## An Introduction to MathematicsThis distinguished little book offers a brisk introduction to a series of mathematical concepts, a history of their development, and a concise summary of how today's reader may use them. |

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### Contents

The Abstract Nature of Mathematics | 1 |

Variables | 7 |

Methods of Application | 14 |

Dynamics | 27 |

The Symbolism of Mathematics | 39 |

Generalizations of Number | 49 |

Imaginary Numbers | 61 |

Imaginary Numbers continued | 72 |

Functions | 107 |

Periodicity in Nature | 121 |

Trigonometry | 128 |

Series | 144 |

The Differential Calculus | 162 |

Geometry | 176 |

Quantity | 183 |

Bibliography | 187 |

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### Common terms and phrases

2x+A absolutely convergent abstract algebraic form angle AOP applied arc AP argument astronomer axis called chapter circle co-ordinate geometry conic sections consider continuous function convergent correlation corresponding cosine curve defined definite number determined diagram differential calculus direction easy elementary ellipse equal equation example explained exponential function fact force fractions function geometric series graph Greek Hence hyperbolas important infinite series integers interpretation interval laws of motion Leibniz length limit locus magnitude mathe mathematical ideas mathematicians matical meaning measure method namely nature negative numbers Newton notation number of terms ordered couple origin pair of numbers parabola parallelogram law particular period periodic function phenomena plane projective geometry properties quantity rate of increase ratio real numbers relation represents result satisfied sensations sense sine standard of approximation straight line sum to infinity symbols theory things thought tion triangle trigonometry uniformly convergent variable numbers vector velocity vibration whole