Download or read book The Fundamentals of Analysis for Talented Freshmen written by Peter M. Luthy and published by Springer Nature. This book was released on 2022-05-31 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book assumes the students know some of the basic facts about Calculus. We are very rigorous and expose them to the proofs and the ideas which produce them. In three chapters, this book covers these number systems and the material usually found in a junior-senior advanced Calculus course. It is designed to be a one-semester course for "talented" freshmen. Moreover, it presents a way of thinking about mathematics that will make it much easier to learn more of this subject and be a good preparation for more of the undergraduate curriculum.