Calculus Set Free - Infinitesimals to the Rescue

Calculus Set Free: Infinitesimals to the Rescue is a single-variable calculus textbook that incorporates the use of infinitesimal methods.

List 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

About the author

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.

Summary

Calculus Set Free: Infinitesimals to the Rescue is a single-variable calculus textbook that incorporates the use of infinitesimal methods.

Additional text

Calculus Set Free is a well-written and self-contained text which offers a novel and mathematically rigorous approach to the topics typically present in Calculus 1 and 2. The text is largely successful in what it sets out to accomplish, and teachers interested in offering an introduction to Calculus built on an alternative theoretical approach should consider this text.

Product details

• Authors: Dawson , C. Bryan Dawson, C. Bryan (University Professor of Mathemat Dawson
• Publisher: Oxford University Press
• Languages: English
• Product format: Paperback / Softback
• Released: 30.11.2021
• EAN: 9780192895608
• ISBN: 978-0-19-289560-8
• No. of pages: 1616
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Analysis; Calculus, MATHEMATICS / Functional Analysis, MATHEMATICS / Mathematical Analysis, MATHEMATICS / Calculus, Calculus & mathematical analysis, Calculus of variations, Calculus and mathematical analysis