## The Analytical Theory of HeatThis unabridged republication of Fourier's Théorie Analytique de la Chaleur offers modern readers access to a landmark of modern science. With this work, the great mathematician first showed how any discontinuous function could be represented by a trigonometric series and advanced other concepts of modern mathematical physics. 1878 English translation. |

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### Contents

is that oi melting ice The temperature of water boiling in | 1 |

CONTENTS OF THE WOEK1 | 10 |

The three specific elements which must be observed are the capacity | 19 |

The unit which serves to measure quantities of heat is the heat | 25 |

Notion of the conducibility proper This property also may be observed | 31 |

AST TAOE | 43 |

Bemarks on the case in which the direct action of the heat extends | 63 |

Application of the preceding theorem to the case in which the function | 82 |

ART pAOK | 123 |

CHAPTER III | 131 |

cos7i+ etc | 137 |

SECTION VI | 143 |

SECTION III | 145 |

SECTION IV | 154 |

PRINCIPLE OF THE COMMUNICATION OF HEAT | 164 |

EQUATIONS OF THE VARIED MOVEMENT OF HEAT IN A SOLID PniSM | 291 |

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### Common terms and phrases

abscissa acquired action actual temperature analysis Application axis body BOLIDES chaleur co-ordinates coefficient conducibility consider constant temperature cooling definite equation definite integrals denoting determine different points differential equations dimensions distance dv dv dx dy effect enclosure expressed external surface extremely fixed temperature flow of heat function given heat equal heat which escapes heat which flows Hence hypothesis infinite solid infinitely small initial temperatures instant dt integral interior lamina laws linear equation maintained mass mathematical analysis medium memoir molecules movement of heat ordinates partial differential equations passes perature permanent temperature perpendicular preceding principles prism problem propagation of heat quantity of heat radiant heat radius ratio rays receives rectangular represented result shew sines solid enclosed solution source of heat sphere substance suppose system of temperatures theorem theory of heat thermometer thickness unit of surface upper plane vary versin

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Page i - The Analytical Theory of Heat. By JOSEPH FOURIER. Translated, with Notes, by A. FREEMAN, MA, Fellow of St John's College, Cambridge. Demy 8vo. i6s. The Scientific Papers of the late Prof. J. Clerk Maxwell. Edited by WD NIVEN, MA Royal 410.