| Description |
xiii, 376 pages : illustrations ; 25 cm |
| Series |
Undergraduate texts in mathematics ; 0172-6056 |
|
Undergraduate texts in mathematics ; 0172-6056
|
| Contents |
The 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 -- The power set and the Cartesian product -- Relations -- Partitions -- Order in the reals -- Consequences of the completeness of R -- 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 -- The Cantor-Schröder-Bernstein theorem -- Metric spaces -- Getting to know open and closed sets -- Modular arithmetic -- Fermat's little theorem -- Projects |
| Bibliography |
Includes bibliographical references (pages 367-370) and index |
| Subject |
Mathematics -- Study and teaching (Higher) -- United States.
|
|
Technical writing -- Study and teaching (Higher) -- United States.
|
| Author |
Gorkin, Pamela.
|
| LC no. |
2011931085 |
| ISBN |
9781441994783 |
|
1441994785 |
|
