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Seller: California Books, Miami, FL, U.S.A.
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Seller: Grand Eagle Retail, Fairfield, OH, U.S.A.
Hardcover. Condition: new. Hardcover. This book introduces algebraic number theory through the problem of generalizing 'unique prime factorization' from ordinary integers to more general domains. Solving polynomial equations in integers leads naturally to these domains, but unique prime factorization may be lost in the process. To restore it, we need Dedekind's concept of ideals. However, one still needs the supporting concepts of algebraic number field and algebraic integer, and the supporting theory of rings, vector spaces, and modules. It was left to Emmy Noether to encapsulate the properties of rings that make unique prime factorization possible, in what we now call Dedekind rings. The book develops the theory of these concepts, following their history, motivating each conceptual step by pointing to its origins, and focusing on the goal of unique prime factorization with a minimum of distraction or prerequisites. This makes a self-contained easy-to-read book, short enough for a one-semester course. This book, meant for undergraduate mathematics students and teachers, introduces algebraic number theory through problems from ordinary number theory that can be solved with the help of algebraic numbers, using a suitable generalization of unique prime factorization. The material is motivated by weaving historical information throughout. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9781316518953
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Seller: Revaluation Books, Exeter, United Kingdom
Hardcover. Condition: Brand New. 250 pages. 9.00x6.00x0.56 inches. In Stock. This item is printed on demand. Seller Inventory # __1316518957
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Seller: Ria Christie Collections, Uxbridge, United Kingdom
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Seller: BooksRun, Philadelphia, PA, U.S.A.
Hardcover. Condition: Very Good. New. Ship within 24hrs. Satisfaction 100% guaranteed. APO/FPO addresses supported. Seller Inventory # 1316518957-8-1
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Seller: THE SAINT BOOKSTORE, Southport, United Kingdom
Hardback. Condition: New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days 490. Seller Inventory # C9781316518953
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Seller: Russell Books, Victoria, BC, Canada
Hardcover. Condition: New. New. Special order direct from the distributor. Seller Inventory # ING9781316518953
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Seller: Revaluation Books, Exeter, United Kingdom
Hardcover. Condition: Brand New. 250 pages. 9.00x6.00x0.56 inches. In Stock. Seller Inventory # x-1316518957
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Seller: moluna, Greven, Germany
Gebunden. Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. This book, meant for undergraduate mathematics students and teachers, introduces algebraic number theory through problems from ordinary number theory that can be solved with the help of algebraic numbers, using a suitable generalization of unique prime fact. Seller Inventory # 539766801
Quantity: Over 20 available