This book brings mathematical intuition into a first semester calculus course. Instead of trying to just get through calculus as a means to an end, this book attempts to find beauty and unity in the content in ways that most books do not consider. For instance, this book introduces the "boxing rule" that is used time and time again in many applications and techniques. It is just the multivariable chain rule rephrased in a simpler way. It is derived intuitively and then used for general derivative computation, implicit differentiation, related rates, differential approximation, and more. This book has many exercises which are challenging and yet doable!
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