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This excellent textbook introduces the basics of number theory, incorporating the language of abstract algebra. A knowledge of such algebraic concepts as group, ring, field, and domain is not assumed, however; all terms are defined and examples are given — making the book self-contained in this respect.

The author begins with an introductory chapter on number theory and its early history. Subsequent chapters deal with unique factorization and the GCD, quadratic residues, number-theoretic functions and the distribution of primes, sums of squares, quadratic equations and quadratic fields, diophantine approximation, and more. Included are discussions of topics not always found in introductory texts: factorization and primality of large integers, *p*-adic numbers, algebraic number fields, Brun's theorem on twin primes, and the transcendence of *e*, to mention a few.

Readers will find a substantial number of well-chosen problems, along with many notes and bibliographical references selected for readability and relevance. Five helpful appendixes — containing such study aids as a factor table, computer-plotted graphs, a table of indices, the Greek alphabet, and a list of symbols — and a bibliography round out this well-written text, which is directed toward undergraduate majors and beginning graduate students in mathematics. No post-calculus prerequisite is assumed. 1977 edition.

Reprint of the Addison-Wesley Publishing Company, Reading, Massachusetts, 1977 edition.

Availability | Out of Stock |

ISBN 10 | 0486689069 |

ISBN 13 | 9780486689067 |

Author/Editor | William J. LeVeque |

Format | Book |

Page Count | 288 |

Dimensions | 5 1/2 x 8 1/2 |

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