¹ Source: wiktionary.com
Definition of Infinitesimals
1. infinitesimal [n] - See also: infinitesimal
Lexicographical Neighbors of Infinitesimals
Literary usage of Infinitesimals
Below you will find example usage of this term as found in modern and/or classical literature:
1. A Treatise on Infinitesimal Calculus: Containing Differential and Integral by Bartholomew Price (1857)
"The determination of orders of infinitesimals. 118.] It is necessary first to
repeat with greater exactness the main points of the account of infinitesimals ..."
2. The Encyclopaedia Britannica: A Dictionary of Arts, Sciences, and General by Thomas Spencer Baynes (1888)
"Again, two infinitesimals a, 0 are said to be of the same order if the fraction -
tends to a finite limit If - tends to a finite limit, a a" 0 is called an ..."
3. A First Course in the Differential and Integral Calculus by William Fogg Osgood (1922)
"CHAPTER IV Infinitesimals AND DIFFERENTIALS 1. Infinitesimals. An infinitesimal
is a variable which it is desirable to consider only for values numerically ..."
4. A Course in Mathematics: For Students of Engineering and Applied Science by Frederick Shenstone Woods, Frederick Harold Bailey (1909)
"Fundamental theorems on infinitesimals. There are two important problems which
arise in the use of infinitesimals, namely : t* 1. ..."
5. College Algebra by Henry Lewis Rietz, Arthur Robert Crathorne (1919)
"Infinitesimals. A very important class of variables which, are assumed to ...
They are called infinitesimals. The area between a circle and the inscribed ..."
6. Elements of the Differential and Integral Calculus: With Examples and by James Morford Taylor (1898)
"From sums of infinitesimals of different orders, all infinitesimals of the higher
... (2) Supposing the increments to be infinitesimals of the first order, ..."
7. Calculus by Herman William March, Henry Charles Wolff (1917)
"Order of Infinitesimals. Consider the infinitesimals ж2 and a; as a; approaches
zero. The ratio of ж2 to ж is x, which is itself an infinitesimal. ..."
8. Differential and Integral Calculus by Clyde Elton Love (1916)
"Infinitesimals. An infinitesimal is a variable whose limit is 0. ... Limit of
the ratio of two infinitesimals. We return to the exceptional case of ..."
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