# Real analysis via sequences and series pdf

## Real Analysis via Sequences and Series | Charles Little | Springer

In mathematics , a series is, roughly speaking, a description of the operation of adding infinitely many quantities, one after the other, to a given starting quantity. Series are used in most areas of mathematics, even for studying finite structures such as in combinatorics , through generating functions. In addition to their ubiquity in mathematics, infinite series are also widely used in other quantitative disciplines such as physics , computer science , statistics and finance. For a long time, the idea that such a potentially infinite summation could produce a finite result was considered paradoxical. This paradox was resolved using the concept of a limit during the 19th century.## Real Analysis

This text gives a rigorous treatment of the foundations of calculus. In contrast to more traditional approaches, infinite sequences and series are placed at the forefront. The approach taken has not only the merit of simplicity, but students are well placed to understand and appreciate more sophisti Phrase Searching You can use double quotes to search for a series of words in a particular order. Wildcard Searching If you want to search for multiple variations of a word, you can substitute a special symbol called a "wildcard" for one or more letters. You can use?

It seems that you're in Germany. We have a dedicated site for Germany. This text gives a rigorous treatment of the foundations of calculus. In contrast to more traditional approaches, infinite sequences and series are placed at the forefront. The approach taken has not only the merit of simplicity, but students are well placed to understand and appreciate more sophisticated concepts in advanced mathematics. This is a well-written textbook with an abundance of worked examples and exercises that is intended for a first course in analysis with modest ambitions.

## Bibliographic Information

DIVERGENT SEQUENCE - CSIR NET - SEQUENCES AND SERIES - PART - 4

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This text gives a rigorous treatment of the foundations of calculus.

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