Elementary Analysis is a textbook written by Percy Franklyn Smith and first published in 1910. The book is aimed at undergraduate students studying mathematics and covers the fundamental principles of mathematical analysis. The topics covered in the book include functions, limits, continuity, differentiation, integration, series, and sequences. The author presents the material in a clear and concise manner, with numerous examples and exercises to reinforce understanding. The book is considered a classic in the field of mathematical analysis and has been widely used as a textbook for over a century. It is suitable for students with a basic knowledge of calculus and linear algebra and provides a solid foundation for further study in advanced mathematics.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.