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
Slope and Velocity; the Hyperreal Line
Infinitesimal, Finite and Infinite Numbers
Summary
I. The Extension Principle
II. Transfer Principle
Application of the Principles
Hyperreal Numbers
Rules For Infinitesimal, Finite and Infinite Numbers
Hyperreals
Examples
Problems
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