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Calculus and analytic geometry

Author: Melcher P Fobes; Ruth B Smyth
Publisher: Englewood Cliffs, N.J. : Prentice-Hall, 1963.
Series: Prentice-Hall mathematics series.
Edition/Format:   Print book : EnglishView all editions and formats
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Additional Physical Format: Online version:
Fobes, Melcher P.
Calculus and analytic geometry.
Englewood Cliffs, N.J., Prentice-Hall, 1963
(OCoLC)564752446
Document Type: Book
All Authors / Contributors: Melcher P Fobes; Ruth B Smyth
OCLC Number: 191780
Description: 2 volumes : illustrations ; 24 cm.
Contents: v. 1. Introduction: intuitive approach to limits --
The geometry of points and line segments --
Geometry of infinitely many points --
Straight lines --
Functions --
Functions, rates, derivatives --
Calculating derivatives --
New ways of defining functions; their derivatives --
The derivative applied to geometry --
Applications of the derivative to problems --
The differential and the mean value theorem --
The indefinite integral The definite integral --
Applications of integration --
The trigonometric functions --
Inverse functions and inverse trigonometric functions --
The exponential and logarithmic functions --
The conic sections --
Transformations of the plane --
Techniques of indefinite integration --
Evaluation of definite integrals --
Extensions of the definition of definite integral --
More applications of integration --
v. 2. Polar coordinates --
Parametric equations --
Curvature --
Continuous and differentiable functions: "Indeterminate forms" --
Infinite sequences and series of constants --
Power series --
Determinants --
Solid analytic geometry --
Partial derivatives --
Multiple integrals --
Differential equations.
Series Title: Prentice-Hall mathematics series.
Responsibility: Melcher P. Fobes, Ruth B. Smyth.

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