Luthy, Peter M.

The Fundamentals of Analysis for Talented Freshmen [electronic resource] / by Peter M. Luthy, Guido L. Weiss, Steven S. Xiao. - 1st ed. 2016. - XIII, 84 p. online resource. - Synthesis Lectures on Mathematics & Statistics, 1938-1751 . - Synthesis Lectures on Mathematics & Statistics, .

List of Figures -- Preface -- Limits, Continuity, and Compactness -- Differentiation on R -- One and Several Dimensional Integral Calculus -- Authors' Biographies -- Index .

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.

9783031024092

10.1007/978-3-031-02409-2 doi


Mathematics.
Statistics .
Engineering mathematics.
Mathematics.
Statistics.
Engineering Mathematics.

QA1-939

510