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The Project Gutenberg EBook of A Course of Pure Mathematics, by G.H. Hardy.

This eBook is for the use of anyone anywhere at no cost and with almost no restrictions whatsoever. You may copy it, give it away or re-use it under the terms of the Project Gutenberg License included with this eBook or online at Gutenberg.

Title: | A Course of Pure Mathematics |

Author: | G.H. Hardy, M.A., F.R.S. |

Edition: | Third |

Release Date: | Oct. 29, 2012 [EBook #36276] |

Language: | English |

Character set encoding: | UTF-8 |

Markup: | HTML5 + MathML |

Source Markup: | LATEX |

Contents3

Preface to the Third Edition3

Extract from the Preface to the Second Edition5

Extract from the Preface to the First Edition6

IReal Variables9

IIFunctions of Real Variables113

IIIComplex Numbers217

IVLimits of Functions of a Positive Integral Variable357

VLimits of Functions of a Continuous Variable. Continuous and Discontinuous Functions533

VIDerivatives and Integrals639

VIIAdditional Theorems in the Diﬀerential and Integral Calculus863

VIIIThe Convergence of Inﬁnite Series and Inﬁnite Integrals1043

IXThe Logarithmic and Exponential Functions of a Real Variable1201

XThe General Theory of the Logarithmic, Exponential, and Circular Functions1339

Appendix I1491

Appendix II1513

Appendix III1522

Appendix IV1528

Preface to the Third Edition3

Extract from the Preface to the Second Edition5

Extract from the Preface to the First Edition6

IReal Variables9

IIFunctions of Real Variables113

IIIComplex Numbers217

IVLimits of Functions of a Positive Integral Variable357

VLimits of Functions of a Continuous Variable. Continuous and Discontinuous Functions533

VIDerivatives and Integrals639

VIIAdditional Theorems in the Diﬀerential and Integral Calculus863

VIIIThe Convergence of Inﬁnite Series and Inﬁnite Integrals1043

IXThe Logarithmic and Exponential Functions of a Real Variable1201

XThe General Theory of the Logarithmic, Exponential, and Circular Functions1339

Appendix I1491

Appendix II1513

Appendix III1522

Appendix IV1528