Multivariable Calculus


Welcome. An upcoming book, Multivariable Calculus: With Python is set to be released in the Summer of 2023. This comprehensive text will cover a wide range of topics within multivariable calculus and present up-to-date methods used by professionals with python programming language implementations for readers’ convenience. Both paperback and hardcover copies are soon available on Amazon!

Short Description

In this book, we’ll explore multivariable calculus using python. Topics include multivariable functions and their limits, partial derivatives, and their applications, and multiple integration and applications. We detail vector-valued functions and vector fields. Towards the end, vector calculus by examining vector fields, line integrals, surface integrals, and some marvelous theorems involving these integrals. In the finale, the theory of electromagnetism is revealed.

Other Resources

Pairing this book with my YouTube channel allows readers to explore the main ideas in-depth. Engage your imagination and challenge yourself as you read, write, and watch videos all on one site - allowing a multifaceted understanding of each concept!

Update History

Here is where I keep a log of the majors changes as I finish writing the book.

  1. First draft of preface published on 1/27/2023.
  2. First draft published on 1/18/2023.

Writing Philosophy

I recognize the importance of writing confidently, crafting original ideas, and thoughtfully-argued positions. I take my proficiency in language seriously, seeking to hone good grammar usage and proper punctuation for captivating mathematical exposition. To learn more about how I approach writing mathematics please visit


Without the invaluable support and knowledge of those who contributed to this book, its fruition would not have been possible. I am truly thankful for their generosity which enabled me to see it through completion - a heartfelt thank you from the bottom of my heart!

David A. Smith \ Fort Worth, Texas