## Mathematics for engineers, Volume 1 |

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### Contents

Theory of fields | 59 |

Functions of a complex variable | 103 |

Vector spaces | 206 |

Copyright | |

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### Common terms and phrases

abscissa of convergence absolutely convergent arbitrary Banach space basis bounded calculate called circle complex number complex plane constant continuous contravariant contravariant components Corollary corresponding covariant curl curve curvilinear coordinates Definition derivative differentiable disk elements equal equation euclidian field lines finite number following theorem formula Fourier series function f(z grad 9 hence holomorphic function inequality interval Laplace transform lemma Let us consider Let us denote Let us prove Let us suppose Let us write linear mapping measurable functions measurable set monogeneous function natural number necessary and sufficient norm normed vector space obtain open set original orthogonal point z0 prove the following real numbers relationship Remark right-hand side scalar product sequence solution summable taking into account Taking the limit tangent tensor uniformly unit vector vector field vector space whence we deduce zero