TY - BOOK AU - M H Protter AU - C B Morrey TI - A first course in real analysis: : second edition T2 - Undergraduate Texts in Mathematics SN - 9789624300130 AV - QA300.P PY - 1991///] CY - USA PB - Springer- Verlag, N1 - Ch 1. The Real Number System Ch 2. Continuity and Limits Ch 3. Basic Properties of Functions on ℝ1 Ch 4. Elementary Theory of Differentiation Ch 5. Elementary Theory of Integration Ch 6. Elementary Theory of Metric Spaces Ch 7. Differentiation in ℝN Ch 8. Integration in ℝN Ch 9. Infinite Sequences and Infinite Series Ch 10. Fourier Series Ch 11. Functions Defined by Integrals; Improper Integrals Ch 12. The Riemann—Stieltjes Integral and Functions of Bounded Variation Ch 13. Contraction Mappings, Newton’s Method, and Differential Equations Ch 14. Implicit Function Theorems and Lagrange Multipliers Ch 15. Functions on Metric Spaces; Approximation Ch 16. Vector Field Theory; the Theorems of Green and Stokes N2 - 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. --- summary provided by publisher ER -