Bibliograph

Reading, writing, and proving, a closer look at mathematics, Ulrich Daepp, Pamela Gorkin

Type

Label

Reading, writing, and proving, a closer look at mathematics, Ulrich Daepp, Pamela Gorkin

Language

eng

Bibliography note

Includes bibliographical references (pages 383-388) and index

Illustrations

illustrations

Index

index present

Literary Form

non fiction

Main title

Reading, writing, and proving

Nature of contents

bibliography

Oclc number

51817462

Responsibility statement

Ulrich Daepp, Pamela Gorkin

Series statement

Undergraduate texts in mathematics

Sub title

a closer look at mathematics

Table Of 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 setsMetric spaces -- Getting to know open and closed sets -- Modular arithmetic -- Fermat's little theorem -- Projects

Contributor