This book goes beyond the basics of a first course in calculus to reveal the power and richness of the subject. Standard topics from calculus - such as the real numbers, differentiation and integration, mean value theorems, the exponential function - are reviewed and elucidated before digging into a deeper exploration of theory and applications, such as the AGM inequality, convexity, the art of integration, and explicit formulas for p. Further topics and examples are introduced through a plethora of exercises that both challenge and delight the reader. While the reader is thereby exposed to the many threads of calculus, the coherence of the subject is