Reading, writing, and proving : a closer look at mathematics / Ulrich Daepp, Pamela Gorkin.
| Author/creator | Daepp, Ulrich author. |
| Other author | Gorkin, Pamela, author. |
| Format | Book |
| Edition | Third edition. |
| Publication | New York : Springer, [2026] |
| Description | xv, 429 pages : illustrations (partly color), diagrams ; 25 cm. |
| Subjects |
| Series | Undergraduate texts in mathematics Undergraduate texts in mathematics. |
| 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 -- Mathematical Induction -- 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 -- Sequences -- Convergence of sequences of real numbers -- Equivalent sets -- Finite sets and an infinite set -- Countable and uncountable sets -- The Cantor-Schröder-Bernstein theorem -- Complex Numbers and Functions -- Metric spaces -- Getting to know open and closed sets -- Modular arithmetic -- Fermat's little theorem -- Projects. |
| General note | Previous edition: 2011. |
| Bibliography note | Includes bibliographical references and index. |
| ISBN | 9781071646373 hardback |
| ISBN | 1071646370 |
| Standard identifier# | CIPO000250159 |
Availability
| Library | Location | Call Number | Status | Item Actions |
|---|---|---|---|---|
| Joyner | New Books | QA13 .D34 2026 | ✔ Available | Want This? |