Publisher's Synopsis
Elementary Analysis is a mathematical textbook written by Percy Franklyn Smith and first published in 1910. The book covers the basics of calculus, including functions, limits, derivatives, and integrals. It is aimed at undergraduate students who are studying mathematics, physics, or engineering. The book is divided into six main sections, each of which covers a different aspect of calculus. The first section introduces the concept of a function and covers topics such as graphs, inverse functions, and composition. The second section covers limits, including the definition of a limit, one-sided limits, and limits at infinity. The third section covers derivatives, including the definition of a derivative, the chain rule, and implicit differentiation. The fourth section covers applications of derivatives, including optimization problems and related rates. The fifth section covers integrals, including the definition of an integral, the fundamental theorem of calculus, and techniques of integration. The final section covers applications of integrals, including areas, volumes, and work. Throughout the book, there are numerous examples and exercises to help reinforce the concepts covered. Overall, Elementary Analysis is a comprehensive introduction to calculus that is suitable for students with a solid foundation in algebra and trigonometry.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.
