Definitions of infinitesimal calculus
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the branch of mathematics that is concerned with limits and with the differentiation and integration of functions
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synonyms:
calculus
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types:
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analysis
a branch of mathematics involving calculus and the theory of limits; sequences and series and integration and differentiation
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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
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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.
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calculus of variations
the calculus of maxima and minima of definite integrals
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Fourier analysis, harmonic analysis
analysis of a periodic function into a sum of simple sinusoidal components
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type of:
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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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