Chargement en cours…
First Course in Real Analysis.
| Cote: | Libro Electrónico |
|---|---|
| Auteur principal: | |
| Autres auteurs: | , |
| Format: | Électronique eBook |
| Langue: | Inglés |
| Publié: |
New York :
Springer New York,
1991.
|
| Édition: | N. |
| Sujets: | |
| Accès en ligne: | Texto completo |
Table des matières:
- 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.