## Differential and integral calculus, Volume 1 |

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### Contents

Introductory Remarks | 1 |

The Concept of Function | 14 |

More Detailed Study of the Elementary Functions | 22 |

Copyright | |

54 other sections not shown

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### Common terms and phrases

absolutely convergent angle approximation arbitrary assume bounded calculate chain rule Chap circular frequency co-ordinates coefficients consider constant continuous function convergent series corresponding cosh coshx cosx curvature curve defined definition denote derivative difference quotient differential equation discontinuity diverges elementary functions equal example exists exponential function expression fact finite number Fourier series function f(x geometrical given graph Hence increases indefinite integral independent variable inequality infinite series integral calculus integrand interval inverse function length of arc limit logarithm mathematics mean value theorem monotonic n-th negative obtain oscillation parameter partial sum point of accumulation polynomial positive number power series primitive function proof Prove quantity rational functions rational numbers rectangle represented right-hand side sinhx sinx solution sub-interval substitution tangent tanx Taylor series Taylor's theorem tends to zero tion trigonometric uniform convergence vanishes velocity vibration write x-axis