Write Your Own Proofs by Amy Babich & Laura Person

Author:Amy Babich & Laura Person
Language: eng
Format: epub
Publisher: Dover Publications, Inc.
Published: 2019-09-02T16:00:00+00:00

Notation. Let f: → be a function. Let m, n ∈ , such that m < n. The symbol denotes the sum f(m) + f(m + 1) + . . . + f(n).

For each For each m, n ∈ , if m > n then The symbol is pronounced, “the sum, from k equals m to n, of f of k.”

Remarks. Some students find the summation sign intimidating at first. Actually it is a rather handy abbreviation for writing down a sum of many terms.

In case you dislike the notation feel free to use “f(m) + f(m + 1) + . . . + f(n)” in your own work. It is necessary to be able to read all standard mathematical notation. But you need not use notation winch you dislike. You will probably come to appreciate the summation sign in time. It really is very convenient for writing long sums.

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