TY - BOOK AU - Protter,Murray H. AU - Morrey,Charles B. TI - A first course in real analysis T2 - Undergraduate Texts in Mathematics SN - 0387974377 U1 - 515 PY - 1991/// CY - New York : PB - Springer-Verlag , KW - Análisis matemático KW - Números reales KW - Series de Fourier KW - Sucesiones (Matemáticas) KW - Integral de riemann KW - Integrales de stieltjes KW - Espacios métricos KW - Ecuaciones diferenciales KW - Campos vectoriales KW - Ciencias físicas KW - Matemáticas N1 - Incluye índice.; CHAPTER 1; The real number system; CHAPTER 2; Continuity and limits; CHAPTER 3; Basic properties of functions on R1; CHAPTER 4; Elementary theory of differentiation; CHAPTER 5; Elementary theory of integration; CHAPTER 6; Elementary theory of metric spaces; CHAPTER 7; Differentiation in Rn; CHAPTER 8; Integration in Rn; CHAPTER 9; Infinite sequences and infinite series; CHAPTER 10; Fourier series; CHAPTER 11; Functions defined by integrals; improper integrals; CHAPTER 12; The Riemann-Stieltjes integral and functions of bounded variation; CHAPTER 13; Contraction mappings, Newton's method, and differential equations; CHAPTER 14; Implicit on metric spaces; approximation; CHAPTER 15; Functions on metric spaces; Approximation; CHAPTER 16; Vector field theory; the theorems of green and stokes ER -