary Series
Leif Mejlbro was educated as a mathematician at the University of Copenhagen, where he wrote his thesis on Linear Partial Differential Operators and Distributions. Shortly after he obtained a position at the Technical University of Denmark, where he remained until h
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A book with a collection of examples of general, elementary series.
Here follows a collection of examples of general, elementary series. The reader is also referred to Calculus 3b. The main subject is Power series; but first we must consider series in general. We shall in Calculus 3c-3 return to the power series.
Finally, even if I have tried to write as careful as possible, I doubt that all errors have been removed. I hope that the reader will forgive me the unavoidable errors.
Leif Mejlbro
- Introduction
- Partial sums and telescopic series
- Simple convergence criteria for series
- The integral criterion
- Small theoretical examples
- Conditional convergence and Leibniz’s criterion
- Series of functions; uniform convergence