## Calculus Set Free: Infinitesimals to the Rescue

##### Table of Contents

Review

1: Hyperreals, Limits, and Continuity

2: Derivatives

3: Applications of the Derivative

4: Integration

5: Transcendental Functions

6: Applications of Integration

7: Techniques of Integration

8: Alternate Representations: Parametric and Polar Curves

9: Additional Applications of Integration

10: Sequences and Series

C. Bryan Dawson has been teaching calculus for three decades and currently holds the title University Professor of Mathematics at Union University in Jackson, Tennessee, USA. Originally trained in functional analysis, in 2013 Dawson began working in nonstandard calculus, developing many of the infinitesimal procedures featured in this book. Dawson and his wife Martha are both enrolled citizens of the Cherokee Nation, the largest federally recognized tribe of Native

Americans. They have three grown children.

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