Ebook: Analysis: an introduction

Suitable for a two- or three-semester undergraduate course, this textbook provides an introduction to mathematical analysis. Beals (mathematics, Yale U.) begins with a discussion of the properties of the real numbers and the theory of series and one-variable calculus. Other topics include measure theory, Fourier analysis, and differential equations. It is assumed that the reader already has a good working knowledge of calculus. Nearly 500 exercises (with hints given at the end of each) help students to test their understanding and practice mathematical exposition.