""A First Course In The Differential And Integral Calculus"" is a comprehensive textbook on calculus written by William Fogg Osgood and first published in 1907. The book is divided into two parts, with the first part covering differential calculus and the second part covering integral calculus. The book begins with a brief introduction to the basic concepts of calculus, including limits, derivatives, and integrals. The first part of the book then delves into the study of functions, including polynomial, exponential, logarithmic, and trigonometric functions. The author also covers topics such as the chain rule, implicit differentiation, and related rates.The second part of the book focuses on integral calculus, including the fundamental theorem of calculus, integration by substitution, and integration by parts. The author also covers techniques for evaluating definite integrals, such as trigonometric substitution and partial fractions.Throughout the book, the author provides numerous examples and exercises to help students understand the material. The book is written in a clear and concise style, making it accessible to students with a basic understanding of algebra and geometry. Overall, ""A First Course In The Differential And Integral Calculus"" is a classic textbook on calculus that remains relevant and useful to students and teachers of mathematics today.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.