Introduction to Real AnalysisAn elementary introduction to analysis. Limits the discussion to one variable, and presents detailed explanations and examples, focusing considerable attention on error estimation and other concepts relevant to computer science. |
Contents
CHAPTER ONE A Glimpse at Set Theory | 1 |
CHAPTER TWO The Real Numbers | 27 |
CHAPTER THREE Sequences | 69 |
Copyright | |
7 other sections not shown
Common terms and phrases
apply approximation arbitrary assertion belong calculate called Cauchy closed cluster point compact conclude condition Consequently consider contains converges Corollary corresponding decimal defined Definition denote derivative Determine differentiable discuss divergent elements equal establish example Exercise exists f is continuous fact Figure finite follows formula function f give given Hence holds implies important increasing induction inequality infinite integrable interval inverse let f Let f(x lim f lim f(x limit lower Mean Mean Value Theorem monotone natural number neighborhood Note notion obtain partition positive preceding Proof properties Prove radius of convergence rational number reader real numbers respectively result Riemann Riemann integral root satisfy Section seen sequence Similarly strictly subsequence subset Suppose Test uniform uniformly union upper bound Value Theorem whence write