## Tales of Mathematicians and PhysicistsThis revised and greatly expanded second edition of the Russian text contains a wealth of new information about the lives and accomplishments of more than a dozen scientists throughout five centuries of history: from the first steps in algebra up to new achievements in geometry in connection with physics. The heroes of the book are renowned figures from early eras, as well some scientists of last century. A unique mixture of mathematics, physics, and history, this volume provides biographical glimpses of scientists and their contributions in the context of the social and political background of their times. |

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### Contents

1 | |

Two Tales of Galileo | 27 |

Christiaan Huygens and Pendulum Clocks | 79 |

Secrets of the Cycloid | 93 |

Blaise Pascal | 128 |

The Beginnings of Higher Geometry | 151 |

Leonhard Euler | 171 |

Joseph Louis Lagrange | 213 |

PierreSimon Laplace | 247 |

Prince of Mathematicians | 263 |

Felix Klein | 310 |

The Magic World of Henri Poincaré | 323 |

The Enigma of Ramanujan | 337 |

On the Advantages of Coordinates and the Art of Chaining Hyperboloids | 348 |

The Complex World of Roger Penrose | 369 |

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### Common terms and phrases

17th century Academy algebraic analysis analytic angle appeared argument arithmetic astronomical Bernoulli calculations called Cardano celestial mechanics circle clock completely conic sections consider constructing coordinates corresponding cubic equation curve cycloid d’Alembert Descartes discovered discovery distance earth equal equation Euclidean Euclidean geometry Euler example Fermat Figure formula free fall functions Galileo Gauss homogeneous coordinates Huygens hyperbolic geometry hyperboloids idea infinite infinity integers intersection Johann Bernoulli Jupiter Jupiter’s Kepler Klein Lagrange Lagrange’s Laplace Laplace’s later Leibniz length letter lines mathematicians mathematics method moons motion move natural Newton number theory observations obtain P-lines parabola Pascal pendulum physics plane Plücker Plücker coordinates Poincaria points position prime principle problems projective geometry proof prove published quadratic irrationals quadratic residue Ramanujan recall remarkable roots scientific scientists solution solving surface tangent Tartaglia theorem thought tion trajectory transformations translated triangle turned velocity wrote