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## Details

Document Type: | Book |
---|---|

All Authors / Contributors: |
D J H Garling |

ISBN: | 9781107032026 1107032024 9781107032040 1107032040 9781107614185 110761418X 9781107663305 110766330X 1107032032 9781107032033 1107675324 9781107675322 |

OCLC Number: | 827197382 |

Notes: | Includes index. |

Description: | volumes : illustrations ; 26 cm |

Contents: | v. 1. Foundations and elementary real analysis -- v. 2. Metric and topological spaces, functions of a vector variable -- v. 3. Complex analysis, measure and integration. |

Responsibility: | D.J.H. Garling, Emeritus Reader in Mathematical Analysis, University of Cambridge, and Fellow of St. John's College, Cambridge. |

More information: |

### Abstract:

## Reviews

*Editorial reviews*

Publisher Synopsis

'Garling is a gifted expositor and the book under review really conveys the beauty of the subject, not an easy task. [It] comes with appropriate examples when needed and has plenty of well-chosen exercises as may be expected from a textbook. As the author points out in the introduction, a newcomer may be advised, on a first reading, to skip part one and take the required properties of the ordered real field as axioms; later on, as the student matures, he/she may go back to a detailed reading of the skipped part. This is good advice.' Felipe Zaldivar, MAA Reviews 'This work is the first in a three-volume set dedicated to real and complex analysis that 'mathematical undergraduates may expect to meet in the first two years or so ... of analysis' ... The exposition is superb: open and nontelegraphic. Highly recommended. Upper-division undergraduates and graduate students.' D. Robbins, Choice 'These three volumes cover very thoroughly the whole of undergraduate analysis and much more besides.' John Baylis, The Mathematical Gazette "Garling is a gifted expositor and the book under review really conveys the beauty of the subject, not an easy task. [It] comes with appropriate examples when needed and has plenty of well-chosen exercises as may be expected from a textbook. As the author points out in the introduction, a newcomer may be advised, on a first reading, to skip part one and take the required properties of the ordered real field as axioms; later on, as the student matures, he/she may go back to a detailed reading of the skipped part. This is good advice." Felipe Zaldivar, MAA Reviews "This work is the first in a three-volume set dedicated to real and complex analysis that "mathematical undergraduates may expect to meet in the first two years or so ... of analysis" ... The exposition is superb: open and nontelegraphic. Highly recommended. Upper-division undergraduates and graduate students." D. Robbins, Choice "These three volumes cover very thoroughly the whole of undergraduate analysis and much more besides." John Baylis, The Mathematical Gazette Read more...

*User-contributed reviews*