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First Course in Real Analysis.
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New York :
Springer New York,
1991.
|
| Edición: | N. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Undergraduate Texts in Mathematics; A First Course in Real Analysis; Copyright; Preface to the Second Edition; Preface to the First Edition; Contents; 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 Function Theorems and Lagrange Multipliers ; CHAPTER 15 Functions on Metric Spaces; Approximation ; CHAPTER 16 Vector Field Theory; the Theorems of Green and Stokes ; Appendixes; Answers to Odd-Numbered Problems; Index.