Excursions in Calculus is a beautifully written fascinating book. The book consists of six essays on the topics s of Mathematical Induction, the Bionomial Theorem, Fibonacci numbers, Averages, Approximations, and Infinite Series. Interwoven through these chapters are elementary number theory, combinatorics, probability theory, calculus and geometry. Each chapter includes the history and development of these ideas, along with the connections among them. And each chapter is a gem. The writing is clear and compelling. The exercises at the end of each section are excellent. These include difficult and even unsolved problems that are fun to tackle and that develop many of their most interesting and historically famous results. — The Aamerican Mathematical Monthly
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