A Compact Capstone Course in Classical Calculus

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Advanced topics in mathematics are explored in this textbook, designed for undergraduates with minimal prerequisites. The engaging writing style makes complex subjects accessible, covering a range of topics such as the binomial theorem, harmonic series, Euler's constant, and geometric probability. Historical insights enrich the learning experience, while fifteen chapters reveal the elegance of calculus and its significance in the broader mathematical landscape. This resource aims to deepen understanding and appreciation of advanced calculus concepts.