Gauss famously referred to mathematics as the "queen of the sciences" and to number theory as the "queen of mathematics". This book is an introduction to algebraic number theory, meaning the study of arithmetic in finite extensions of the rational number field Q. Originating in the work of Gauss, the foundations of modern algebraic number theory are due to Dirichlet, Dedekind, Kronecker, Kummer, and others. This book lays out basic results, including the three "fundamental theorems": unique factorization of ideals, finiteness of the class number, and Dirichlet's unit theorem. While these theorems are by now quite classical, both the text and the exercises allude frequently to more recent developments. In addition to traversing the main highways, the book reveals some remarkable vistas by exploring scenic side roads. Several topics appear that are not present in the usual introductory texts. One example is the inclusion of an extensive discussion of the theory of elasticity, which provides a precise way of measuring the failure of unique factorization. The book is based on the author's notes from a course delivered at the University of Georgia; pains have been taken to preserve the conversational style of the original lectures.
"synopsis" may belong to another edition of this title.
Paul Pollack, University of Georgia, Athens, GA.
This is a lucid, clearly written text, with a thoughtful choice and arrangement of topics, presented with contagious enthusiasm. It is a welcome addition to the existing literature on the subject. --Charles Helou, Mathematical Reviews
"About this title" may belong to another edition of this title.
Shipping:
US$ 3.75
Within U.S.A.
Seller: HPB-Red, Dallas, TX, U.S.A.
paperback. Condition: Good. Connecting readers with great books since 1972! Used textbooks may not include companion materials such as access codes, etc. May have some wear or writing/highlighting. We ship orders daily and Customer Service is our top priority! Seller Inventory # S_358609818
Quantity: 1 available
Seller: GreatBookPrices, Columbia, MD, U.S.A.
Condition: New. Seller Inventory # 29654692-n
Quantity: 1 available
Seller: PBShop.store UK, Fairford, GLOS, United Kingdom
PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # FW-9781470436537
Quantity: 3 available
Seller: GreatBookPrices, Columbia, MD, U.S.A.
Condition: As New. Unread book in perfect condition. Seller Inventory # 29654692
Quantity: 1 available
Seller: Revaluation Books, Exeter, United Kingdom
Paperback. Condition: Brand New. 316 pages. 8.50x5.50x0.50 inches. In Stock. Seller Inventory # __1470436531
Quantity: 2 available
Seller: THE SAINT BOOKSTORE, Southport, United Kingdom
Paperback / softback. Condition: New. New copy - Usually dispatched within 4 working days. 389. Seller Inventory # B9781470436537
Quantity: 3 available
Seller: Ria Christie Collections, Uxbridge, United Kingdom
Condition: New. In. Seller Inventory # ria9781470436537_new
Quantity: 3 available
Seller: Kennys Bookshop and Art Galleries Ltd., Galway, GY, Ireland
Condition: New. 2017. Paperback. . . . . . Seller Inventory # V9781470436537
Quantity: 1 available
Seller: moluna, Greven, Germany
Condition: New. KlappentextrnrnGauss famously referred to mathematics as the queen of the sciences” and to number theory as the queen of mathematics”. This book is an introduction to algebraic number theory, meaning the study of arithmetic in fini. Seller Inventory # 614189320
Quantity: 3 available
Seller: Kennys Bookstore, Olney, MD, U.S.A.
Condition: New. 2017. Paperback. . . . . . Books ship from the US and Ireland. Seller Inventory # V9781470436537
Quantity: 1 available