| Description |
xii, 149 pages : illustrations ; 23 cm |
| Contents |
Some Basic Techniques Used in Proving a Theorem of the Form "If A, then B" -- Direct Proof -- Related Statements -- Proof by Contrapositive -- How to Construct the Negation of a Statement -- Special Types of Theorems -- "If and only if" or Equivalence Theorems -- Use of Counterexamples -- Mathematical Induction -- Existence Theorems -- Uniqueness Theorems -- Equality of Sets -- Equality of Numbers -- Composite Statements -- Review Exercises -- Exercises Without Solutions -- Collection of "Proofs" -- Solutions for the Exercises at the End of the Sections and the Review Exercises -- Solutions for the Exercises at the End of the Sections -- Solutions for the Review Exercises -- Other Books on the Subject of Proofs and Mathematical Writing -- Books on Mathematical Writing |
| Bibliography |
Includes bibliographical references (pages 147-148) and index |
| Subject |
Proof theory.
|
| LC no. |
00111079 |
| ISBN |
0121994511 (acid-free paper) |
|
