The Way of Analysis gives a thorough account of real analysis in one or several variables, from the construction of the real number system to an introduction of the Lebesgue integral. The text provides proofs of all main results, as well as motivations, examples, applications, exercises, and formal chapter summaries. Additionally, there are three chapters on application of analysis, ordinary differential equations, Fourier series, and curves and surfaces to show how the techniques of analysis are used in concrete settings. The Way of Analysis is intended for a one- or two-semester real analysis course, including or not including an introduction to Lebesgue integration, at the undergraduate or beginning graduate level. Introduction to Real Analysis Real Analysis I & II Principles of Analysis Applied Real Analysis © 2000 | 739 pages
