The Mysterious Name of the Integral Symbol: A Mystery Solved?

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SUMMARY

The integral symbol, first used by Gottfried Wilhelm Leibniz, is definitively called the "integral symbol." It is derived from the Latin and Greek letters for "S," representing "sum," which emphasizes its function in calculus as a limit of sums. The symbol is also referred to as "summa," highlighting its historical context. This discussion clarifies the integral symbol's nomenclature and its mathematical significance.

PREREQUISITES
  • Understanding of calculus concepts, particularly integration
  • Familiarity with the history of mathematical symbols
  • Knowledge of Leibniz's contributions to mathematics
  • Basic comprehension of limits and summation notation
NEXT STEPS
  • Research the historical development of mathematical symbols, focusing on Leibniz
  • Explore the relationship between integration and summation in calculus
  • Learn about the contributions of Riemann and Darboux to integral calculus
  • Investigate the use of integral symbols in modern mathematical notation
USEFUL FOR

Mathematicians, calculus students, educators, and anyone interested in the historical context and significance of mathematical symbols.

ascky
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What is the actual name for the integral symbol? I know it was first used by Leibniz, but did he actually call it anything...? It's really hard trying to convince my friends the integral symbol is the sexiest thing ever invented, when I don't even know her true name. :blushing:
 
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It's called an integral symbol. Sorry to disappoint.

- Warren
 
Grrr... I knew it.
 
Lol - the "sexiest" thing ever invented.
 
My father called it a "sea horse"!
 
It's somthing devious here.If Leibniz invented it,and from what i know the story goes that he wanted to mix the Latin and Greek letters for S,then what would S mean...??My guess is that it would have to do with the sum
\sum f(x)dx,since both Riemann and Darboux lived well after Leibniz,right??
:confused:
 
"The symbol \int_{a}^{b} f(x)dx reminds us that an integral is a limit of sums (the integral sign is an old-fashioned S) of terms of the form f(x) times a small difference of x."

-Hughes Hallett. calculus, single variable

so the integral sign is an s which stands for "sum"
 
Last edited:
The symbol is also known as a "summa", in reference to its origin -> http://occawlonline.pearsoned.com/bookbind/pubbooks/thomas_awl/chapter1/medialib/custom3/topics/calculus.htm .
 
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