## 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

### Common terms and phrases

absolutely convergent acceleration vector ANALYTIC GEOMETRY angle area density axis CALCULUS OF FUNCTIONS chain rule circle commodity curvature cylinder defined Definition denoted DIFFERENTIAL CALCULUS distance dot product double integral Draw a sketch elliptic EXAMPLE Exercises 13 exists f(xo Figure following theorem formula function f geometric given series graph Hence infinite series intersection interval iterated integral lamina lim f(x Maclaurin series normal vector obtain orthogonal parallel parametric equations partial derivatives perpendicular PLANE AND PARAMETRIC position representation positive integer power series proof Prove Theorem radian measure radius of convergence real numbers region bounded scalar sequence series is convergent shown in Fig sinh slug-ft slugs/ft SOLID ANALYTIC GEOMETRY SOLUTION SOLUTIONZ SPACE AND SOLID subregion surface tangent line THREE-DIMENSIONAL SPACE tion unit tangent vector unit vector vector equation vector-valued function VECTORS IN THREE-DIMENSIONAL vectors in V2 xy plane zero