## A First Course in Mathematical PhysicsThe book assumes next to no prior knowledge of the topic. The first part introduces the core mathematics, always in conjunction with the physical context. In the second part of the book, a series of examples showcases some of the more conceptually advanced areas of physics, the presentation of which draws on the developments in the first part. A large number of problems helps students to hone their skills in using the presented mathematical methods. Solutions to the problems are available to instructors on an associated password-protected website for lecturers. |

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### Contents

Complex Numbers | 29 |

Vectors in ℝ3 | 51 |

Vector Spaces | 71 |

Functions of Several Variables | 95 |

Vector Fields and Operators | 125 |

Problems | 154 |

Functions of a Complex Variable | 173 |

A Very Short Introduction | 197 |

FourVector Formalism | 217 |

Quantum Theory | 243 |

An Informal Treatment of Variational Principles | 287 |

A Conic Sections | 301 |

Cylindrical Polar | 306 |

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