Fundamentals of number theory

LeVeque, William Judson

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ISBN 10: 0486689069 ISBN 13: 9780486689067

Published by Dover Publications, New York, 1996

Language: English

Condition: Used - Good Soft cover

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Bibliographic Details

Title

Fundamentals of number theory

Publisher

Dover Publications, New York

Publication Date

1996

Language

English

ISBN 10

0486689069

ISBN 13

9780486689067

Binding

Paperback

Condition

Good condition

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Synopsis

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.

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James Lawton, a graduate of Benedictine University, has Master?s degrees in English and in Library Science from the University of Michigan. From 1963 to 1967, he served as the Rare Book Assistant for the Department of Rare Books and Special Collections, at the University of Michigan. He was the Rare Book Bibliographer at Syracuse University Library, in 1967 and 1968. In 1969 he was appointed Curator of Manuscripts, Department of Rare Books and Manuscripts, Boston Public Library. He became Assistant Keeper of Rare Books and Manuscripts Boston Public Library, in 1975. From 1980 to 2000 he was the owner and proprietor of Brookline Village Books, a retail establishment specializing in general out-of-print, scholarly, and rare books. In 2000 the business became internet based only under the name J. Lawton, Booksellers.

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