## Modern mathematical analysis, Volume 1 |

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### Contents

Solid Analytic Geometry 1 Coordinates The distance formula | 1 |

Direction cosines and numbers | 5 |

Equations of a line | 11 |

Copyright | |

109 other sections not shown

### Common terms and phrases

boundary bounded Chain Rule Chapter coefficients column complex numbers compute constant continuous functions continuously differentiable converges uniformly coordinate system Corollary corresponding curve cylinder define definition denote determine differential equation direction numbers divergence domain double integral dx dy dy dx eigenvalues evaluate exact differential Example EXERCISES Figure Find the equation formula Fourier series given Green's Theorem improper integral inequalities intersection interval iterated integral Jacobian Lemma line integrals line segment linear transformation linearly independent locus matrix multiplying obtain orthogonal orthonormal basis partial derivatives piecewise smooth plane polynomial power series problems Proof rectangle region F result satisfies scalar Section sequence series converges shown in Fig smooth surface solve subspace Suppose tangent Theorem 12 three-space tion uniform convergence variables vector field vector space verify write xy-plane zero