The ebook
Elementary Calculus
is based on material originally written by H.J. Keisler. For more information please read the
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Index
Editorial
Copyright
Download and Release History
Real and Hyperreal Numbers
Differentiation
Continuous Functions
Integral
Limits, Analytic Geometry, and Approximations
Applications of the Integral
Trigonometric Functions
Trigonometry
Unit Circle, Length of an Arc, Sector
Theorem 1: Length of Arc
Definition of Radians
Defining Sine and Cosine
Defining Other Trigonometric Functions
Trigonometric Identities
Problems
Derivatives of Trigonometric Functions
Inverse Trigonometric Functions
Integration by Parts
Integrals of Powers of Trigonometric Functions
Trigonometric Substitututions
Polar Coordinates
Slopes And Curve Sketching in Polar Coordinates
Area in Polar Coordinates
Length of a Curve in Polar Coordinates
Extra Problems for Chapter 7
Exponential and Logartihmic Functions
Infinite Series
Vectors
Partial Differentiation
Multiple Integrals
Vector Calculus
Differential Equations
Appendix et Addenda
Last Update: 20110122