http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
Many changes have been made in this second edition of A First Course in Real Analysis. The most noticeable is the addition of many problems and the inclusion of answers to most of the odd-numbered exercises. The book's readability has also been improved by the further clarification of many of the proofs, additional explanatory remarks, and clearer notation.
The Real Number System -- Continuity and Limits -- Basic Properties of Functions on R -- Elementary Theory of Differentiation -- Elementary Theory of Integration -- Elementary Theory of Metric Spaces -- Differentiation in R -- Integration in R -- Infinite Sequences and Infinite Series -- Fourier Series -- Functions Defined by Integrals.-Improper Integrals -- The Riemann-Stieltjes Integral and Functions of Bounded Variation -- Contraction Mappings, Newton's Method, and Differential Equations -- Implicit Function Theorems and Lagrange Multipliers -- Functions on Metric Spaces -- Approximation -- Vector Field Theory; the Theorems of Green and Stokes. Appendices.
by Murray H. Protter, Charles B. Morrey.