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Careful organization and clear, detailed proofs characterize this methodical, self-contained exposition of basic results of classical algebraic number theory from a relatively modem point of view. This volume presents most of the number-theoretic prerequisites for a study of either class field theory (as formulated by Artin and Tate) or the contemporary treatment of analytical questions (as found, for example, in Tate's thesis).
Although concerned exclusively with algebraic number fields, this treatment features axiomatic formulations with a considerable range of applications. Modem abstract techniques constitute the primary focus. Topics include introductory materials on elementary valuation theory, extension of valuations, local and ordinary arithmetic fields, and global, quadratic, and cyclotomic fields.
Subjects correspond to those usually covered in a one-semester, graduate level course in algebraic number theory, making this book ideal either for classroom use or as a stimulating series of exercises for mathematically minded individuals.
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Book Description McGraw-Hill Book Company, Inc., New York, 1963. hardcover. Condition: Fair. International series in pure and applied mathematics 1963 Hardcover . 275 p. Former Library book. Includes bibliography. Shows definite wear, and perhaps considerable marking on inside. Seller Inventory # GRP80501222
Book Description McGraw-Hill Book Company, Inc., New York, 1963. hardcover. Condition: Fair. Former Library book. Shows definite wear, and perhaps considerable marking on inside. Seller Inventory # GRP92182309
Book Description McGraw-Hill Book Company, New York, 1963. Hardcover. First Edition; Early Printing. Book condition is Very Good; with a Very Good dust jacket. Edgewear to jacket, including a few short tears. Owner name to corner of front end page. Text is clean and unmarked. ; 8vo 8" - 9" tall. Seller Inventory # 6387