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The Theory of Algebraic Numbers (Dover Books on Mathematics) - Softcover
Book 109 of 303: Dover Books on Mathematics
Synopsis
Detailed proofs and clear-cut explanations provide an excellent introduction to the elementary components of classical algebraic number theory in this concise, well-written volume.
The authors, a pair of noted mathematicians, start with a discussion of divisibility and proceed to examine Gaussian primes (their determination and role in Fermat's theorem); polynomials over a field (including the Eisenstein irreducibility criterion); algebraic number fields; bases (finite extensions, conjugates and discriminants, and the cyclotomic field); and algebraic integers and integral bases. After establishing a firm introductory foundation, the text explores the uses of arithmetic in algebraic number fields; the fundamental theorem of ideal theory and its consequences; ideal classes and class numbers; and the Fermat conjecture (concluding with discussions of Pythagorean triples, units in cyclotomic fields, and Kummer's theorem).
In addition to a helpful list of symbols and an index, a set of carefully chosen problems appears at the end of each chapter to reinforce mathematics covered. Students and teachers of undergraduate mathematics courses will find this volume a first-rate introduction to algebraic number theory.
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The Theory of Algebraic Numbers (Dover Books on Mathematics)
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Dover Publications (edition Subsequent), 2010
ISBN 10: 0486404544
ISBN 13: 9780486404547
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Paperback. Condition: Very Good. Subsequent. It's a well-cared-for item that has seen limited use. The item may show minor signs of wear. All the text is legible, with all pages included. It may have slight markings and/or highlighting. Seller Inventory # 0486404544-11-1
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The Theory of Algebraic Numbers (Dover Books on Mathematics)
Published by
Dover Publications (edition Subsequent), 2010
ISBN 10: 0486404544
ISBN 13: 9780486404547
Used
Paperback
Seller: BooksRun, Philadelphia, PA, U.S.A.
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Paperback. Condition: Very Good. Subsequent. It's a well-cared-for item that has seen limited use. The item may show minor signs of wear. All the text is legible, with all pages included. It may have slight markings and/or highlighting. Seller Inventory # 0486404544-8-1
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The Theory of Algebraic Numbers
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The Theory of Algebraic Numbers
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The Theory of Algebraic Numbers (Dover Books on Mathematics)
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ISBN 10: 0486404544
ISBN 13: 9780486404547
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