Chapter 2: Infinite Summations |
## Chapter 2: Infinite SummationsThe term In this chapter, we will see why infinite series are important. We will also see some of the ways in which they can behave totally unlike finite summations. The discovery of Fourier series accelerated this recognition of the strange behavior of infinite series. We will learn more about why they were so disturbing to mathematicians of the early 19th century. We begin by learning how Archimedes of Syracuse dealt with infinite series. In some respects, he was more careful than needed to be . But, ultimately, his approach became the one that mathematicians would adopt. |

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