Completely revised and updated, the second edition of An Introduction to Analysis presents a concise and sharply focused introduction to the basic concepts of analysis-from the development of real numbers through uniform convergences of a sequence of functions-and includes coverage both of the analysis of functions of more than one variable and of differential equations. This student-friendly text maintains a cautious and deliberate pace, and examples and figures are used extensively to assist the reader in understanding the concepts and then applying them. Students will become actively engaged in the learning process with a broad and comprehensive collection of problems found at the end of each section.