Basic elements of real analysis - Protter, Murray H. (New York, NY Springer-Verlag New York, Inc., 1998)
1. The real number system -- 2. Continuity and limits -- 3. Basic properties of functions on R¹ -- 4. Elementary theory of differentiation -- 5. Elementary theory of integration -- 6. Elementary theory of metric spaces -- 7. Differentiation and integration in R[n] -- 8. Infinite series -- 9. The derivative of an integral; Improper integrals -- 10. The Riemann-Stieltjes integral -- 11. The implicit function theorem; Lagrange multipliers -- 12. Vector functions on R[n]; the theorems of Green and Stokes.
With 48 illustrations--Title page.
Includes bibliographical references and index.
Keywords: Mathematical analysis