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The geometric series in calculus
- Source :
- The American Mathematical Monthly. Jan, 1998, Vol. 105 Issue 1, p36, 5 p.
- Publication Year :
- 1998
-
Abstract
- Calculus is characterized by concepts of geometric series. Concerns associated with finite geometric series can be generalized by direct multiplication and a standard definition of derivatives. Integrals directly correlate with Riemann sums during the computation of simple integrals with uniform partitions. Moreover, geometric dissections of intervals can be solved by utilizing the Riemann sum definitions characterized by positive integral powers.
- Subjects :
- Calculus -- Analysis
Series, Geometric -- Analysis
Mathematics
Subjects
Details
- ISSN :
- 00029890
- Volume :
- 105
- Issue :
- 1
- Database :
- Gale General OneFile
- Journal :
- The American Mathematical Monthly
- Publication Type :
- Academic Journal
- Accession number :
- edsgcl.20770649