## The Calculus, with Analytic Geometry: Infinite series, vectors, and functions of several variables |

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#### LibraryThing Review

User Review - br77rino - LibraryThingTHE textbook for untold thousands of calculus students. The version I had in high school in the 70's had a red cover with a few simple black and yellow geometric shapes. Read full review

#### Review: The Calculus With Analytic Geometry

User Review - Jonathan - GoodreadsA great calculus textbook. No glossy pages or color pictures, but Leithold goes through each procedure in a thorough way proving each theorem as they are introduced. The reader needs a strong understanding of algebra before undertaking this material. Read full review

### Contents

Preface | vii |

Vectors in threedimensional | 654 |

Vectors in the plane | 738 |

Copyright | |

4 other sections not shown

### Common terms and phrases

A X B absolutely convergent angle area density axis chain rule commodity convergent or divergent coordinates cos2 curvature curve cylinder defined Definition denoted differentiable distance domain dot product double integral Draw a sketch equivalently example Exercises 13 Figure following theorem formula geometric series given power series given series graph Hence infinite series interval of convergence lamina lim f(x limit comparison test Maclaurin series n-+oo normal vector obtain parallel parametric equations partial derivatives partial sums position representation positive integer power series power-series representation proof Prove Theorem radian measure radius of convergence ratio test real numbers region bounded scalar sequence of partial series is absolutely series is convergent series is divergent shown in Fig sin2 sinh slug-ft2 slugs/ft2 solid solution surface Taylor series term by term tion unit vector upper bound vector equation vectors in V3 volume xy plane zero