A concept of limits
An exploration of conceptual foundations and the practical applications of limits in mathematics, this text offers a concise introduction to the theoretical study of calculus. It analyzes the idea of a generalized limit and explains sequences and functions to those for whom intuition cannot suffice. Many exercises with solutions. 1966 edition.
Read More ↓Title Statements
- Full title :A concept of limits / Donald W. Hight.
Summary
An exploration of conceptual foundations and the practical applications of limits in mathematics, this text offers a concise introduction to the theoretical study of calculus. It analyzes the idea of a generalized limit and explains sequences and functions to those for whom intuition cannot suffice. Many exercises with solutions. 1966 edition.
Read More ↓Edition Statements
- Publication Date:©1977.
Publication Statements
- Publisher(s):Dover Publications
- Place of Publication:New York
- Language:eng
- Publication Date:©1977.
The Physical Object
- Description:1 online resource (152 pages)
Edition Identifiers
- ISBN:9780486153124, 0486153126
- oclc:ocn654667170
- LC Classification:QA306
- Dewey Decimal:515/.222
Table of Contents
Cover; Title Page; Dedication; Copyright Page; Table of Contents; 1 -- Sequences and their Limits; 1-1 Infinite Sequences; 1-2 Graphs of Infinite Sequences; 1-3 Some Examples to Ponder; 1-4 Types of Sequences; 1-5 Circumference of a Circle; 1-6 Sequences in the Physical World and in History; 1-7 The Limit of a Sequence: Informal; 1-8 A Precise Language; 1-9 Limit of a Sequence; 1-10 Graphical Interpretation of the Limit; 1-11 Theorems on Limits; 1-12 Applications of Limits of Sequences; 2 Functions and their Limits; 2-1 Functions; 2-2 Graphs of Functions; 2-3 Some Examples to Ponder.
2-4 Classification of Functions2-5 A Limit of a Function: Informal; 2-6 The Limit At-The-Right; 2-7 The Limit At-The-Left; 2-8 Theorems on Limits; 2-9 Another Type of Limit; 2-10 More Examples to Ponder; 2-11 Limits at a Real Number b; 2-12 More Theorems on Limits; 2-13 Some Special Limits; 2-14 Continuity; 3 Generalization and Application of the Limit Concept; 3-1 Arithmetic of Functions; 3-2 Interrelation of Limit Definitions; 3-3 The Generalized Limit; 3-4 Generalized Limit Theorems; 3-5 More on Composition and Continuity; 3-6 Limits in High School Mathematics; 3-7 On from Here ...
3-8 OverviewGl…
Subjects
Writers
More from this Series
No reviews yet. Be the first to rate this work.
Related Works
more →
Files & Downloads
-
A Concept of Limits -- (.epub)
EPUB · 9.9 MB · updated
Rate & Review