## A course of mathematical analysis |

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### Contents

The elementary investigation of functions | 9 |

Derivatives and differentials of functions of several variables | 24 |

Rules for differentiation | 46 |

Copyright | |

22 other sections not shown

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### Common terms and phrases

arbitrary constant argument Clairaut's equation co-ordinate planes const continuous function contour convergent corresponding defined differential equation direction domain of integration domain Q double integral dx dy dy dx equa equal evaluated Example expression extremum fact finite formula Fourier coefficients Fourier series func function f(x geometrical gives Green's formula helix homogeneous equation improper integral increment independent variables infinitesimal initial condition integral curve integral with respect integrand interval iterated integral limit line integral linear equation method n-th order neighbourhood Newton-Leibniz formula obtained order equation ordinary integral Oxy plane parameter partial derivatives particular solution point P(x point P0 point P0(x0 polynomial problem radius vector right-hand side satisfy second order stationary point straight line sub-domains surface integral tangent plane tends to zero term theorem tion total differential trigonometric series triple integral vanish vibration whilst