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
Outline of Chapter 1
The Real Line
Functions of Real Numbers
Straight Lines
Definition
Definition: Linear Function
Theorem 1: Slope Of a Line
Theorem 2: Linear Equation
Examples
Problems
Slope and Velocity; the Hyperreal Line
Infinitesimal, Finite and Infinite Numbers
Standard Parts
Differentiation
Continuous Functions
Integral
Limits, Analytic Geometry, and Approximations
Applications of the Integral
Trigonometric Functions
Exponential and Logartihmic Functions
Infinite Series
Vectors
Partial Differentiation
Multiple Integrals
Vector Calculus
Differential Equations
Appendix et Addenda
Last Update: 20110122