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## Details

Genre/Form: | Electronic books |
---|---|

Material Type: | Bibliographic data, Internet resource |

Document Type: | Internet Resource, Computer File |

All Authors / Contributors: |
Geoff Smith |

ISBN: | 9781447106197 1447106199 |

OCLC Number: | 840277153 |

Description: | 1 online resource (XVI, 216 pages 19 illustrations). |

Contents: | Preface -- Sets, Functions and Relations -- Proof -- Complex Numbers -- Vectors and matrices -- Group Theory -- Sequences and series -- Continuity and functions -- Index. |

Series Title: | Springer undergraduate mathematics series. |

Responsibility: | by Geoff Smith. |

### Abstract:

This text provides a self-contained introduction to Pure Mathematics. The style is less formal than in most text books and this book can be used either as a first semester course book, or as introductory reading material for a student on his or her own. An enthusiastic student would find it ideal reading material in the period before going to University, as well as a companion for first-year pure mathematics courses. The book begins with Sets, Functions and Relations, Proof by induction and contradiction, Complex Numbers, Vectors and Matrices, and provides a brief introduction to Group Theory. It moves onto analysis, providing a gentle introduction to epsilon-delta technology and finishes with Continuity and Functions, or hat you have to do to make the calculus work Geoff Smith's book is based on a course tried and tested on first-year students over several years at Bath University. Exercises are scattered throughout the book and there are extra exercises on the Internet.

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