Infinitesimal Calculus, Section I (1920) by F. S. Carey is a book that covers the fundamentals of calculus, including limits, derivatives, and integrals. It is designed for students who are new to calculus and provides a clear and concise introduction to the subject. The book is divided into several chapters, each of which focuses on a specific topic. The first chapter introduces the concept of limits and explains how they are used to define derivatives. The second chapter covers the rules of differentiation, including the chain rule, product rule, and quotient rule. The third chapter discusses applications of derivatives, such as optimization problems and curve sketching. The fourth chapter introduces integrals and explains how they are used to find areas under curves. The book also includes numerous examples and exercises to help readers practice and apply the concepts they have learned. Overall, Infinitesimal Calculus, Section I (1920) is a comprehensive and accessible guide to calculus that is ideal for students and anyone interested in learning the basics of this important mathematical discipline.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work.
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