This concise text clearly presents the material needed for year-long analysis courses for advanced undergraduates or beginning graduates.

John B. Conway is Professor Emeritus of Mathematics at George Washington University, Washington DC. He is the author of eleven books, including Mathematical Connections: A Capstone Course (2010), A Course in Functional Analysis (2010), and the two-volume Functions of One Complex Variable (1995).

1. The real numbers; 2. Differentiation; 3. Integration; 4. Sequences of functions; 5. Metric and Euclidean spaces; 6. Differentiation in higher dimensions; 7. Integration in higher dimensions; 8. Curves and surfaces; 9. Differential forms.