| Description |
xvi, 395 pages : illustrations ; 24 cm. |
| Series |
Undergraduate texts in mathematics
|
|
Undergraduate texts in mathematics.
|
| Bibliography |
Includes bibliographical references (pages 383-388) and index. |
| Contents |
How, when, and why of mathematics -- Logically speaking -- Introducing the contrapositive and converse -- Set notation and quantifiers -- Proof techniques -- Sets -- Operations on sets -- More on operations on sets -- Power set and the Cartesian product -- Relations -- Partitions -- Order in the reals -- Functions, domain, and range -- Functions, one-to-one, and onto -- Inverses -- Images and inverse images -- Mathematical induction -- Sequences -- Convergence of sequences of real numbers -- Equivalent sets -- Finite sets and an infinite set -- Countable and uncountable sets. |
|
Metric spaces -- Getting to know open and closed sets -- Modular arithmetic -- Fermat's little theorem -- Projects. |
| Subject |
Mathematics -- Study and teaching (Higher) -- United States.
|
|
Mathematics -- Study and teaching (Higher) |
|
United States. |
|
Technical writing -- Study and teaching (Higher) -- United States.
|
|
Technical writing -- Study and teaching (Higher) |
|
Technical writing. |
| Added Author |
Gorkin, Pamela.
|
| ISBN |
0387008349 alkaline paper |
|
