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Combined, these features make this one ideal for reading before class, getting disinterested students engaged, and inspiring the future problem-solvers of the world. The author also has a gift for framing tricky concepts in a way that makes sense to many. This book is light on technical content and heavy on stories and explanations of how calculus has paved the way for things like radio, television, GPS, ultrasound, the splitting of the atom, and much more. We added Infinite Powers as an alternative for those who require some context to comprehend math. He added a contemporary and user-friendly voice, updated the text to reflect recent developments in method and terminology, wrote an extensive preface and three new introductory chapters, and added more than twenty recreational problems for practice and enjoyment.

To ensure it was still up to snuff in modern times, mathematician Martin Gardner provided its first major revision since 1921. This one may be over 100 years old, but its tried-and-true way of explaining timeless calculus fundamentals has made it a favorite over the decades. We replaced it with a book that is decidedly more beginner-friendly and a classic in the math world: Calculus Made Easy. If you don't struggle with the discipline in general and have the right prerequisite knowledge, then it's still a suitable choice for learning on your own. In reality, it's a tad too rigorous for many self-learners to appreciate without additional help. We decided to remove Calculus Deconstructed, which was billed as a volume suitable for autodidacts. Like with our last update, we made sure every title on this list was in the most recent version, which meant bringing Calculus: Graphical, Numerical, Algebraic up to the fifth edition.