Fundamentals of Number Theory (Dover Books on Mathematics)

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9780486689067: Fundamentals of Number Theory (Dover Books on Mathematics)
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Basic treatment, incorporating language of abstract algebra and a history of the discipline. Topics include 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, more. Includes many problems. Bibliography. Advanced undergraduate-beginning graduate-level. 1977 edition.

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9780201042870: Fundamentals of number theory

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ISBN 10:  0201042878 ISBN 13:  9780201042870
Publisher: Addison-Wesley, 1977
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Book Description Dover Publications Inc., United States, 1996. Paperback. Condition: New. New edition. Language: English. Brand new Book. 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. Seller Inventory # AAC9780486689067

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