Book:William K. Smith/Limits and Continuity
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William K. Smith: Limits and Continuity
Published $\text {1964}$, MacMillan
Subject Matter
Contents
- Preface
- Chapter 1. Introduction
- Chapter 2. Notation and Prerequisites
- 2.1 Sets
- 2.2 Functions
- 2.3 Inequalities
- 2.4 Absolute Value
- Chapter 3. The Basic Definition
- 3.1 The First Version
- 3.2 Second and Third Versions
- 3.3 The Fourth Version
- 3.4 Final Version, or Success at Last
- Chapter 4. Variations on the Basic Definition
- 4.1 Statements Involving $\infty$
- 4.2 One-sided Limits
- 4.3 Limits of Sequences
- Chapter 5. Continuity
- 5.1 Preliminary Discussion and Definition
- 5.2 Further Remarks
- Chapter 6. Some $\delta - \epsilon$ Techniques
- 6.1 Introduction
- 6.2 Illustrative Examples
- 6.3 Relation Between $\epsilon$ and Maximum $\delta$
- Chapter 7. Theorems on Limits and Continuity
- 7.1 The Limit Theorems
- 7.2 Illustrations and Application of the Theorems
- 7.3 Theorems on Sequences
- 7.4 Uniform Continuity
- 7.5 Additional Theorems about a Function Continuous on a Closed Interval
- Answers
- Index
Source work progress
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