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infinitesimal calculus

DEFINITIONS OF: infinitesimal calculus

1

n the branch of mathematics that is concerned with limits and with the differentiation and integration of functions

Synonyms:
calculus
Types:
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analysis
a branch of mathematics involving calculus and the theory of limits; sequences and series and integration and differentiation
differential calculus, method of fluxions
the part of calculus that deals with the variation of a function with respect to changes in the independent variable (or variables) by means of the concepts of derivative and differential
integral calculus
the part of calculus that deals with integration and its application in the solution of differential equations and in determining areas or volumes etc.
calculus of variations
the calculus of maxima and minima of definite integrals
Fourier analysis, harmonic analysis
analysis of a periodic function into a sum of simple sinusoidal components
Type of:
pure mathematics
the branches of mathematics that study and develop the principles of mathematics for their own sake rather than for their immediate usefulness
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