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## Details

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

All Authors / Contributors: |
Frazer Jarvis |

ISBN: | 9783319075440 3319075446 |

OCLC Number: | 889026619 |

Description: | xiii, 292 pages : illustrations ; 24 cm. |

Contents: | 1. Unique factorisation in the natural numbers -- 2. Number fields -- 3. Fields, discriminants and integral bases -- 4. Ideals -- 5. Prime ideals and unique factorisation -- 6. Imaginary quadratic fields -- 7. Lattices and geometrical methods -- 8. Other fields of small degree -- 9. Cyclotomic fields and the fermat equation -- 10. Analytic methods -- 11. The number field sieve -- Appendix A: Solutions and hints to exercises. |

Series Title: | Springer undergraduate mathematics series |

Responsibility: | Frazer Jarvis. |

### Abstract:

## Reviews

*Editorial reviews*

Publisher Synopsis

"Undergraduate mathematics students need both to develop facility with numerical and symbolic calculation and comfort with abstraction. Algebraic number theory offers an ideal context for encountering the synthesis of these goals. One could compile a shelf of graduate-level expositions of algebraic number theory, and another shelf of undergraduate general number theory texts that culminate with a first exposure to it. ... Summing Up: Highly recommended. Upper-division undergraduates." (D. V. Feldman, Choice, Vol. 52 (8), April, 2015)"In this book, the author leads the readers from the theorem of unique factorization in elementary number theory to central results in algebraic number theory. ... This book is designed for being used in undergraduate courses in algebraic number theory; the clarity of the exposition and the wealth of examples and exercises (with hints and solutions) also make it suitable for self-study and reading courses." (Franz Lemmermeyer, zbMATH, Vol. 1303, 2015) Read more...

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