A book with a collection of examples of general, elementary series.
Description
Preface
Content
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